Singular spin-flip interactions for the 1D Schrödinger operator
We consider singular self-adjoint extensions for one-dimensional Schr\"{o}dinger operator for two-component wave function within the framework of the distribution theory for discontinuous test functions \cite{funcan_deltadistr_kurasov_jmathan1996}. We show that among $\mathds{C}^{4}$-parameter set of boundary conditions with state mixing there is only $\mathds{R}^2$-parameter subset compatible with the spin interpretation of the two-component structure of the wave function. For the spin nterpretation of such wave function they can be identified as the point-like spin-momentum (Rashba) interactions. We suggest their physical realizations based on the regularized form of the Hamiltonian which couples the electrical field inhomogeneity to spin.
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Vladimir Kulinskii (add twitter)
Dmitry Panchenko (edit)
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07/16/19 06:03PM
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MathPHYPapers: Singular spin-flip interactions for the 1D Schr\"{o}dinger operator. https://t.co/O6J7JH4eZX
mathMPb: Vladimir Kulinskii, Dmitry Panchenko : Singular spin-flip interactions for the 1D Schrödinger operator https://t.co/BQnCgqB6KL https://t.co/MqAu7E9v3o
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