Behavior of a free quantum particle in the Poincaré upper half-plane geometry
DOI10.1016/J.AOP.2020.168234zbMath1448.81348arXiv2003.09988OpenAlexW3100910755MaRDI QIDQ2213383
S. Danial Forghani, Parham Dehghani, S. Habib Mazharimousavi
Publication date: 1 December 2020
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.09988
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Gravitational interaction in quantum theory (81V17) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Cites Work
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- The WKB approximation in the deformed space with the minimal length and minimal momentum
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