Hermitian quasi-exactly solvable matrix Shroedinger operators
Spichak, Stanislav ; Zhdanov, Renat
arXiv, 9812001 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-12-01
Classification:  Mathematical Physics,  High Energy Physics - Phenomenology,  Mathematics - Analysis of PDEs,  Quantum Physics 
@article{9812001,
     author = {Spichak, Stanislav and Zhdanov, Renat},
     title = {Hermitian quasi-exactly solvable matrix Shroedinger operators},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812001}
}

Spichak, Stanislav; Zhdanov, Renat. Hermitian quasi-exactly solvable matrix Shroedinger operators. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812001/