國立虎尾科技大學 |

Classical and Quantum Dynamics = From Classical Paths to Path Integrals /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Classical and Quantum Dynamics/ by Walter Dittrich, Martin Reuter.
Reminder of title:	From Classical Paths to Path Integrals /
Author:	Dittrich, Walter.
other author:	Reuter, Martin.
Description:	X, 563 p. 307 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Statistical Physics and Dynamical Systems. -
Online resource:	https://doi.org/10.1007/978-3-030-36786-2
ISBN:	9783030367862

Classical and Quantum Dynamics = From Classical Paths to Path Integrals /
Dittrich, Walter.

Classical and Quantum DynamicsFrom Classical Paths to Path Integrals /[electronic resource] :by Walter Dittrich, Martin Reuter. - 6th ed. 2020. - X, 563 p. 307 illus.online resource.

Introduction -- The Action Principles in Mechanics -- The Action Principle in Classical Electrodynamics -- Application of the Action Principles -- Jacobi Fields, Conjugate Points.-Canonical Transformations -- The Hamilton–Jacobi Equation -- Action-Angle Variables -- The Adiabatic Invariance of the Action Variables -- Time-Independent Canonical Perturbation Theory -- Canonical Perturbation Theory with Several Degrees of Freedom -- Canonical Adiabatic Theory -- Removal of Resonances -- Superconvergent Perturbation Theory, KAM Theorem -- Poincaré Surface of Sections, Mappings -- The KAM Theorem -- Fundamental Principles of Quantum Mechanics -- Functional Derivative Approach -- Examples for Calculating Path Integrals -- Direct Evaluation of Path Integrals -- Linear Oscillator with Time-Dependent Frequency -- Propagators for Particles in an External Magnetic Field -- Simple Applications of Propagator Functions -- The WKB Approximation -- Computing the trace -- Partition Function for the Harmonic Oscillator -- Introduction to Homotopy Theory -- Classical Chern–Simons Mechanics -- Semiclassical Quantization -- The “Maslov Anomaly” for the Harmonic Oscillator.-Maslov Anomaly and the Morse Index Theorem -- Berry’s Phase -- Classical Geometric Phases: Foucault and Euler -- Berry Phase and Parametric Harmonic Oscillator -- Topological Phases in Planar Electrodynamics -- Path Integral Formulation of Quantum Electrodynamics -- Particle in Harmonic E-Field E(t) = Esinw0t; Schwinger-Fock Proper-Time Method -- The Usefulness of Lie Brackets: From Classical and Quantum Mechanics to Quantum Electrodynamics -- Green’s Function of a Spin-1/2 Particle in a Constant External Magnetic Field -- One-Loop Effective Lagrangian in QED -- On Riemann’s Ideas on Space and Schwinger’s Treatment of Low-Energy Pion-Nucleon Physics -- The Non-Abelian Vector Gauge Particle p -- Riemann’s Result and Consequences for Physics and Philosophy.

Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals. The sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed. .

ISBN: 9783030367862

Standard No.: 10.1007/978-3-030-36786-2doiSubjects--Topical Terms:

1114011
Statistical Physics and Dynamical Systems.

LC Class. No.: QC173.96-174.52

Dewey Class. No.: 530.12

Classical and Quantum Dynamics = From Classical Paths to Path Integrals /
LDR:04110nam a22003975i 4500 001 1021745
003 DE-He213
005 20200705233614.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030367862 $9 978-3-030-36786-2
024 7 $a 10.1007/978-3-030-36786-2 $2 doi
035 $a 978-3-030-36786-2
050 4 $a QC173.96-174.52
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
072 7 $a PHQ $2 thema
082 0 4 $a 530.12 $2 23
100 1 $a Dittrich, Walter. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1103356
245 1 0 $a Classical and Quantum Dynamics $h [electronic resource] : $b From Classical Paths to Path Integrals / $c by Walter Dittrich, Martin Reuter.
250 $a 6th ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a X, 563 p. 307 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Introduction -- The Action Principles in Mechanics -- The Action Principle in Classical Electrodynamics -- Application of the Action Principles -- Jacobi Fields, Conjugate Points.-Canonical Transformations -- The Hamilton–Jacobi Equation -- Action-Angle Variables -- The Adiabatic Invariance of the Action Variables -- Time-Independent Canonical Perturbation Theory -- Canonical Perturbation Theory with Several Degrees of Freedom -- Canonical Adiabatic Theory -- Removal of Resonances -- Superconvergent Perturbation Theory, KAM Theorem -- Poincaré Surface of Sections, Mappings -- The KAM Theorem -- Fundamental Principles of Quantum Mechanics -- Functional Derivative Approach -- Examples for Calculating Path Integrals -- Direct Evaluation of Path Integrals -- Linear Oscillator with Time-Dependent Frequency -- Propagators for Particles in an External Magnetic Field -- Simple Applications of Propagator Functions -- The WKB Approximation -- Computing the trace -- Partition Function for the Harmonic Oscillator -- Introduction to Homotopy Theory -- Classical Chern–Simons Mechanics -- Semiclassical Quantization -- The “Maslov Anomaly” for the Harmonic Oscillator.-Maslov Anomaly and the Morse Index Theorem -- Berry’s Phase -- Classical Geometric Phases: Foucault and Euler -- Berry Phase and Parametric Harmonic Oscillator -- Topological Phases in Planar Electrodynamics -- Path Integral Formulation of Quantum Electrodynamics -- Particle in Harmonic E-Field E(t) = Esinw0t; Schwinger-Fock Proper-Time Method -- The Usefulness of Lie Brackets: From Classical and Quantum Mechanics to Quantum Electrodynamics -- Green’s Function of a Spin-1/2 Particle in a Constant External Magnetic Field -- One-Loop Effective Lagrangian in QED -- On Riemann’s Ideas on Space and Schwinger’s Treatment of Low-Energy Pion-Nucleon Physics -- The Non-Abelian Vector Gauge Particle p -- Riemann’s Result and Consequences for Physics and Philosophy.
520 $a Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals. The sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed. .
650 2 4 $a Statistical Physics and Dynamical Systems. $3 1114011
650 2 4 $a Particle and Nuclear Physics. $3 769262
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Classical and Continuum Physics. $3 1141497
650 1 4 $a Quantum Physics. $3 671960
650 0 $a Statistical physics. $3 528048
650 0 $a Nuclear physics. $3 591618
650 0 $a Mathematical physics. $3 527831
650 0 $a Continuum physics. $3 1255031
650 0 $a Quantum physics. $3 1179090
700 1 $a Reuter, Martin. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1066462
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030367855
776 0 8 $i Printed edition: $z 9783030367879
776 0 8 $i Printed edition: $z 9783030367886
856 4 0 $u https://doi.org/10.1007/978-3-030-36786-2
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)