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Chaichian M., Demichev A. Path Integrals in Physics. Vol I

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Chaichian M., Demichev A. Path Integrals in Physics. Vol I
Institute of Physics Publishing, Bristol and Philadelphia, 2001, pp 336.
Preface Introduction
Notational conventions
Path integrals in classical theory
Brownian motion: introduction to the concept of path integration
Wiener path integrals and stochastic processes
Path integrals in quantum mechanics
Feynman path integrals
Path integrals in the Hamiltonian formalism
Quantization, the operator ordering problem and path integrals
Path integrals and quantization in spaces with topological constraints
Path integrals in curved spaces, spacetime transformations and the Coulomb problem
Path integrals over anticommuting variables for fermions and generalizations
Appendices
General pattern of different ways of construction and applications of path integrals B: Proof of the inequality used for the study of the spectra of Hamiltonians 326
Proof of lemma 2.1 used to derive the Bohr–Sommerfeld quantization condition
Tauberian theorem
Bibliography
Index
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