Infiniteness of zero modes for the Pauli operator with singular magnetic field

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dc.creatorRozenblum, Grigori
dc.creatorShirokov, Nikolai
dc.date2005-01-24
dc.date.accessioned2026-07-07T04:31:50Z
dc.date.available2026-07-07T04:31:50Z
dc.descriptionWe establish that the Pauli operator describing a spin-1/2 two-dimensional quantum system with a singular magnetic field has, under certain conditions, an infinite-dimensional space of zero modes, possibly, both spin-up and spin-down, moreover there is a spectral gap separating the zero eigenvalue from the rest of the spectrum. In particular, infiniteness takes place if the field has infinite flux, which settles this previously unknown case of Aharonov-Casher theorem.
dc.identifierhttps://arxiv.org/abs/math-ph/0501059
dc.identifierhttp://arxiv.org/abs/math-ph/0501059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57966
dc.subjectMathematical Physics
dc.subject81Q10; 47N50; 47F05;35Q40;35P15
dc.titleInfiniteness of zero modes for the Pauli operator with singular magnetic field
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