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1The Theory Of Spectra And Atomic Constitution

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Book Source: Digital Library of India Item 2015.160977 dc.contributor.author: Niels Bohr dc.contributor.other: Cambridge University Press dc.date.accessioned: 2015-07-06T21:44:35Z dc.date.available: 2015-07-06T21:44:35Z dc.date.digitalpublicationdate: 2015-03-03 dc.identifier: CMU dc.identifier.barcode: 1990050026854 dc.identifier.origpath: /data/upload/0026/859 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/160977 dc.description.scanningcentre: AKCE, Universal Digital Library dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 137 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Akce-universal Digital Library dc.publisher: Cambridge University Press dc.rights: Out_of_copyright dc.source.library: Cmu dc.title: The Theory Of Spectra And Atomic Constitution dc.rights.holder: Cambridge University Press

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2The Theory Of Atomic Spectra

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Book Source: Digital Library of India Item 2015.176923 dc.date.accessioned: 2015-07-07T05:03:24Z dc.date.available: 2015-07-07T05:03:24Z dc.date.digitalpublicationdate: 0000-00-00 dc.date.citation: 1935 dc.identifier.barcode: 99999990013006 dc.identifier.origpath: /data/upload/0013/011 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/176923 dc.description.scanningcentre: IIAp, Bangalore dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 459 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Iia dc.publisher: Cambridge University Press dc.rights: Out_of_copyright dc.source.library: Indian Institute Of Astrophyics dc.title: The Theory Of Atomic Spectra dc.rights.holder: Cambridge University Press

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3DTIC ADA324379: International Journal Of Quantum Chemistry. Proceedings Of The International Symposium On Atomic, Molecular, And Condensed Matter Theory And Computational Methods. Quantum Chemistry Symposium Number 30. Volume 60, Number 7, 1996.

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The Sanibel Symposium on the Quantum Theory of Matter, embracing Quantum Chemistry, Quantum Biology and Solid-State Physics, have been held annually since their beginning in 1961. The 1996 symposium represents the 36th meeting. The Sanibel Symposia, which are uniquely influential in the field of Quantum Theory of matter, address the critical areas of research where modern quantum theoretical methods are playing key roles in the elucidation of current concepts and topics of great interest. Today the format for these symposia consists of a single eight-day meeting composed of various topical subsymposia that cover a wide range of current topics in molecular and materials sciences. This compact schedule, with no reduction in the total number of plenary and poster sessions, meets the original goals of the Sanibel Symposium, which are to stimulate the ex- change of ideas on a cross disciplinary, international level and to report on the current state-of-the-art methodology for quantum theoretical computational methods. Typically, more than 300 scientists from 30-40 different nations come to this symposium. We expect a similar sized meeting for 1996.

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4Some Objections To The Atomic Theory

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"Some Objections to the Atomic Theory" is an article from Science, Volume 11 . View more articles from Science . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1626572

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5Atomic Theory Methods For The Polarization In Photon And Electron Interactions With Atoms

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An alternative method to the density matrix formalism for the derivation of general expressions of the interaction of polarized atoms with polarized photons and electrons is presented. The expression for the cross-section describing the polarization states of all particles taking part in the process are obtained in the form of an expansion via irreducible tensors that have the most simplest possible behaviour under changes of directions. The ways of the application of the general expressions suitable for the specific experimental conditions are outlined by deriving asymmetry parameters of the angular distributions of photoelectrons and Auger electrons following photoionization as well as the parameters of the angular correlations between photo- and Auger electrons.

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6Wave Atom Optics Theory Of The Collective Atomic-Recoil Laser

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We present a wave atom optics theory of the Collective Atomic-Recoil Laser, where the atomic center-of-mass motion is treated quantum mechanically. It extends the previous ray atom optics theory, which treated the center-of-mass atomic motion classically, to the realm of ultracold atoms. For the case of a far off resonant pump laser we derive an analytical solution which gives the linear response of the CARL system for both the quantum and classical regimes. A linear stability analysis reveals significant qualitative differences between these two regimes, which arise from the effects of diffraction on the atomic center-of-mass motion.

