The Pauli equation with complex boundary conditions
D. Kochan, D. Krejcirik, R. Novak, P. Siegl
TL;DR
This paper investigates how complex boundary conditions affect the spectrum of one-dimensional Pauli Hamiltonians, emphasizing PT-symmetric cases and the role of spin-magnetic interactions in non-self-adjoint settings.
Contribution
It introduces analysis of non-self-adjoint Robin-type boundary conditions in Pauli Hamiltonians, highlighting the impact of PT-symmetry and spin-magnetic interactions on spectral properties.
Findings
Spectral properties depend on boundary condition type.
PT-symmetric boundary conditions can lead to real spectra.
Spin-magnetic interactions influence boundary condition effects.
Abstract
We consider one-dimensional Pauli Hamiltonians in a bounded interval with possibly non-self-adjoint Robin-type boundary conditions. We study the influence of the spin-magnetic interaction on the interplay between the type of boundary conditions and the spectrum. A special attention is paid to PT-symmetric boundary conditions with the physical choice of the time-reversal operator T.
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