The Pauli equation with complex boundary conditions

D. Kochan; D. Krejčiík; R. Novák; P. Siegl

doi:10.1088/1751-8113/45/44/444019

The Pauli equation with complex boundary conditions

D. Kochan^*, D. Krejčiík, R. Novák, P. Siegl

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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. Special attention is paid to PT -symmetric boundary conditions with the physical choice of the timereversal operator T .

Original language	English
Article number	444019
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	44
DOIs	https://doi.org/10.1088/1751-8113/45/44/444019
Publication status	Published - 09 Nov 2012
Externally published	Yes

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Statistical and Nonlinear Physics
Modelling and Simulation
Statistics and Probability

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title = "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. Special attention is paid to PT -symmetric boundary conditions with the physical choice of the timereversal operator T .",

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T1 - The Pauli equation with complex boundary conditions

AU - Kochan, D.

AU - Krejčiík, D.

AU - Novák, R.

AU - Siegl, P.

PY - 2012/11/9

Y1 - 2012/11/9

N2 - 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. Special attention is paid to PT -symmetric boundary conditions with the physical choice of the timereversal operator T .

AB - 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. Special attention is paid to PT -symmetric boundary conditions with the physical choice of the timereversal operator T .

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U2 - 10.1088/1751-8113/45/44/444019

DO - 10.1088/1751-8113/45/44/444019

M3 - Article

AN - SCOPUS:84867963789

SN - 1751-8113

VL - 45

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 44

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The Pauli equation with complex boundary conditions

Abstract

ASJC Scopus subject areas

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