QUASI-EXACTLY SOLVABLE N×N-MATRIX SCHRÖDINGER OPERATORS

Author:

BRIHAYE YVES1,HARTMANN BETTI2

Affiliation:

1. Department of Mathematical Physics, University of Mons-Hainaut, Place du Parc, B-7000 Mons, Belgium

2. Fachbereich Physics, University of Oldenburg, D-26111 Oldenburg, Germany

Abstract

New examples of matrix quasi-exactly solvable Schrödinger operators are constructed. One of them constitutes a matrix generalization of the quasi-exactly solvable anharmonic oscillator, the corresponding invariant vector space is constructed explicitly. Matrix generalizations of the Lamé equation are also investigated.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quadratic Lie algebras and quasiexact solvability of the two-photon Rabi Hamiltonian;Journal of Mathematical Physics;2009-03

2. PT-symmetric, quasi-exactly solvable matrix Hamiltonians;Journal of Physics A: Mathematical and Theoretical;2007-10-09

3. QES SYSTEMS, INVARIANT SPACES AND POLYNOMIALS RECURSIONS;Modern Physics Letters A;2007-06-21

4. Antiperiodic solitons of the Goldstone model onS1;Nonlinearity;2004-09-10

5. Quasi-exactly Solvable (QES) Equations with Multiple Algebraisations;Czechoslovak Journal of Physics;2003-11

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