Quasi exactly solvable operators and Lie superalgebras

DOI10.1016/S0375-9601(02)01636-5zbMath1006.81018arXivquant-ph/0211018MaRDI QIDQ1854572

Betti Hartmann, Yves Brihaye

Publication date: 14 January 2003

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0211018

zbMATH Keywords

Hamiltoniandirect polynomial-ring sum preservationosp\((2,2)\) algebra representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

Extending the class of solvable potentials. I. The infinite potential well with a sinusoidal bottom

Cites Work

• The hidden symmetry algebras of a class of quasi-exactly solvable multidimensional operators
• Quasi-exactly-solvable problems and sl(2) algebra
• Realizations of the Lie superalgebraq(2) and applications
• QUASI-EXACTLY SOLVABLE N×N-MATRIX SCHRÖDINGER OPERATORS
• Quasiexactly solvable 2×2 matrix equations
• Linear operators with invariant polynomial space and graded algebra

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