Speaker
Dmitry Panchenko
(Odessa I.I.Mechnikov National University)
Description
We consider boundary conditions (self-adjoint extensions) corresponding to point-like interactions for one-dimensional Dirac operator. Taking the non-relativistic limit we show how all possible point-like interactions for one-dimensional Schrödinger operator of free spinless particle can be obtained from the Dirac Hamiltonian. In case of spin-1/2 we show that there are boundary conditions with spin-flop mechanism. We suggest the physical interpretation these point-like extensions in terms of the Rashba (spin-orbital) coupling.
Primary author
Dmitry Panchenko
(Odessa I.I.Mechnikov National University)