Path integral treatment for the one-dimensional Natanzon potentials
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Publication:4201698
DOI10.1063/1.530207zbMath0773.35056OpenAlexW2073589285MaRDI QIDQ4201698
A. Lecheheb, L. Chetouani, T. F. Hammann, L. Guechi
Publication date: 6 September 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530207
Scattering theory for PDEs (35P25) Path integrals in quantum mechanics (81S40) PDEs in connection with quantum mechanics (35Q40) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)
Related Items (3)
On solvable potentials related to SO(2,2). II. Natanzon potentials ⋮ Algebraic solution for the Natanzon hypergeometric potentials ⋮ Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl-Teller-Ginocchio potential wave functions
Cites Work
- A class of exactly solvable potentials. I: One-dimensional Schrödinger equation
- General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
- The potential group approach and hypergeometric differential equations
- On the Vibrations of Polyatomic Molecules
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