Path Integrals For Pedestrians

by Ennio Gozzi, Enrico Cattaruzza, Carlo Pagani

Overview

This book aims to provide a quick pedagogical introduction to path integrals. It contains original material that never before has appeared in a book, for example the path integrals for the Wigner functions and for Classical Mechanics. This application to Classical Mechanics connects different fields like Hamiltonian mechanics and differential geometry, so the book is suitable for students and researchers from various disciplines.

Product Details

ISBN-13:	9789814603935
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	01/13/2016
Pages:	156
Product dimensions:	6.00(w) x 9.00(h) x 0.50(d)

Table of Contents

Quantum Mechanics and Summing Up Amplitudes; Double Slit Experiment; Infinite Slits Experiments and Path-Correspondence; Dirac's 1932 Paper on Small Time Amplitudes; Time-Slicing: From Infinitesimal to Finite Time Intervals; Re-derivation of the Feynman Path Integrals via the Trotter Formula; Free-Particle Propagator; Continuous Paths but Nowhere Differentiable; Path Integrals for Quadratic Potentials; WKB in the Operatorial Language; WKB in the Path-Integral Language; Introduction to the Formalism of Wigner Functions; Marinov's Path Integral for Wigner Functions; Semiclassical Expansion of Marinov's Work; Path Integrals for Classical Mechanics Objects (Cyclists); Corresponding Operatorial Version of Classical Mechanics; The Work of Koopman and von Neuman