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7Atomic Collisions; The Theory Of Electron-atom Collisions

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We present a wave atom optics theory of the Collective Atomic-Recoil Laser, where the atomic center-of-mass motion is treated quantum mechanically. It extends the previous ray atom optics theory, which treated the center-of-mass atomic motion classically, to the realm of ultracold atoms. For the case of a far off resonant pump laser we derive an analytical solution which gives the linear response of the CARL system for both the quantum and classical regimes. A linear stability analysis reveals significant qualitative differences between these two regimes, which arise from the effects of diffraction on the atomic center-of-mass motion.

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8The Atomic Theory Of Lucretius Contrasted With Modern Doctrines Of Atoms And Evolution

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xii, 249 p. 23 cm

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9Experiments And Observations On The Atomic Theory, And Electrical Phenomena

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3 unnumbered leaves, 180 pages : (8vo)

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10Many-body Atomic Physics : Lectures On The Application Of Many-body Theory To Atomic Physics

3 unnumbered leaves, 180 pages : (8vo)

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11Exposition Of The Atomic Theory Of Chymistry : And The Doctrine Of Definite Proportions

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3 unnumbered leaves, 180 pages : (8vo)

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12Foundations Of The Atomic Theory: Comprising Papers And Extracts By John Dalton, William Hyde Wollaston, M. D., And Thomas Thomson, M. D. (1802-1808)

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48 p. 19 cm

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13CIA Reading Room Cia-rdp83-00418r004400080007-7: THE SOVIET TECHNICAL PUBLICATIONS ON THE THEORY OF ATOMIC NUCLEI

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No Description

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14The Atomic Theory; Tr. By E. Cleminshaw

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15The Origin And Development Of The Atomic Theory

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16Foundations Of The Atomic Theory : Comprising Papers And Extracts By John Dalton, William Hyde Wollaston, M. D., And Thomas Thomson, M. D. (1802-1808)

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48 pages ; 19 cm

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17Atomic Energy Levels Population Kinetics In Dense Plasmas - Plasma Ions Electric Microfield Mixing Dynamics Effect (I): The General Theory

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In the present paper we introduce a full and closed system of atomic kinetic equations on fractions of atomic energy levels taking into account the effect of the plasma ions electric microfield mixing dynamics. The system of equations that we present is deduced from a full quantum multi-atomic states density matrix master equation. The analytical derivation of this atomic kinetic system of equations is based on the introduction of a new hierarchy chain of equations involving a new set of statistical atomic variables. The final system of atomic kinetic equations is obtained by introducing relation de fermeture to truncate the hierarchy chain of equations. We show that the final system of equations contains a new plasma ions electric microfield dependent atomic rates related to the process of mixing dynamics of atomic energy states. The analytical expression of this rate is given in this paper. We discuss the importance of the present analysis in view of the radiation emission originating from dense plasmas created by the interaction of the X-ray Free Electron Laser (XFEL) with solid density matter.

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18On The Nature Of Discrete Space-time: The Atomic Theory Of Space-time And Its Effects On Pythagoras's Theorem, Time Versus Duration, Inertial Anomalies Of Astronomical Bodies, And Special Relativity At The Planck Scale

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In this work, resolutions will be given for commonly stated problems associated with a model that assumes that space and time are discretized (i.e., atomized). This model is in contrast to the continuous space-time model that is used in all common physical theories and equations -- a model that assumes that spatial coordinates and time are continuous variables. The resolutions to the problems are arrived at, not by proposing any new theories or postulates, but by strictly adhering to: Ernst Mach's principle of non-absolute space, the tenets of logical positivism, quantum mechanics and general relativity. The problems associated with discrete space-time addressed in this paper include: Lorentz contraction (time dilation) of the ostensibly smallest spatial (temporal) interval, maintaining isotropy, violations of causality, and conservation of energy and momentum. Importantly, this work yields modifications to the standard formulae for time dilation and length contraction, with these modifications preserving the quantums of space and time and allowing for temporary travel at the speed of light. Also given are: a resolution to Weyl's tile argument, a modification of the 2500 year old Pythagoras's theorem, a reassessment of Henri Bergson's theory advocating a distinction between the time durations measured by scientists and an immutable "Time", and a discussion of whether Einstein's light-clocks are as ideal as most scientist believe. Also included is a demonstration of how discrete space imposes order upon John Wheeler's quantum foam such that the foam becomes a gravity crystal permeating all space and producing measurable inertial anomalies of astronomical bodies.

