CHAICHIAN DEMICHEV PDF

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.

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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. It provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.

Path integrals in statistical physics. I Finitedimensional Gaussian integrals. II Table of some exactly solved Wiener path integrals. IV Short glossary of selected notions from the theory of Lie groups and algebras. V Some basic facts about differential Riemann geometry. VI Supersymmetry in quantum mechanics.

Quantum field theory the pathintegral approach.

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