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• W2017044184 abstract "A nonlinear model representing the quantum harmonic oscillator on the sphere and the hyperbolic plane is solved in polar coordinates (r,ϕ) by making use of a curvature-dependent formalism. The curvature κ is considered as a parameter and then the radial Schrödinger equation becomes a κ-dependent Gauss hypergeometric equation. The energy spectrum and the wave functions are exactly obtained in both the sphere S2 (κ&gt;0) and the hyperbolic plane H2 (κ&lt;0). A comparative study between the spherical and the hyperbolic quantum results is presented." @default.
• W2017044184 created "2016-06-24" @default.
• W2017044184 creator A5026547458 @default.
• W2017044184 creator A5054878888 @default.
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• W2017044184 date "2007-10-01" @default.
• W2017044184 modified "2023-10-17" @default.
• W2017044184 title "The quantum harmonic oscillator on the sphere and the hyperbolic plane: κ-dependent formalism, polar coordinates, and hypergeometric functions" @default.
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• W2017044184 doi "https://doi.org/10.1063/1.2795214" @default.
• W2017044184 hasPublicationYear "2007" @default.
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