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19DTIC ADA320545: Second International Symposium On The Theory Of Atomic And Molecular Clusters. Book Of Abstracts.

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Partial contents: Spectral Shifts and Photodissociation of HF in Ar(n)HF (n=l-l4,54) Clusters; Laser Spectroscopy of Metal Clusters; Wavefunctions, Dynamics and Spectroscopy of Large Clusters; Clusters in Nanowires and Nanostructures; Ionization Energies, Stability and Fragmentation Dynamics of Fullerene Ions; Collisional Excitation and Unimolecular Dissociation of Aluminum Clusters; Theoretical Studies of the Structure and Dynamics of Metal/Hydrogen Systems: Diffusion and Path Integral Monte Carlo Investigations of Ni and Pd Clusters; High Resolution Ion Mobility Studies of Atomic Clusters; The Role of Entropy in Cluster Fragmentation. Microcanonical Thermodynamics; Ab Initio Monte Carlo: Application to Li8; The Motion of Protons in Water-Ammonia Clusters; Triaxial Deformations and Temperature Effects in Fermionic Clusters; Density Functional-Based Raman and IR Spectra of Si Clusters. p6-7

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20The Theory Of Atomic Collisions

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Book Source: Digital Library of India Item 2015.3748 dc.contributor.author: Mott N. F. dc.date.accessioned: 2015-06-19T14:26:50Z dc.date.available: 2015-06-19T14:26:50Z dc.date.digitalpublicationdate: 2006-12-01 dc.date.citation: 1949 dc.identifier: Librarian, BITS-Pilani dc.identifier.barcode: 99999990165934 dc.identifier.origpath: /data1/upload/0020/637 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/3748 dc.description.scanningcentre: C-DAC, Noida dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 410 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: Oxford At The Clarendon Press dc.rights: Copyright Permitted dc.source.library: Central Library, Bits- Pilani dc.title: The Theory Of Atomic Collisions

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21A Self-consistent Theory Of Atomic Fermi Gases With A Feshbach Resonance At The Superfluid Transition

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A self-consistent theory is derived to describe the BCS-BEC crossover for a strongly interacting Fermi gas with a Feshbach resonance. In the theory the fluctuation of the dressed molecules, consisting of both preformed Cooper-pairs and ``bare'' Feshbach molecules, has been included within a self-consistent $T$-matrix approximation, beyond the Nozi\`{e}res and Schmitt-Rink strategy considered by Ohashi and Griffin. The resulting self-consistent equations are solved numerically to investigate the normal state properties of the crossover at various resonance widths. It is found that the superfluid transition temperature $T_c$ increases monotonically at all widths as the effective interaction between atoms becomes more attractive. Furthermore, a residue factor $Z_m$ of the molecule's Green function and a complex effective mass have been determined, to characterize the fraction and lifetime of Feshbach molecules at $T_c$. Our many-body calculations of $Z_m$ agree qualitatively well with the recent measurments on the gas of $^6$Li atoms near the broad resonance at 834 Gauss. The crossover from narrow to broad resonances has also been studied.

