On algebraic classification of quasi-exactly solvable matrix models

DOI10.1088/0305-4470/30/24/034zbMath0927.34075arXivhep-th/9708092OpenAlexW3104522786MaRDI QIDQ4255700

Renat Zhdanov

Publication date: 13 December 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9708092

zbMATH Keywords

Lie algebrasfirst-order matrix differential operatorsquasi-exactly solvable matrix Schrödinger equationsquasi-exactly solvable one-dimensional Schrödinger equations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Exactly solvable models; Bethe ansatz (82B23) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (1)

Algebraic treatments of the problems of the spin-1/2 particles in the one- and two-dimensional geometry: a systematic study

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