Some Unusual Topics in Quantum Mechanics

This second edition of Some Unusual Topics in Quantum Mechanics builds upon the topics covered in the first, with additional chapters that delve deeper into the mathematical foundations of the subject. New topics include Hilbert spaces and unbounded operators, minimum uncertainty states, path integr...

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Bibliographic Details
Main Author: Sharan, Pankaj
Format: eBook
Language:English
Published: Cham Springer International Publishing 2023, 2023
Edition:2nd ed. 2023
Series:Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1st edition: Position operators of non-relativistic quantum mechanics
  • A bundle picture of quantum mechanics
  • A beam of particles = a plane wave?
  • Star-product formulation of quantum mechanics
  • Can there be a non-linear quantum mechanics?
  • Interaction = exchange of quanta
  • Proof of Wigner's theorem. 2nd edition new topics: A very brief history of Matrix mechanics
  • Hydrogen atom and O(4)
  • Minimum Uncertainty States
  • Time Energy Uncertainty Relations?
  • Force = curvature in Quantum Mechanics too!
  • What is an ‘essentially self-adjoint’ operator?
  • Time re-parametrization in path-integrals
  • What are rigged Hilbert spaces?
  • Relativistic configuration states, Dirac and Weyl equations