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22The Atomic Theory

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"The Atomic Theory" is an article from Science, Volume 18 . View more articles from Science . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1630501

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23Lucretius And The Atomic Theory

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

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24The Theory Of Atomic Collisions

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Book Source: Digital Library of India Item 2015.206192 dc.contributor.author: Mott. N.f dc.date.accessioned: 2015-07-09T14:31:45Z dc.date.available: 2015-07-09T14:31:45Z dc.date.digitalpublicationdate: 2005-01-07 dc.date.citation: 1933 dc.identifier.barcode: 1040010075316 dc.identifier.origpath: /data_copy/upload/0075/321 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/206192 dc.description.scannerno: 2 dc.description.scanningcentre: IISc, Bangalore dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 257 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Svinfo dc.publisher: Oxford At The University Press dc.rights: Out_of_copyright dc.source.library: Jrd Tata Memorial Library,indian Institute Of Science,bangalore dc.subject.classification: Natural Sciences dc.subject.classification: Physics dc.subject.classification: Physical Nature Of Matter dc.subject.keywords: The Theory Of Atomic Collisions dc.title: The Theory Of Atomic Collisions

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25The Theory Of Atomic Spectra

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Book Source: Digital Library of India Item 2015.212979 dc.contributor.author: Condon, E. U dc.contributor.author: Shortley, G.h dc.contributor.other: Na dc.date.accessioned: 2015-07-09T18:14:55Z dc.date.available: 2015-07-09T18:14:55Z dc.date.digitalpublicationdate: 2003-12-30 dc.date.citation: 1935 dc.identifier.barcode: 99999990082396 dc.identifier.origpath: /data_copy/upload/0082/401 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/212979 dc.description.scanningcentre: IIAp, Bangalore dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 459 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher: Cambridge University Press,cambridge dc.rights: Copyright Permitted dc.source.library: Indian Institute Of Astrophyics dc.subject.classification: Natural Sciences dc.subject.classification: Physics dc.subject.classification: General Mechanics. Mechanics Of Solid And Rigid Bodies dc.subject.keywords: Atomic Spectra dc.subject.keywords: Angular Momentum dc.subject.keywords: Quantum Mechanics dc.title: The Theory Of Atomic Spectra

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26Theoretical Astrophysics Atomic Theory And The Analysis Of Stellar Atmospheres And Envelopes

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Book Source: Digital Library of India Item 2015.177327 dc.date.accessioned: 2015-07-07T05:16:22Z dc.date.available: 2015-07-07T05:16:22Z dc.date.digitalpublicationdate: 0000-00-00 dc.date.citation: 1936 dc.identifier.barcode: 99999990013389 dc.identifier.origpath: /data/upload/0013/394 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/177327 dc.description.scanningcentre: IIAp, Bangalore dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 378 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Iiap dc.publisher: The Clarendon Press dc.rights: Out_of_copyright dc.source.library: Indian Institute Of Astrophysics dc.title: Theoretical Astrophysics Atomic Theory And The Analysis Of Stellar Atmospheres And Envelopes dc.rights.holder: The Clarendon Press

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27Foundations Of The Atomic Theory

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Book Source: Digital Library of India Item 2015.220880 dc.contributor.author: Dalton,john dc.date.accessioned: 2015-07-09T21:56:10Z dc.date.available: 2015-07-09T21:56:10Z dc.date.digitalpublicationdate: 2005-05-19 dc.date.citation: 1923 dc.identifier.barcode: 2990140053800 dc.identifier.origpath: /data_copy/upload/0053/805 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/220880 dc.description.scannerno: 1 dc.description.scanningcentre: Osmania University dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 56 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: Oliver And Boyd dc.rights: Not Available dc.source.library: Osmania University dc.subject.classification: Natural Sciences dc.subject.classification: Chemistry. Crystallography. Mineralogy dc.title: Foundations Of The Atomic Theory

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28The Theory Of Spectra And Atomic Constitution; Three Essays

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Book Source: Digital Library of India Item 2015.220880 dc.contributor.author: Dalton,john dc.date.accessioned: 2015-07-09T21:56:10Z dc.date.available: 2015-07-09T21:56:10Z dc.date.digitalpublicationdate: 2005-05-19 dc.date.citation: 1923 dc.identifier.barcode: 2990140053800 dc.identifier.origpath: /data_copy/upload/0053/805 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/220880 dc.description.scannerno: 1 dc.description.scanningcentre: Osmania University dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 56 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: Oliver And Boyd dc.rights: Not Available dc.source.library: Osmania University dc.subject.classification: Natural Sciences dc.subject.classification: Chemistry. Crystallography. Mineralogy dc.title: Foundations Of The Atomic Theory

