A GAUGE THEORY OF QUANTUM MECHANICS

DOI10.1142/S0217732307022578zbMath1117.81088arXivquant-ph/0608093MaRDI QIDQ3426848

José M. Isidro, Maurice A. De Gosson

Publication date: 13 March 2007

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0608093

zbMATH Keywords

phase spacequantum mechanicsgerbes

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (1)

Phase-Space Weyl Calculus and Global Hypoellipticity of a Class of Degenerate Elliptic Partial Differential Operators

Cites Work

• Extended Weyl calculus and application to the phase-space Schrödinger equation
• On the Quantum Correction For Thermodynamic Equilibrium
• Equivalence principle, higher-dimensional Möbius group and the hidden antisymmetric tensor of quantum mechanics
• Symplectically covariant Schrödinger equation in phase space

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