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Cover: 9783540769545 | Mathematical Theory of Feynman Path Integrals | An Introduction | Buch
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Mathematical Theory of Feynman Path Integrals
An Introduction
Taschenbuch von Sergio Albeverio (u. a.)
Sprache: Englisch

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Beschreibung
Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory.

The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments since then, an entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.
Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory.

The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments since then, an entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.
Inhaltsverzeichnis
Preface to the second edition.- Preface to the first edition.- 1.Introduction.- [...] Fresnel Integral of Functions on a Separable Real Hilbert Spa.- [...] Feynman Path Integral in Potential Scattering.- [...] Fresnel Integral Relative to a Non-singular Quadratic Form.- 5.Feynman Path Integrals for the Anharmonic Oscillator.- 6.Expectations with Respect to the Ground State of the Harmonic Oscillator.- 7.Expectations with Respect to the Gibbs State of the Harmonic Oscillator.- [...] Invariant Quasi-free States.- [...] Feynman Hystory Integral for the Relativistic Quantum Boson Field.- [...] Recent Developments.- 10.[...] infinite dimensional oscillatory integral.- 10.2.Feynman path integrals for polynomially growing potentials.- 10.[...] semiclassical expansio.- 10.4.Alternative approaches to Feynman path integrals.- 10.4.1.Analytic continuation.- 10.4.[...] noise calculus.- 10.5.Recent applications.- 10.5.[...] Schroedinger equation with magnetic fields.- 10.5.[...] Schroedinger equation with time dependent potentials.- 10.5.3 .hase space Feynman path integrals.- 10.5.[...] stochastic Schroedinger equation.- 10.5.[...] Chern-Simons functional integral.- References of the first edition.- References of the second edition.- Analytic index.- List of Notations.
Details
Erscheinungsjahr: 2008
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: x
182 S.
ISBN-13: 9783540769545
ISBN-10: 3540769544
Sprache: Englisch
Herstellernummer: 11008132
Einband: Kartoniert / Broschiert
Autor: Albeverio, Sergio
Mazzucchi, Sonia
Høegh-Krohn, Rafael
Auflage: 2nd, corr. and enlarged edition 2008
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Sergio Albeverio (u. a.)
Erscheinungsdatum: 30.05.2008
Gewicht: 0,3 kg
Artikel-ID: 101880192
Inhaltsverzeichnis
Preface to the second edition.- Preface to the first edition.- 1.Introduction.- [...] Fresnel Integral of Functions on a Separable Real Hilbert Spa.- [...] Feynman Path Integral in Potential Scattering.- [...] Fresnel Integral Relative to a Non-singular Quadratic Form.- 5.Feynman Path Integrals for the Anharmonic Oscillator.- 6.Expectations with Respect to the Ground State of the Harmonic Oscillator.- 7.Expectations with Respect to the Gibbs State of the Harmonic Oscillator.- [...] Invariant Quasi-free States.- [...] Feynman Hystory Integral for the Relativistic Quantum Boson Field.- [...] Recent Developments.- 10.[...] infinite dimensional oscillatory integral.- 10.2.Feynman path integrals for polynomially growing potentials.- 10.[...] semiclassical expansio.- 10.4.Alternative approaches to Feynman path integrals.- 10.4.1.Analytic continuation.- 10.4.[...] noise calculus.- 10.5.Recent applications.- 10.5.[...] Schroedinger equation with magnetic fields.- 10.5.[...] Schroedinger equation with time dependent potentials.- 10.5.3 .hase space Feynman path integrals.- 10.5.[...] stochastic Schroedinger equation.- 10.5.[...] Chern-Simons functional integral.- References of the first edition.- References of the second edition.- Analytic index.- List of Notations.
Details
Erscheinungsjahr: 2008
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: x
182 S.
ISBN-13: 9783540769545
ISBN-10: 3540769544
Sprache: Englisch
Herstellernummer: 11008132
Einband: Kartoniert / Broschiert
Autor: Albeverio, Sergio
Mazzucchi, Sonia
Høegh-Krohn, Rafael
Auflage: 2nd, corr. and enlarged edition 2008
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Sergio Albeverio (u. a.)
Erscheinungsdatum: 30.05.2008
Gewicht: 0,3 kg
Artikel-ID: 101880192
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