Born-Jordan Quantization Theory and Applications /

This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born-Jordan scheme is used. Thus, Born-Jordan quantization provides the only physically consiste...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: de Gosson, Maurice A. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Fundamental Theories of Physics, 182
Subjects:
Quantum physics.
Operator theory.
Mathematical physics.
Physics-Philosophy.
Quantum Physics.
Operator Theory.
Mathematical Physics.
Philosophical Foundations of Physics and Astronomy.
Online Access:Texto Completo
Table of Contents:
  • Born-Jordan Quantization: Physical Motivation: On the Quantization Problem
  • Quantization of Monomials
  • Basic Hamiltonian Mechanics
  • Wave Mechanics and the Schrödinger Equation
  • Mathematical Aspects of Born-Jordan Quantization: The Weyl Correspondence
  • The Cohen Class
  • Born-Jordan Quantization
  • Shubin's Pseudo-Differential Calculus
  • Born-Jordan Pseudo-Differential Operators
  • Weak Values and the Reconstruction Problem
  • Some Advanced Topics: Metaplectic Operators
  • Symplectic Covariance Properties
  • Symbol Classes and Function Spaces.

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