Quantum wires with magnetic fluxes

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dc.creatorKostrykin, Vadim
dc.creatorSchrader, Robert
dc.date2002-11-30
dc.date2003-04-15
dc.date.accessioned2026-07-07T04:29:37Z
dc.date.available2026-07-07T04:29:37Z
dc.descriptionIn the present article magnetic Laplacians on a graph are analyzed. We provide a complete description of the set of all operators which can be obtained from a given self-adjoint Laplacian by perturbing it by magnetic fields. In particular, it is shown that generically this set is isomorphic to a torus. We also describe the conditions under which the operator is unambiguously (up to unitary equivalence) defined by prescribing the magnetic fluxes through all loops of the graph.
dc.identifierhttps://arxiv.org/abs/math-ph/0212001
dc.identifierhttp://arxiv.org/abs/math-ph/0212001
dc.identifierComm. Math. Phys. 237 (2003), 161 - 179
dc.identifierdoi:10.1007/s00220-003-0831-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57223
dc.subjectMathematical Physics
dc.subject34B45; 34L40; 35J10
dc.titleQuantum wires with magnetic fluxes
dc.typetext

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