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29On The Application Of The Quantum Theory To Atomic Structure. Part I. The Fundamental Postulates

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Book Source: Digital Library of India Item 2015.220880 dc.contributor.author: Dalton,john dc.date.accessioned: 2015-07-09T21:56:10Z dc.date.available: 2015-07-09T21:56:10Z dc.date.digitalpublicationdate: 2005-05-19 dc.date.citation: 1923 dc.identifier.barcode: 2990140053800 dc.identifier.origpath: /data_copy/upload/0053/805 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/220880 dc.description.scannerno: 1 dc.description.scanningcentre: Osmania University dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 56 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: Oliver And Boyd dc.rights: Not Available dc.source.library: Osmania University dc.subject.classification: Natural Sciences dc.subject.classification: Chemistry. Crystallography. Mineralogy dc.title: Foundations Of The Atomic Theory

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30An Essay On Morals : A Science Of Philosophy And Philosophy Of The Science, A Popular Explanation Of The Jungian Theory Of Human Instinct, An New Bible For The Bold Mind And A Way To Personal Peace By Logic, The Heretic's Handbook And Text For Honest Skeptics, Including A Description Of Man Suitable For An Atomic Age, Together With A Compendium Of Means To Brotherhood In A Better World, And A Voyage Beyond The Opposite Directions Of Religion And Objective Truth, To Understanding

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204 S

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31Atomic Theory And The Description Of Nature

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204 S

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32The Theory Of Spectra And Atomic Constitution Three Essays

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Book Source: Digital Library of India Item 2015.165873 dc.date.accessioned: 2015-07-07T00:06:28Z dc.date.available: 2015-07-07T00:06:28Z dc.date.digitalpublicationdate: 0000-00-00 dc.date.citation: 1922 dc.identifier.barcode: 99999990038071 dc.identifier.origpath: /data/upload/0038/076 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/165873 dc.description.scanningcentre: IGNCA, Delhi dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 142 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Iiap dc.publisher: Cambridge. Cambridge University Press dc.rights: Out_of_copyright dc.source.library: Indian Institute Of Astrophysics dc.title: The Theory Of Spectra And Atomic Constitution Three Essays dc.rights.holder: Cambridge University Press

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33The Story Of Atomic Theory And Atomic Energy (formerly Titled: The Atom Story)

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263 pages 21 cm

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34The Atomic Theory

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39 p. 23 cm

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35Foundations Of The Atomic Theory [electronic Resource] : Comprising Papers And Extracts By John Dalton, William Hyde Wollaston, M. D., And Thomas Thomson, M. D. (1802-1808)

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This material has been provided by UCL Library Services. The original may be consulted at UCL (University College London)

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36Lectures On The Atomic Theory And Essays Scientific And Literary: In 2 Vol

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37Theory Of Ionizing Neutrino-atom Collisions: The Role Of Atomic Recoil

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We consider theoretically ionization of an atom by neutrino impact taking into account electromagnetic interactions predicted for massive neutrinos by theories beyond the Standard Model. The effects of atomic recoil in this process are estimated using the one-electron and semiclassical approximations and are found to be unimportant unless the energy transfer is very close to the ionization threshold. We show that the energy scale where these effects become important is insignificant for current experiments searching for magnetic moments of reactor antineutrinos.

