New quantum solvable models on the homogeneous manifold \(SL(2,c)/GL(1,c)\) with infinite-fold degeneracy

DOI10.1016/S0375-9601(02)00292-XzbMath1067.81542OpenAlexW2068798915MaRDI QIDQ1597855

Hossein Fakhri

Publication date: 3 June 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)00292-x

zbMATH Keywords

shape invarianceLie algebra generatorsquantum solvable Hamiltonians

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

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• The embedding of parasupersymmetry and dynamical symmetry into \(\text{GL}(2,\mathbb C)\) group
• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Another bunch of superpotentials in terms of a master function
• Supersymmetry and shape invariance in differential equations of mathematical physics.
• New shape-invariant potentials in supersymmetric quantum mechanics
• The Factorization Method

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