Solution of a Hamiltonian of quantum dots with Rashba spin-orbit coupling: quasi-exact solution

Details Solution of a Hamiltonian of quantum dots with Rashba spin-orbit coupling: quasi-exact solution Solution of a Hamiltonian of quantum dots with Rashba spin-orbit coupling: quasi-exact solution

2004-11-17

arxiv.org/abs/quant-ph/0411124v1

J. Phys. A: Math. Gen.37 2004 11431-11438

Physics

Quantum Physics

Scientific paper

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.

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