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.If we treated (2.2.169) as the Ito integral (1.2.299), we would obtain an extra integral term (similar to that in (1.2.299)) and, ... Thus, if Am(x) were arbitrary functions, we would not know which operator to put in correspondence with the classical product pA(x): for example, pA, Ap or ... In section 2.3, we shall discuss the general operator ordering problem and its influence on the construction of path integrals.
|Title||:||Path Integrals in Physics|
|Author||:||M Chaichian, A Demichev|
|Publisher||:||CRC Press - 2001-07-01|