Group theory approach to scattering. IV: Solvable potentials associated with \(\mathrm{SO}(2,2)\)
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Publication:1816260
DOI10.1016/0003-4916(89)90049-3zbMath0875.22003OpenAlexW2051403507MaRDI QIDQ1816260
Y. Alhassid, Jianshi Wu, Feza Gürsey
Publication date: 24 November 1996
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0003-4916(89)90049-3
Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (2)-body potential quantum scattering theory (81U05)
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Cites Work
- Group theory approach to scattering. II: The Euclidean connection
- A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation
- Group theory approach to scattering. III: Realistic models
- General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
- On the Vibrations of Polyatomic Molecules
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