Born-Jordan Quantization Theory and Applications /

• Main Author: de Gosson, Maurice A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: Fundamental Theories of Physics, 182
• Subjects: Physics.; Operator theory.; Mathematical physics.; Quantum physics.; Quantum Physics.; Operator Theory.; Mathematical Applications in the Physical Sciences.; History and Philosophical Foundations of Physics.

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 consisten...

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.