QUANTUM STATES FROM TANGENT VECTORS

DOI10.1142/S0217732304015634zbMath1055.81041arXivquant-ph/0407159MaRDI QIDQ3156267

José M. Isidro

Publication date: 6 January 2005

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0407159

zbMATH Keywords

classical phase spacetangent vectors

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (1)

`Third' quantization of vacuum Einstein gravity and free Yang-Mills theories

Cites Work

• Equivalence principle, higher-dimensional Möbius group and the hidden antisymmetric tensor of quantum mechanics
• An introduction to Riemann surfaces, algebraic curves and moduli spaces

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