Techniques and Applications of Path Integration by L. S. Schulman

By L. S. Schulman

A publication of concepts and functions, this article defines the trail quintessential and illustrates its makes use of by way of instance. it's appropriate for complex undergraduates and graduate scholars in physics; its sole prerequisite is a primary path in quantum mechanics. For functions requiring really expert wisdom, the writer offers heritage material.

The first part of the e-book develops the suggestions of course integration. subject matters contain likelihood amplitudes for paths and the correspondence restrict for the trail vital; vector potentials; the Ito crucial and gauge ameliorations; unfastened particle and quadratic Lagrangians; homes of Green's capabilities and the Feynman-Kac formulation; practical derivatives and commutation family members; Brownian movement and the Wiener critical; and perturbation idea and Feynman diagrams.

The second part, facing functions, covers asymptotic research and the calculus of adaptations; the WKB approximation and close to caustics; the part of the semiclassical amplitude; scattering idea; and geometrical optics. extra themes comprise the polaron; course integrals for multiply hooked up areas; quantum mechanics on curved areas; relativistic propagators and black holes; purposes to statistical mechanics; platforms with random impurities; instantons and metastability; renormalization and scaling for serious phenomena; and the section area course crucial.

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