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38On An Application Of The New Atomic Theory To The Graphical Representation Of The Invariants And Covariants Of Binary Quantics, With Three Appendices, [Continued]

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"On an Application of the New Atomic Theory to the Graphical Representation of the Invariants and Covariants of Binary Quantics, With Three Appendices, [Continued]" is an article from American Journal of Mathematics, Volume 1 . View more articles from American Journal of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2369302

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39ATOMIC COLLISION AND NON-COLLISION; OR, THE CONSCIOUS AND THE UNCONSCIOUS STATES OF MATTER. A NEW THEORY OF CONSCIOUSNESS

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"ATOMIC COLLISION AND NON-COLLISION; OR, THE CONSCIOUS AND THE UNCONSCIOUS STATES OF MATTER. A NEW THEORY OF CONSCIOUSNESS" is an article from The Journal of Speculative Philosophy, Volume 14 . View more articles from The Journal of Speculative Philosophy . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-25667813

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40A Completed Chapter In The History Of The Atomic Theory

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"A Completed Chapter in the History of the Atomic Theory" is an article from Science, Volume 4 . View more articles from Science . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1625399

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41Chemical Attraction : An Essay In Five Chapters, I. The Laws Of Combination. II. The Electro-chemical Theory. III. The Atomic Theory Of Dr. Dalton. IV. The Theory Of Volumes Of M. Gay Lussac. V. The Agents Opposing Chemical Attraction : With An Historical Introduction, And Several Illustrative Tables

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"A Completed Chapter in the History of the Atomic Theory" is an article from Science, Volume 4 . View more articles from Science . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1625399

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42Lectures On The Atomic Theory And Essays Scientific And Literary: In 2 Vol

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43The Atomic Theory From The Chemical Standpoint

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"The Atomic Theory from the Chemical Standpoint" is an article from Science, Volume 11 . View more articles from Science . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1626571

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44Lucretius And The Atomic Theory

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93 p. 20 cm

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45An Introduction To The Atomic Theory

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93 p. 20 cm

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46Calling All Units - The Atomic Theory, The Zodiac, The Watching Of Movies

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I briefly discuss the interchange of molecules between a policeman and a cyclist before failing to distinguish between horror and thrillers. Then I settle into that familiar, beautiful space that is telling you how good Zodiac is. 

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47The Krein Matrix: General Theory And Concrete Applications In Atomic Bose-Einstein Condensates

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When finding the nonzero eigenvalues for Hamiltonian eigenvalue problems it is especially important to locate not only the unstable eigenvalues (i.e., those with positive real part), but also those which are purely imaginary but have negative Krein signature. These latter eigenvalues have the property that they can become unstable upon collision with other purely imaginary eigenvalues, i.e., they are a necessary building block in the mechanism leading to the so-called Hamiltonian-Hopf bifurcation. In this paper we review a general theory for constructing a meromorphic matrix-valued function, the so-called Krein matrix, which has the property of not only locating the unstable eigenvalues, but also those with negative Krein signature. These eigenvalues are realized as zeros of the determinant. The resulting finite dimensional problem obtained by setting the determinant of the Krein matrix to zero presents a valuable simplification. In this paper the usefulness of the technique is illustrated through prototypical examples of spectral analysis of states that have arisen in recent experimental and theoretical studies of atomic Bose-Einstein condensates. In particular, we consider one-dimensional settings (the cigar trap) possessing real-valued multi-dark-soliton solutions, and two-dimensional settings (the pancake trap) admitting complex multi-vortex stationary waveforms.

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48The Library Of Subroutines For Calculating Standard Quantities In Atomic Structure Theory

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This library (collection of subroutines) is presented for calculating standard quantities in the decomposition of many-electron matrix elements in atomic structure theory. These quantities include the coefficients of fractional parentage, the reduced coefficients of fractional parentage as well as reduced and completely reduced matrix elements for several operators. So the library is assigned for any computational scheme. The software is an implementation of a methodology based on the second quantization in coupled tensorial form, the angular momentum theory in 3 spaces (orbital, spin and quasispin), and the graphical technique of angular momentum. This implementation extends applications in atomic theory capabilities to partially filled f-- shells and has lead to faster execution of angular integration codes.

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49The Atomic Theory

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50The Atomic Theory Of Lucretius Contrasted With Modern Doctrines Of Atoms And ...

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  • Publisher: ➤  D. Appleton and company - Appleton - C.K. Paul
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  • First Year Published: 1880
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  • First Year Published: 1910
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