Quantum mechanics on manifolds

DOI10.1023/A:1006173700229zbMath0930.35149OpenAlexW6374059MaRDI QIDQ1304730

Valentin V. Lychagin

Publication date: 9 February 2000

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006173700229

zbMATH Keywords

Minkowski spacequantizationconnectionsPoisson structuresYang-Mills fieldswave-particle dualityalgebra of differential operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometry and quantization, symplectic methods (81S10)

Related Items (6)

Classification of the second order linear differential operators and differential equations ⋮ Riemannian exponential and quantization ⋮ Invariants of forth order linear differential operators ⋮ Compatibility, multi-brackets and integrability of systems of PDEs ⋮ On structure of linear differential operators, acting on line bundles ⋮ On equivalence of third order linear differential operators on two-dimensional manifolds

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