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xi, 398 p. 24 cm

xi, 398 p. 24 cm

Includes bibliographies

Includes bibliographies

This review paper is intended for scholars with different backgrounds, possibly in only one of the subjects covered, and therefore little background knowledge is assumed. The first part is an introduction to classical and quantum information theory (CIT, QIT): basic definitions and tools of CIT are introduced, such as the information content of a random variable, the typical set, and some principles of data compression. Some concepts and results of QIT are then introduced, such as the qubit, the pure and mixed states, the Holevo theorem, the no-cloning theorem, and the quantum complementarity. In the second part, two applications of QIT to open problems in theoretical physics are discussed. The black hole (BH) information paradox is related to the phenomenon of the Hawking radiation (HR). Consid- ering a BH starting in a pure state, after its complete evaporation only the Hawking radiation will remain, which is shown to be in a mixed state. This either describes a non-unitary evolution of an isolated system, contradicting the evolution postulate of quantum mechanics and violating the no-cloning theorem, or it implies that the initial information content can escape the BH, therefore contradicting general relativity. The progress toward the solution of the paradox is discussed. The renormalization group (RG) aims at the extraction of the macroscopic description of a physical system from its microscopic description. This passage from microscopic to macroscopic can be described in terms of several steps from one scale to another, and is therefore formalized as the action of a group. The c-theorem proves the existence, under certain conditions, of a function which is monotonically decreasing along the group transformations. This result suggests an interpretation of this function as entropy, and its use to study the information flow along the RG transformations.

These lecture notes provide a relatively self-contained introduction to field theoretic methods employed in the study of classical and quantum phase transitions.

These lecture notes provide a relatively self-contained introduction to field theoretic methods employed in the study of classical and quantum phase transitions.

Over the last few years, Slavnov has proposed a formulation of quantum Yang-Mills theory in the Coulomb gauge which preserves simultaneously manifest Lorentz invariance and gauge invariance of the ghost field Lagrangian. This paper presents in detail some of the necessary calculations, i.e. those dealing with the functional integral for the S-matrix and its invariance under shifted gauge transformations. The extension of this formalism to quantum gravity in the Prentki gauge deserves consideration.

In the paper we review some recent results of the theory of hierarchies of quantum evolution equations.

These two lectures give a pedagogical introduction to the ``string-inspired'' worldline technique for perturbative calculations in quantum field theory. This includes an overview over the present range of its applications. Several examples are calculated in detail, up to the three-loop level. The emphasis is on photon scattering in quantum electrodynamics.

These two lectures give a pedagogical introduction to the ``string-inspired'' worldline technique for perturbative calculations in quantum field theory. This includes an overview over the present range of its applications. Several examples are calculated in detail, up to the three-loop level. The emphasis is on photon scattering in quantum electrodynamics.

Book Source: Digital Library of India Item 2015.221281 dc.contributor.author: Eyring, Henry dc.contributor.author: Walter, John dc.contributor.author: Kimball, George dc.date.accessioned: 2015-07-09T22:09:26Z dc.date.available: 2015-07-09T22:09:26Z dc.date.digitalpublicationdate: 2005-05-19 dc.identifier.barcode: 2990140053836 dc.identifier.origpath: /data_copy/upload/0053/841 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/221281 dc.description.scannerno: 9 dc.description.scanningcentre: Osmania University 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: Not Available dc.rights: Not Available dc.source.library: Osmania University dc.subject.classification: Natural Sciences dc.subject.classification: Chemistry. Crystallography. Mineralogy dc.subject.classification: Physical Chemistry dc.title: Introduction To The Old Quantum Theory

Book Source: Digital Library of India Item 2015.221281 dc.contributor.author: Eyring, Henry dc.contributor.author: Walter, John dc.contributor.author: Kimball, George dc.date.accessioned: 2015-07-09T22:09:26Z dc.date.available: 2015-07-09T22:09:26Z dc.date.digitalpublicationdate: 2005-05-19 dc.identifier.barcode: 2990140053836 dc.identifier.origpath: /data_copy/upload/0053/841 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/221281 dc.description.scannerno: 9 dc.description.scanningcentre: Osmania University 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: Not Available dc.rights: Not Available dc.source.library: Osmania University dc.subject.classification: Natural Sciences dc.subject.classification: Chemistry. Crystallography. Mineralogy dc.subject.classification: Physical Chemistry dc.title: Introduction To The Old Quantum Theory

Book Source: Digital Library of India Item 2015.221281 dc.contributor.author: Eyring, Henry dc.contributor.author: Walter, John dc.contributor.author: Kimball, George dc.date.accessioned: 2015-07-09T22:09:26Z dc.date.available: 2015-07-09T22:09:26Z dc.date.digitalpublicationdate: 2005-05-19 dc.identifier.barcode: 2990140053836 dc.identifier.origpath: /data_copy/upload/0053/841 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/221281 dc.description.scannerno: 9 dc.description.scanningcentre: Osmania University 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: Not Available dc.rights: Not Available dc.source.library: Osmania University dc.subject.classification: Natural Sciences dc.subject.classification: Chemistry. Crystallography. Mineralogy dc.subject.classification: Physical Chemistry dc.title: Introduction To The Old Quantum Theory

Book Source: Digital Library of India Item 2015.221281 dc.contributor.author: Eyring, Henry dc.contributor.author: Walter, John dc.contributor.author: Kimball, George dc.date.accessioned: 2015-07-09T22:09:26Z dc.date.available: 2015-07-09T22:09:26Z dc.date.digitalpublicationdate: 2005-05-19 dc.identifier.barcode: 2990140053836 dc.identifier.origpath: /data_copy/upload/0053/841 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/221281 dc.description.scannerno: 9 dc.description.scanningcentre: Osmania University 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: Not Available dc.rights: Not Available dc.source.library: Osmania University dc.subject.classification: Natural Sciences dc.subject.classification: Chemistry. Crystallography. Mineralogy dc.subject.classification: Physical Chemistry dc.title: Introduction To The Old Quantum Theory