Quantization is geometry, after all

DOI10.1016/0003-4916(88)90092-9zbMath0648.53052OpenAlexW1972397224MaRDI QIDQ1105216

John R. Klauder

Publication date: 1988

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(88)90092-9

zbMATH Keywords

Brownian motionphase spacesymplectic structureappended Riemannian geometriespath-integral-like quantization procedure

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of global differential geometry to the sciences (53C80) Geometric quantization (53D50)

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Path integral solution of the Schrödinger equation in curvilinear coordinates: A straightforward procedure, Magneto-metric Hamiltonians on quantum surfaces in the configuration space, Supersymmetry in stochastic processes with higher-order time derivatives, Symplectic structure and the fractional quantum Hall effect, Generalized coherent states and Berry’s phase, Quantum fields in nonstatic background: A histories perspective, Wick quantization of cotangent bundles over Riemannian manifolds, SPLITTING LANDAU LEVELS ON THE 2D TORUS BY PERIODIC PERTURBATIONS, Coordinate-free quantization of second-class constraints, Topological Aspects of Quantum Hall Fluid and Berry Phase, Analytic and contour representations in the unit disk based on SU(1,1) coherent states, Wiener and Poisson process regularization for coherent-state path integrals, NONCOMMUTATIVE GEOMETRY, QUANTIZATION AND TOPOLOGICAL ASPECTS OF A FERMION, AREA PRESERVING DIFFEOMORPHISM, QUANTUM GROUP AND BERRY PHASE

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