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Techniques and Applications of Path Integration
Abstract
Partial table of contents: Probabilities and Probability Amplitudes for Paths. Correspondence Limit for the Path Integral (Heuristic). Vector Potentials and Another Proof of the Path Integral Formula. Doing the Integral: Free Particle and Quadratic Lagrangians. Brownian Motion and the Wiener Integral Kac's Proof. Perturbation Theory and Feynman Diagrams. SELECTED APPLICATIONS OF THE PATH INTEGRAL. Asymptotic Analysis. The Calculus of Variations. WKB Near Caustics. The Phase of the Semiclassical Amplitude. Scattering Theory. Geometrical Optics. The Polaron. Spin and Related Matters. Quantum Mechanics on Curved Spaces. Relativistic Propagators and Black Holes. Applications to Statistical Mechanics. Critical Droplets. Alias Instantons, and Metastability. Phase Space Path Integral. Omissions, Miscellany, and Prejudices. Indexes.
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Citations
Cited by
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
Many-body physics with ultracold gases
Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114
Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
General Theory for Quantum Statistics in Two Dimensions
Wu, Y.-S. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.2103 · Cited by 434
Harmonic analysis and propagators on homogeneous spaces
Camporesi, R. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90120-q · Cited by 257
Metadata
- Authors
- Schulman, L. S., & Dewitt-Morette, C.
- Venue
- Physics Today
- Publisher
- AIP Publishing
- Published
- 1981-08-01
- Volume
- 34
- Issue
- 8
- Pages
- 65-66
- ISSN
- 0031-9228 (ISSN-L)
- 1945-0699
- OpenAlex
- W2070351351
- Cited by
- 2,017
- References
- 0
- FWCI
- 21.22
- Type
- journal article
- Language
- en
- Open access
- closed
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