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Hand-scanner scan deskewed Transcribed to TeX from which compiled PDF also included a zip file of the TeX read aloud (more typographical than mathematical)   The Principles of Quantum Mechanics 2nd edition by Paul Adrien Maurice Dirac b19020808 d19841020 [1935] {530.12--oclc} Note: Later editions of this book are available. Quantum mechanics is presented without the bra-ket notation.

We propose six principles as the fundamental principles of quantum mechanics: principle of space and time, Galilean principle of relativity, Hamilton's principle, wave principle, probability principle, and principle of indestructibility and increatiblity of particles. We deductively develop the formalism of quantum mechanics on the basis of them: we determine the form of the Lagrangian that satisfies requirements of these principles, and obtain the Schroedinger equation from the Lagrangian. We also derive the canonical commutation relations. Then we adopt the following four guide lines. First, we do not premise the relations between dynamical variables in classical mechanics. Second, we define energy, momentum, and angular momentum as the constants of motion that are derived from homogeneity and isotropy in space and time on the basis of principle of space and time. Since energy and momentum are quantitatively defined in classical mechanics, we define them in quantum mechanics so that the corresponding conservation laws are satisfied in a coupling system of a quantum particle and a classical particle. Third, we define Planck's constant and the mass of a particle as proportionality constants between energy and frequency due to one of Einstein-de Broglie formulas and between momentum and velocity, respectively. We shall obtain the canonical commutation relations and the Schroedinger equation for a particle in an external field in the definitive form. We shall also prove that relations between dynamical variables in quantum mechanics have the same forms for those in classical mechanics.

TeX transcription of book PDF compiled from TeX and edited it to remove initial blank page for the viewer The Principles of Quantum Mechanics 1st edition by Paul Adrien Maurice Dirac b19020808 d19841020 [1930] {530.1--loc} Slight problem in the Preface corrected The file 'unnumberedtotoc.sty' is included.  It should be added to the project folder if the tex file is to compile.

Book Source: Digital Library of India Item 2015.474838 dc.contributor.author: Kemble Edwin C. dc.date.accessioned: 2015-09-23T13:44:13Z dc.date.available: 2015-09-23T13:44:13Z dc.date.copyright: 1937 dc.date.digitalpublicationdate: 2006/11/28 dc.date.citation: 1937 dc.identifier.other: Librarian, Bits-Pilani dc.identifier.barcode: 99999990147890 dc.identifier.origpath: /data1/upload/0002/987 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/474838 dc.description.scannerno: OS5000 dc.description.scanningcentre: C-DAC, Noida dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 634 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library of India dc.publisher: Mcgraw-hill Book Company Inc., New York And London dc.rights: Mcgraw-Hill Book Company Inc. dc.source.library: Central Library, Bits- Pilani dc.subject.classification: NATURAL SCIENCES dc.title: The Fundamental Principles Of Quantum Mechanics dc.type: Print - Paper dc.type: Book

The basic principles of the quantum mechanics in the K-field formalism (see author's papers) are stated in the paper. K-field formalism arises from geometric generalization of de Broglie postulate. So, the quantum theory equations (including well-known Schrodinger, Klein-Gordon and quadratic Dirac equations) are obtained as the free wave equations on a manifold metrizing force interactions of particles. In this paper, describing wave properties of particles we will restricted ourself with construction special geometric formulation of force interactions.

The basic principles of the quantum mechanics in the K-field formalism (see author's papers) are stated in the paper. K-field formalism arises from geometric generalization of de Broglie postulate. So, the quantum theory equations (including well-known Schrodinger, Klein-Gordon and quadratic Dirac equations) are obtained as the free wave equations on a manifold metrizing force interactions of particles. In this paper, describing wave properties of particles we will restricted ourself with construction special geometric formulation of force interactions.

The basic principles of the quantum mechanics in the K-field formalism (see author's papers) are stated in the paper. K-field formalism arises from geometric generalization of de Broglie postulate. So, the quantum theory equations (including well-known Schrodinger, Klein-Gordon and quadratic Dirac equations) are obtained as the free wave equations on a manifold metrizing force interactions of particles. In this paper, describing wave properties of particles we will restricted ourself with construction special geometric formulation of force interactions.

The basic principles of the quantum mechanics in the K-field formalism are stated in the paper. The basic distinction of this theory arises from that the quantum theory equations (including well-known Schrodinger, Klein-Gordon and quadratic Dirac equations) are obtained from de Broglie postulate geometric generalization. Rather, they are obtained as the free wave equations on a manifold metrizing force interactions of particles. Such view on the quantum theory basic equations allows one to use semiclassical models for the quantum system simulation. The quantization principle modifies as well. Namely, quantum system stationary conditions are such conditions, at which test particles motion is Lyapunov stable.

Transcription of the third edition to TeX Compilation of the TeX to Adobe PDF with the half-title as first page The Principles of Quantum Mechanics 3rd edition by Paul Adrien Maurice Dirac b19020808 d19841020 [1947] {530.1--loc} The original attempt left all the equations squahed up by text. In this newer version all the equations have had their space above and below restored. Note: Later editions of this work are available. The file 'unnumberedtotoc.sty' is included.  It should be added to the project folder if the tex file is to compile.

Quantum mechanics is based on a series of postulates which lead to a very good description of the microphysical realm but which have, up to now, not been derived from first principles. In the present work, we suggest such a derivation in the framework of the theory of scale relativity. After having analyzed the actual status of the various postulates, rules and principles that underlie the present axiomatic foundation of quantum mechanics (in terms of main postulates, secondary rules and derived `principles'), we attempt to provide the reader with an exhaustive view of the matter, by both gathering here results which are already available in the literature, and deriving new ones which complete the postulate list.

