Description

Book Synopsis
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.

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;

Path Integrals For Pedestrians

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    A Paperback / softback by Ennio Gozzi, Enrico Cattaruzza, Carlo Pagani

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 13 January 2016
      ISBN-13 9789814603935
      978-9814603935
      ISBN-10 9814603937

      Description

      Book Synopsis
      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.

      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;

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