Separable quantizations of Stäckel systems

DOI10.1016/j.aop.2016.06.007zbMath1380.81172arXiv1501.00576OpenAlexW3102567511MaRDI QIDQ1698126

Krzysztof Marciniak, Maciej Błaszak, Ziemowit Domański

Publication date: 21 February 2018

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

Full work available at URL: https://arxiv.org/abs/1501.00576

zbMATH Keywords

Hamilton-Jacobi equationseparabilitySchrödinger equationquantizationHamiltonian systempre-Robertson condition

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (4)

Systematic construction of non‐autonomous Hamiltonian equations of Painlevé‐type. III. Quantization ⋮ Modified Laplace-Beltrami quantization of natural Hamiltonian systems with quadratic constants of motion ⋮ The geometry of real reducible polarizations in quantum mechanics ⋮ Classical and quantum superintegrability of Stäckel systems

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• Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. I. The completeness and Robertson conditions
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• Point Transformations in Quantum Mechanics

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