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Hermitian quasi-exactly solvable matrix Shroedinger operators | | Stanislav Spichak
; Renat Zhdanov
; | | Date: |
1 Dec 1998 | | Subject: | Mathematical Physics; Analysis of PDEs | math-ph hep-ph math.AP math.MP quant-ph | | Abstract: | We 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. | | Source: | arXiv, math-ph/9812001 | | Services: | Forum | Review | PDF | Favorites | |
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