By considering the "kinetic-energy" term of the minimum principle for the Schr\"{o}dinger equation as a measure of information, that minimum principle is viewed as a statistical estimation procedure, analogous to the manner in which Jaynes ({\it Phys. Rev.},{\bf 106}, 620, 1957) interpreted statistical mechanics. It is shown that the entropy formula of Boltzmann and Jaynes obey a property in common with the quantum-mechanical kinetic energy, in which both quantities are interpreted as measures of correlation. It is shown that this property is shared by the key terms in the minimum principles of relativistic quantum mechanics and General Relativity. It is shown how this principle may be extended to non-Riemannian nonEuclidean spaces, which leads to novel field equations for the torsion.

By considering the "kinetic-energy" term of the minimum principle for the Schr\"{o}dinger equation as a measure of information, that minimum principle is viewed as a statistical estimation procedure, analogous to the manner in which Jaynes ({\it Phys. Rev.},{\bf 106}, 620, 1957) interpreted statistical mechanics. It is shown that the entropy formula of Boltzmann and Jaynes obey a property in common with the quantum-mechanical kinetic energy, in which both quantities are interpreted as measures of correlation. It is shown that this property is shared by the key terms in the minimum principles of relativistic quantum mechanics and General Relativity. It is shown how this principle may be extended to non-Riemannian nonEuclidean spaces, which leads to novel field equations for the torsion.

PDF compilation of a TeX file of The Principles of Quantum Mechanics 3rd edition by Paul Adrien Maurice Dirac b19020808 d19841020 [1947] {530.1--loc} Please note: there is a revised version of this edition published in 1968. There is a suggestion that the typography - particularly the text layout in pages - should be the same as in the original volume so that the page number references in other authors' footnotes would line up with the text. Now the original page numbers are still there albethey comments inside the TeX file; this a reasonable suggestion and merits some thought. There are two additional files unnumberedtotoc.sty for compiling the TeX file and readingdirac4from4.tex which is a script for you favourite computer reading voice of the typography of the text as a check

PDF compilation of a TeX file of The Principles of Quantum Mechanics 3rd edition by Paul Adrien Maurice Dirac b19020808 d19841020 [1947] {530.1--loc} Please note: there is a revised version of this edition published in 1968. There is a suggestion that the typography - particularly the text layout in pages - should be the same as in the original volume so that the page number references in other authors' footnotes would line up with the text. Now the original page numbers are still there albethey comments inside the TeX file; this a reasonable suggestion and merits some thought. There are two additional files unnumberedtotoc.sty for compiling the TeX file and readingdirac4from4.tex which is a script for you favourite computer reading voice of the typography of the text as a check

Reduction is shown to be a possible consequence of the basic principles of quantum mechanics, involving no branching of the quantum state of the universe. The key feature of a measurement is attributed to the creation of macroscopic germs of ionized tracks, bubbles, sparks and so on, in a superposed quantum state, the main mechanism being a breaking and a restoration of ``classicality'' in nearby macroscopic objects and their small patterns. A new significance of quantum probabilities, involving no absolute randomness, is also proposed.

Reduction is shown to be a possible consequence of the basic principles of quantum mechanics, involving no branching of the quantum state of the universe. The key feature of a measurement is attributed to the creation of macroscopic germs of ionized tracks, bubbles, sparks and so on, in a superposed quantum state, the main mechanism being a breaking and a restoration of ``classicality'' in nearby macroscopic objects and their small patterns. A new significance of quantum probabilities, involving no absolute randomness, is also proposed.

The standard presentation of the principles of quantum mechanics is critically reviewed both from the experimental/operational point and with respect to the request of mathematical consistency and logical economy. A simpler and more physically motivated formulation is discussed. The existence of non commuting observables, which characterizes quantum mechanics with respect to classical mechanics, is related to operationally testable complementarity relations, rather than to uncertainty relations. The drawbacks of Dirac argument for canonical quantization are avoided by a more geometrical approach.

The standard presentation of the principles of quantum mechanics is critically reviewed both from the experimental/operational point and with respect to the request of mathematical consistency and logical economy. A simpler and more physically motivated formulation is discussed. The existence of non commuting observables, which characterizes quantum mechanics with respect to classical mechanics, is related to operationally testable complementarity relations, rather than to uncertainty relations. The drawbacks of Dirac argument for canonical quantization are avoided by a more geometrical approach.

The standard presentation of the principles of quantum mechanics is critically reviewed both from the experimental/operational point and with respect to the request of mathematical consistency and logical economy. A simpler and more physically motivated formulation is discussed. The existence of non commuting observables, which characterizes quantum mechanics with respect to classical mechanics, is related to operationally testable complementarity relations, rather than to uncertainty relations. The drawbacks of Dirac argument for canonical quantization are avoided by a more geometrical approach.

The standard presentation of the principles of quantum mechanics is critically reviewed both from the experimental/operational point and with respect to the request of mathematical consistency and logical economy. A simpler and more physically motivated formulation is discussed. The existence of non commuting observables, which characterizes quantum mechanics with respect to classical mechanics, is related to operationally testable complementarity relations, rather than to uncertainty relations. The drawbacks of Dirac argument for canonical quantization are avoided by a more geometrical approach.

The Principles of Quantum Mechanics - Dirac I have no monetary benefit from this work & it is intended strictly for non-commercial uses only