Techniques and applications of path integration
著者
書誌事項
Techniques and applications of path integration
Wiley, c1981
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注記
"A Wiley-Interscience publication."
Includes bibliographical references and indexes
内容説明・目次
内容説明
Emphasizes the many applications that have been found for path integrals in quantum mechanics, statistical physics, field theory, and optics. Covers both the Feynman integral of quantum mechanics and the Wiener integral of probability theory. Initial experience is gained with solvable integrals and some of the formal and general properties developes.
目次
- 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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