↓ Skip to main content

Classical and Quantum Dynamics

Overview of attention for book
Cover of 'Classical and Quantum Dynamics'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
  3. Altmetric Badge
    Chapter 2 The Action Principles in Mechanics
  4. Altmetric Badge
    Chapter 3 The Action Principle in Classical Electrodynamics
  5. Altmetric Badge
    Chapter 4 Application of the Action Principles
  6. Altmetric Badge
    Chapter 5 Jacobi Fields, Conjugate Points
  7. Altmetric Badge
    Chapter 6 Canonical Transformations
  8. Altmetric Badge
    Chapter 7 The Hamilton–Jacobi Equation
  9. Altmetric Badge
    Chapter 8 Action-Angle Variables
  10. Altmetric Badge
    Chapter 9 The Adiabatic Invariance of the Action Variables
  11. Altmetric Badge
    Chapter 10 Time-Independent Canonical Perturbation Theory
  12. Altmetric Badge
    Chapter 11 Canonical Perturbation Theory with Several Degrees of Freedom
  13. Altmetric Badge
    Chapter 12 Canonical Adiabatic Theory
  14. Altmetric Badge
    Chapter 13 Removal of Resonances
  15. Altmetric Badge
    Chapter 14 Superconvergent Perturbation Theory, KAM Theorem (Introduction)
  16. Altmetric Badge
    Chapter 15 Poincaré Surface of Sections, Mappings
  17. Altmetric Badge
    Chapter 16 The KAM Theorem
  18. Altmetric Badge
    Chapter 17 Fundamental Principles of Quantum Mechanics
  19. Altmetric Badge
    Chapter 18 Functional Derivative Approach
  20. Altmetric Badge
    Chapter 19 Examples for Calculating Path Integrals
  21. Altmetric Badge
    Chapter 20 Direct Evaluation of Path Integrals
  22. Altmetric Badge
    Chapter 21 Linear Oscillator with Time-Dependent Frequency
  23. Altmetric Badge
    Chapter 22 Propagators for Particles in an External Magnetic Field
  24. Altmetric Badge
    Chapter 23 Simple Applications of Propagator Functions
  25. Altmetric Badge
    Chapter 24 The WKB Approximation
  26. Altmetric Badge
    Chapter 25 Computing the Trace
  27. Altmetric Badge
    Chapter 26 Partition Function for the Harmonic Oscillator
  28. Altmetric Badge
    Chapter 27 Introduction to Homotopy Theory
  29. Altmetric Badge
    Chapter 28 Classical Chern–Simons Mechanics
  30. Altmetric Badge
    Chapter 29 Semiclassical Quantization
  31. Altmetric Badge
    Chapter 30 The “Maslov Anomaly” for the Harmonic Oscillator
  32. Altmetric Badge
    Chapter 31 Maslov Anomaly and the Morse Index Theorem
  33. Altmetric Badge
    Chapter 32 Berry’s Phase
  34. Altmetric Badge
    Chapter 33 Classical Analogues to Berry’s Phase
  35. Altmetric Badge
    Chapter 34 Berry Phase and Parametric Harmonic Oscillator
  36. Altmetric Badge
    Chapter 35 Topological Phases in Planar Electrodynamics
  37. Altmetric Badge
    Chapter 36 Path Integral Formulation of Quantum Electrodynamics
  38. Altmetric Badge
    Chapter 37 Particle in Harmonic E -Field E ( t ) = E sin ω 0 t ; Schwinger–Fock Proper-Time Method
  39. Altmetric Badge
    Chapter 38 Erratum to: Classical and Quantum Dynamics: From Classical Paths to Path Integrals
Attention for Chapter 20: Direct Evaluation of Path Integrals
Altmetric Badge

Citations

dimensions_citation
2 Dimensions
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Chapter title
Direct Evaluation of Path Integrals
Chapter number 20
Book title
Classical and Quantum Dynamics
Published by
Springer, Cham, January 2016
DOI 10.1007/978-3-319-21677-5_20
Book ISBNs
978-3-31-921676-8, 978-3-31-921677-5
Authors

Walter Dittrich, Martin Reuter