English

Quasi exactly solvable matrix Schroedinger operators

Quantum Physics 2009-11-06 v3 High Energy Physics - Theory

Abstract

Two families of quasi exactly solvable 2*2 matrix Schroedinger operators are constructed. The first one is based on a polynomial matrix potential and depends on three parameters. The second is a one-parameter generalisation of the scalar Lame equation. The relationship between these operators and QES Hamiltonians already considered in the literature is pointed out.

Keywords

Cite

@article{arxiv.quant-ph/0005052,
  title  = {Quasi exactly solvable matrix Schroedinger operators},
  author = {Y. Brihaye},
  journal= {arXiv preprint arXiv:quant-ph/0005052},
  year   = {2009}
}

Comments

LaTeX, 9 pp, new results added