Singular spin-flip interactions for the 1D Schr\'{o}dinger operator
| Autor: | Kulinskii, Vladimir, Panchenko, Dmitry |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 interpretation 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. |
| Databáze: | arXiv |
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