Quantum mechanics and geometric analysis on manifolds

DOI10.1007/BF01856874zbMath0506.58017MaRDI QIDQ1836917

Robert Hermann

Publication date: 1982

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

differential operatorclassical configuration spaceco-Riemannian metricconformal gauge symmetryhydrodynamical interpretation of quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Applications of local differential geometry to the sciences (53B50) Geometric quantization (53D50)

Related Items

Quantum mechanics as an infinite-dimensional Hamiltonian system with uncertainty structure: Part I

Cites Work

• An algebra of pseudodifferential operators and quantum mechanics in phase space
• Infeld–Hull factorization, Galois–Picard–Vessiot theory for differential operators
• Algebraic and geometric structure of linear filters and scattering systems. I
• Geometric Formula for Current-Algebra Commutation Relations
• Geodesics of singular Riemannian metrics
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