Classical and quantum dynamics : from classical paths to path integrals /: from classical paths to path integrals. (2017)

• Record Type: Book
• Further Information: Note: Walter Dittrich, Martin Reuter.
• Authors: Dittrich, Walter; Reuter, Martin, 1958-
• Contents: 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 -- Appendix -- Solutions -- Index.
• Edition: Fifth edition
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (xvi, 489 pages), illustrations
• Subjects: 530.12; Physics; Quantum theory; Mathematical physics; Field theory (Physics); Nuclear physics; Field theory (Physics); Mathematical physics; Nuclear physics; Physics; Quantum theory; Physics; Quantum Physics; Classical and Continuum Physics; Mathematical Applications in the Physical Sciences; Particle and Nuclear Physics; Science -- Mechanics -- General; Mathematics -- Applied; Science -- Nuclear Physics; Classical mechanics; Mathematical modelling; Particle & high-energy physics; Science -- Quantum Theory; Quantum physics (quantum mechanics & quantum field theory); Electronic books; Electronic book
• Languages: English
• ISBNs: 9783319582986; 3319582984
• Related ISBNs: 9783319582979; 3319582976
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed May 23, 2017).
• 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.