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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: de Gosson, Maurice A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Fundamental Theories of Physics, 182
Temas:
Quantum physics.
Operator theory.
Mathematical physics.
Physics-Philosophy.
Quantum Physics.
Operator Theory.
Mathematical Physics.
Philosophical Foundations of Physics and Astronomy.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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