WEYL QUANTIZATION OF BOSONS

The following sections are included:

• Weyl Order: Real Representation

• Weyl Order: Complex Representation

• Groenewold-Moyal Bracket

• Generalized Weyl Formalism

• Berezin's Path Integral

• Other Ordering Schemes and Symbols: Real Representation

• Other Ordering Schemes and Symbols: Complex Representation

• Generating Functions and Their Quantum Counterparts

• Weyl Ordering and the Path Integral

• Appendix: Pseudodifferential Operators and Weyl Quantization

  • Introduction

  • Symbol calculus

  • Symbol classes

  • Elliptic pseudodifferential operators

  • Elliptic pseudodifferential operators on manifolds