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

Hayriye Tutunculer·Ramazan Koc·Eser Olgar
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Abstract

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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Hayriye Tutunculer, Ramazan Koc, Eser Olgar. 2004-11-17. Solution of a Hamiltonian of quantum dots with Rashba spin-orbit coupling: quasi-exact solution. https://doi.org/10.1088/0305-4470/37/47/011

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