Path Integral Methods 1st Edition by T. Kashiwa (PDF)

Description

The last two decades have seen a consistent growth in the significance of path integrals. They are useful in quantum as well as statistical mechanics, providing more intuitive and easier methods of handling equations than more commonly-known treatments. However, the method is still greeted with skepticism. Where has the operator ordering problem gone? Do polar coordinates work in PI, despite the fact that they cannot exist in the canonical operator formalism? Is it possible to obtain a quantum mechanics on the sphere by inserting a delta function into the unconstrained formula? This book addresses and solves these fundamental issues, and covers more recent topics, such as the lattice fermion problem in quantum theory and the Monte Carlo method in statistical mechanics.

User’s Reviews

Editorial Reviews: Review “This thin and very nicely typeset, using Latex, and well-presented book gives an introduction and an overview of path integral methods in physics. There are seven chapters . . . The first two introduce and define the path integral and the primary methods for getting results with it. The third chapter . . . presents the generalization to other than Cartesian coordinate systems. The reason this is important is that spin systems are defined on the sphere and it is desirable to have a path integral representation for them; also, to use spherical symmetry of some systems, it would be nice to have a path integral in polar and spherical coordinates. . . . The remaining chapters give applications of the general path integral and the perturbation and WKB method for evaluating them. . . . If you are using path integrals, this book . . . is useful . . . If you are looking for recipes to use and apply path integrals, this book can also be for you.”–International Journal of Quantum Chemistry About the Author Yoshio Ohnuki is at Nagoya Women’s University. Masio Suzuki is at University of Tokyo.

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