Group theory approach to scattering. IV: Solvable potentials associated with \(\mathrm{SO}(2,2)\)

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

zbMATH Keywords

scattering matricessolvable potentialspotential group SO(2,2)

Mathematics Subject Classification ID

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)

Related Items

On solvable potentials related to SO(2,2). II. Natanzon potentials, The potential group approach and hypergeometric differential equations, Symmetry scattering for SU(2,2) with applications, Algebraic solution for the Natanzon hypergeometric potentials, Coordinate Transformation and Exact Solutions of Schrödinger Equation with Position-Dependent Effective Mass, Quasinormal modes of generalized Pöschl–Teller potentials, Confluent hypergeometric equations and related solvable potentials in quantum mechanics, Path integral discussion of the improved Tietz potential, Broken supersymmetric shape invariant systems and their potential algebras, A group-theoretical method for Natanzon potentials in position-dependent mass background by means of conformal mappings, Mutual integrability, quadratic algebras, and dynamical symmetry, \(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues, New Algebraic Approach to Scattering Problems, Ladder symmetries of black holes. Implications for love numbers and no-hair theorems

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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