  We present a method to solve the problem of Rashba spin-orbit coupling in
semiconductor quantum dots, within the context of quasi-exactly solvable
spectral problems. We show that the problem possesses a hidden osp(2,2)
superalgebra. We constructed a general matrix whose determinant provide exact
eigenvalues. Analogous mathematical structures between the Rashba and some of
the other spin-boson physical systems are notified.
