Hermitian quasi-exactly solvable matrix Shroedinger operators

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dc.creatorSpichak, Stanislav
dc.creatorZhdanov, Renat
dc.date1998-12-01
dc.date.accessioned2026-07-07T04:32:37Z
dc.date.available2026-07-07T04:32:37Z
dc.descriptionWe construct six multi-parameter families of Hermitian quasi-exactly solvable matrix Schroedinger operators in one variable. The method for finding these operators relies heavily upon a special representation of the Lie algebra o(2,2) whose representation space contains an invariant finite-dimensional subspace. Besides that we give several examples of quasi-exactly solvable matrix models that have square-integrable eigenfunctions. These examples are in direct analogy with the quasi-exactly solvable scalar Schroedinger operators obtained by Turbiner and Ushveridze.
dc.descriptionLatex, 19 pages
dc.identifierhttps://arxiv.org/abs/math-ph/9812001
dc.identifierhttp://arxiv.org/abs/math-ph/9812001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58253
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectAnalysis of PDEs
dc.subjectQuantum Physics
dc.titleHermitian quasi-exactly solvable matrix Shroedinger operators
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