X iv : h ep - t h / 98 10 04 5 v 1 7 O ct 1 99 8 TPI - MINN - 98 / 04 Quasi - Exactly Solvable Models with Spin - Orbital Interaction
نویسنده
چکیده
First examples of quasi-exactly solvable models describing spin-orbital interaction are constructed. In contrast with other examples of matrix quasi-exactly solvable models discussed in the literature up to now, our models admit infinite (but still incomplete) sets of exact (algebraic) solutions. The hamiltonians of these models are hermitian operators of the form H = −∆ +V1(r)+ (s · l)V2(r)+ (s + l) ·hV3(r) where V1(r), V2(r) and V3(r) are scalar functions, l is a vector of the angular momentum operator, s is a matrix-valued vector spin-operator and h is an external (constant) vector magnetic field.
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تاریخ انتشار 1998