Quasi exactly solvable matrix Schroedinger operators

Details Quasi exactly solvable matrix Schroedinger operators Quasi exactly solvable matrix Schroedinger operators

2000-05-15

arxiv.org/abs/quant-ph/0005052v3

Mod.Phys.Lett. A15 (2000) 1647

Physics

Quantum Physics

LaTeX, 9 pp, new results added

Scientific paper

10.1142/S0217732300002073

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.

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