Born-Jordan Quantization

1. Introduction
Maurice A. Gosson

Part I. Born–Jordan Quantization: Physical Motivation

2. On the Quantization Problem
Maurice A. Gosson

3. Quantization of Monomials
Maurice A. Gosson

4. Basic Hamiltonian Mechanics
Maurice A. Gosson

5. Wave Mechanics and the Schrödinger Equation
Maurice A. Gosson

Part II. Mathematical Aspects of Born–Jordan Quantization

6. The Weyl Correspondence
Maurice A. Gosson

7. The Cohen Class
Maurice A. Gosson

8. Born–Jordan Quantization
Maurice A. Gosson

9. Shubin’s Pseudo-Differential Calculus
Maurice A. Gosson

10. Born–Jordan Pseudo-Differential Operators
Maurice A. Gosson

11. Weak Values and the Reconstruction Problem
Maurice A. Gosson

Part III. Some Advanced Topics

12. Metaplectic Operators
Maurice A. Gosson

13. Symplectic Covariance Properties
Maurice A. Gosson

14. Symbol Classes and Function Spaces
Maurice A. Gosson

Nyckelord: Physics, Quantum Physics, Operator Theory, Mathematical Applications in the Physical Sciences, History and Philosophical Foundations of Physics