Quantization on a two-dimensional phase space with a constant curvature tensor

2003/06/13 by M. Gadella, M. A. del Olmo, Jaromir Tosiek +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-ph #hep-th

paper · pdf · doi:10.1016/s0003-4916(03)00094-0

published as Annals Phys. 307 (2003) 272-307 · 33 pages, LaTeX, Annals of Physics (2003)

arxiv created 2003/06/13 · openalex publication_date 2003/06/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Some properties of the star product of the Weyl type (i.e. associated with the Weyl ordering) are proved. Fedosov construction of the *-product on a 2-dimensional phase spacewith a constant curvature tensor is presented. Eigenvalue equations for momentum p and position q on a 2-dimensional phase space with constant curvature tensors are solved.

Citations

• The Principles of Quantum Mechanics
• Distribution functions in physics: Fundamentals
• On the principles of elementary quantum mechanics
• Quantum mechanics as a statistical theory
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
• On the Quantum Correction For Thermodynamic Equilibrium