Spectrum of a family of spin–orbit coupled Hamiltonians with singular perturbation

DOI10.1088/1751-8113/49/6/065202zbMath1342.81745arXiv1512.02833OpenAlexW2190602744MaRDI QIDQ2994507

Rytis Juršėnas

Publication date: 2 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02833

zbMATH Keywords

self-adjoint extensionRashba-Dresselhaus spin-orbit couplingKrein \(Q\)-functionsingular finite rank perturbationthree-dimensional ultracold atom

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45)

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Computation of the unitary group for the Rashba spin–orbit coupled operator, with application to point-interactions ⋮ Point-like perturbation of Rashba Hamiltonian

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