A harmonic oscillator on the Poincaré disc and hypercontractivity

DOI10.1088/0305-4470/30/14/022zbMath0924.47049OpenAlexW1994849838MaRDI QIDQ4248376

Shun Long Luo

Publication date: 4 November 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/14/022

zbMATH Keywords

hypercontractivityPoincaré discquantum mechanical harmonic oscillatorhyperbolic phase spaceultraspherical operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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