The Pauli equation with complex boundary conditions

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.

16 pages, 4 figures

References in corpus (7)

• Making Sense of Non-Hermitian Hamiltonians
• Invisibility in PT-symmetric complex crystals
• Time-dependent version of cryptohermitian quantum theory
• Closed formula for the metric in the Hilbert space of a PT-symmetric model
• Quantum noise and mode nonorthogonality in nonhermitian PT-symmetric optical resonators
• PT-symmetric waveguides
• Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration

Cited by in corpus (6)

• Mathematical and physical aspects of complex symmetric operators
• Non-self-adjoint graphs
• Dunkl-Pauli Equation in the Presence of a Magnetic Field
• Pseudo Hermitian Generalized Dirac Oscillators
• Hidden symmetries in non-self-adjoint graphs
• Isomorphic Hilbert spaces associated with different Complex Contours of the $\mathcal{P}\mathcal{T}$-Symmetric $(-x^4)$ Theory