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M Chaichian , A Demichev. Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them.
It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers. Wiener path integrals. Path integrals in quantum mechanics. A 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 Ha C Proof of lemma 21 used to derive the BohrSommerfeld quantization condition.
D Tauberian theorem. Path integrals in classical theory 11 Brownian motion introduction to the concept of path integration Brownian motion of a free particle diffusio
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M Chaichian , A Demichev. The path integral approach has proved extremely useful for the understanding of the most complex problems in quantum field theory, cosmology, and condensed matter physics. The book deals with systems that have an infinite number of degrees of freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. Each chapter is self-contained and can be considered as an independent textbook.