Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach

DOI10.1088/1751-8121/aa8e90zbMath1378.81054arXiv1710.02135OpenAlexW2760701987MaRDI QIDQ4597595

Manuel F. Rañada, José F. Cariñena, Mariano Santander

Publication date: 13 December 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02135

zbMATH Keywords

quantizationKilling vector fieldsposition-dependent massNoether momenta

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Momentum maps; symplectic reduction (53D20) Geodesic flows in symplectic geometry and contact geometry (53D25) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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