Algebraic solution for the Natanzon hypergeometric potentials
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Publication:4317949
DOI10.1063/1.530468zbMath0881.33021OpenAlexW2006371019MaRDI QIDQ4317949
Sebastián Salamó, Patricio Cordero
Publication date: 25 January 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530468
(2)-body potential quantum scattering theory (81U05) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (3)
On solvable potentials related to SO(2,2). II. Natanzon potentials ⋮ Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl-Teller-Ginocchio potential wave functions ⋮ Analysis of the spectrum generating algebra method for obtaining energy spectra
Cites Work
- General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
- Group theory approach to scattering. IV: Solvable potentials associated with \(\mathrm{SO}(2,2)\)
- Single-variable realisation of the SU(1,1) spectrum generating algebra and discrete eigenvalue spectra of a class of potentials
- The potential group approach and hypergeometric differential equations
- Dynamical potential algebras for Gendenshtein and Morse potentials
- Path integral treatment for the one-dimensional Natanzon potentials
- On non-compact groups. II. Representations of the 2+1 Lorentz group
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