Path Integrals For Pedestrians
Published on 13. January 2016
Book
Hardback
156 pages
978-981-4603-92-8 (ISBN)
Description
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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 13 mm
Weight
387 gr
ISBN-13
978-981-4603-92-8 (9789814603928)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Content
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; The Work of Koopman and von Neumann (KvN) on the Operatorial Version of Classical Mechanics; Path Integral for Classical Mechanics (CPI) from the KvN Formalism; Cartan Calculus via the CPI; Geometric Quantization via the CPI; Non-Superposition Principle in Classical Mechanics and Degrees of Freedom; Going Beyond Classical Mechanics;