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Quantum Mechanics for Mathematicians (Graduate Studies in Mathematics) (Graduate Studies in Mathematics Volume 95) by Leon A. Takhtajan is a nonfiction available to read on EtoBox.

What is Quantum Mechanics for Mathematicians (Graduate Studies in Mathematics) (Graduate Studies in Mathematics Volume 95) about?

Main subject categories: • Primary 81-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory • Mathematical physics • Mathematical foundations of quantum mechanics • Classical mechanicsThis book provides a comprehensive treatment of quantum mechanics from a mathematics perspective and is accessible to mathematicians starting with second-year graduate students. In addition to traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrödinger equation, this book gives a mathematical treatment of systems of identical particles with spin, and it introduces the reader to functional methods in quantum mechanics. This includes the Feynman path integral approach to quantum mechanics, integration in functional spaces, the relation between Feynman and Wiener integrals, Gaussian integration and regularized determinants of differential operators, fermion systems and integration over anticommuting (Grassmann) variables, supersymmetry and localization in loop spaces, and supersymmetric derivation of the Atiyah-Singer formula for the index of the Dirac operator. Prior to this book, mathematicians could

Who reads Quantum Mechanics for Mathematicians (Graduate Studies in Mathematics) (Graduate Studies in Mathematics Volume 95)?

Author

Leon A. Takhtajan

Publisher

American Mathematical Society

Published

2008

Language

EN

ISBN

9781470411626

Category

nonfiction

Subjects

Mathematics, Physics, Science

Updated

2026-03-24