Path Integral Quantization and Stochastic Quantization by Michio Masujima (PDF)

Description

In this book, we discuss the path integral quantization and the stochastic quantization of classical mechanics and classical field theory. Forthe description ofthe classical theory, we have two methods, one based on the Lagrangian formalism and the other based on the Hamiltonian formal­ ism. The Hamiltonian formalism is derived from the Lagrangian·formalism. In the standard formalism ofquantum mechanics, we usually make use ofthe Hamiltonian formalism. This fact originates from the following circumstance which dates back to the birth of quantum mechanics. The first formalism ofquantum mechanics is Schrodinger’s wave mechan­ ics. In this approach, we regard the Hamilton-Jacobi equation of analytical mechanics as the Eikonal equation of “geometrical mechanics”. Based on the optical analogy, we obtain the Schrodinger equation as a result ofthe inverse of the Eikonal approximation to the Hamilton-Jacobi equation, and thus we arrive at “wave mechanics”. The second formalism ofquantum mechanics is Heisenberg’s “matrix me­ chanics”. In this approach, we arrive at the Heisenberg equation of motion from consideration of the consistency of the Ritz combination principle, the Bohr quantization condition and the Fourier analysis of a physical quantity. These two formalisms make up the Hamiltonian.formalism of quantum me­ chanics.

User’s Reviews

Editorial Reviews: From the Back Cover The book gives an overview of path integral quantization and stochastic quantization of classical mechanics and field theory. The non-Abelian gauge field, the gravitational field, and the path integral representation of quantum statistical mechanics and stochastic quantization are described.

Keywords

Free Download Path Integral Quantization and Stochastic Quantization in PDF format
Path Integral Quantization and Stochastic Quantization PDF Free Download
Download Path Integral Quantization and Stochastic Quantization 2009 PDF Free
Path Integral Quantization and Stochastic Quantization 2009 PDF Free Download
Download Path Integral Quantization and Stochastic Quantization PDF
Free Download Ebook Path Integral Quantization and Stochastic Quantization