Classical and Quantum Dynamics : From Classical Paths to Path Integrals /: From Classical Paths to Path Integrals. (2020)

• Record Type: Book
• Further Information: Note: Walter Dittrich, Martin Reuter.
• Other Names: Dittrich, Walter; Reuter, Martin, 1958-
• Contents: Intro -- Preface to the Sixth Edition -- Preface to the First Edition -- Contents -- 1 Introduction -- 2 The Action Principles in Mechanics -- 3 The Action Principle in Classical Electrodynamics -- 4 Application of the Action Principles -- 5 Jacobi Fields, Conjugate Points -- 6 Canonical Transformations -- 7 The Hamilton-Jacobi Equation -- 8 Action-Angle Variables -- 9 The Adiabatic Invariance of the Action Variables -- 10 Time-Independent Canonical Perturbation Theory -- 11 Canonical Perturbation Theory with Several Degrees of Freedom -- 12 Canonical Adiabatic Theory 13 Removal of Resonances -- 14 Superconvergent Perturbation Theory, KAM Theorem (Introduction) -- 15 Poincaré Surface of Sections, Mappings -- 16 The KAM Theorem -- 17 Fundamental Principles of Quantum Mechanics -- 18 Functional Derivative Approach -- 19 Examples for Calculating Path Integrals -- 20 Direct Evaluation of Path Integrals -- 21 Linear Oscillator with Time-Dependent Frequency -- 22 Propagators for Particles in an External Magnetic Field -- 23 Simple Applications of Propagator Functions -- 24 The WKB Approximation -- 25 Computing the Trace 38 The Usefulness of Lie Brackets: From Classical and Quantum Mechanics to Quantum Electrodynamics -- 39 Green's Function of a Spin- eepic12 Particle in a Constant External Magnetic Field -- 40 One-Loop Effective Lagrangian in QED -- 41 On Riemann's Ideas on Space and Schwinger's Treatment of Low-Energy Pion-Nucleon Physics -- Riemann's Unit Sphere S2 -- Riemann's Unit Sphere Sn -- Derivation of Riemann's Main Formula for ds2 -- Calculation of Riemann's Curvature Tensor, Ricci Scalar, etc. -- Maximally Symmetric Metric -- Realization of Chiral Symmetry in a Curved Isospin Space
• Edition: 6th ed
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource (551 pages)
• Subjects: 530.12; Quantum theory; Physics; Mathematical physics; Field theory (Physics); Nuclear physics; Field theory (Physics); Mathematical physics; Nuclear physics; Physics; Quantum theory; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030367862
• Related ISBNs: 303036786X; 9783030367855
• Notes: Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.