Quasiexactly solvable 2×2 matrix equations

DOI10.1063/1.530454zbMath0810.34091arXivhep-th/9307099OpenAlexW1516671944MaRDI QIDQ4314278

Yves Brihaye, Piotr Kosiński

Publication date: 7 December 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9307099

zbMATH Keywords

Lamé equationalgebraic structuresquasiexactly solvable

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General spectral theory of ordinary differential operators (34L05)

Related Items (11)

QES SYSTEMS, INVARIANT SPACES AND POLYNOMIALS RECURSIONS ⋮ Linear operators with invariant polynomial space and graded algebra ⋮ The structure of quasi-exactly solvable systems ⋮ Quasi-exactly solvable spin 1/2 Schrödinger operators ⋮ QUASI-EXACTLY SOLVABLE APPROACH TO THE JAYNES–CUMMINGS MODEL WITHOUT ROTATION WAVE APPROXIMATION ⋮ Nonlinear supersymmetry on the plane in magnetic field and quasi-exactly solvable systems ⋮ Quommutator deformations of spl(N,1) ⋮ The Lie algebraic structure of differential operators admitting invariant spaces of polynomials ⋮ New fundamental symmetries of integrable systems and partial Bethe ansatz ⋮ Algebraic treatments of the problems of the spin-1/2 particles in the one- and two-dimensional geometry: a systematic study ⋮ Quasi exactly solvable operators and Lie superalgebras

Cites Work

• Quantal problems with partial algebraization of the spectrum
• Quasi-exactly-solvable problems and sl(2) algebra
• Lame equation, sl(2) algebra and isospectral deformations
• Lie algebras and polynomials in one variable
• Quasi-exactly-solvable system and sphaleron stability

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