Virtual bound states of the Pauli operator with an Aharonov–Bohm potential
Fialova M, Krejčiřík D. 2025. Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. 37(6), 2550011.
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Author
Fialova, MarieISTA;
Krejčiřík, David
Department
Abstract
A maximal realization of the two-dimensional Pauli operator, subject to Aharonov–Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the Pauli operator are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric (not necessarily self-adjoint) perturbations, are derived.
Publishing Year
Date Published
2025-07-01
Journal Title
Reviews in Mathematical Physics
Publisher
World Scientific Publishing
Acknowledgement
Thanks belong to Johannes Ageskov and Matˇej Tuˇsek for helpful discussions on some technical details. M. F. would further like to acknowledge support for research on this paper from the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 101034413 as well as support by funding from Villum Fonden through the QMATH Centreof Excellence Grant No. 10059. D. K. was supported by the EXPRO Grant No.20-17749X of the Czech Science Foundation (GACR).
Volume
37
Issue
6
Article Number
2550011
ISSN
eISSN
IST-REx-ID
Cite this
Fialova M, Krejčiřík D. Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. 2025;37(6). doi:10.1142/S0129055X25500114
Fialova, M., & Krejčiřík, D. (2025). Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X25500114
Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli Operator with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics. World Scientific Publishing, 2025. https://doi.org/10.1142/S0129055X25500114.
M. Fialova and D. Krejčiřík, “Virtual bound states of the Pauli operator with an Aharonov–Bohm potential,” Reviews in Mathematical Physics, vol. 37, no. 6. World Scientific Publishing, 2025.
Fialova M, Krejčiřík D. 2025. Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. 37(6), 2550011.
Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli Operator with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics, vol. 37, no. 6, 2550011, World Scientific Publishing, 2025, doi:10.1142/S0129055X25500114.
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