Quasiexactly solvable spin 1/2 Schrödinger operators
Sep, 199532 pages
Published in:
- J.Math.Phys. 38 (1997) 2795-2811
e-Print:
- hep-th/9509057 [hep-th]
DOI:
Report number:
- UCM-09-95
Citations per year
Abstract:
The algebraic structures underlying quasi-exact solvability for spin 1/2 Hamiltonians in one dimension are studied in detail. Necessary and sufficient conditions for a matrix second-order differential operator preserving a space of wave functions with polynomial components to be equivalent to a \sch\ operator are found. Systematic simplifications of these conditions are analyzed, and are then applied to the construction of several new examples of multi-parameter QES spin 1/2 Hamiltonians in one dimension.References(12)
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