Quantum wires with magnetic fluxes

Details Quantum wires with magnetic fluxes Quantum wires with magnetic fluxes

2002-11-30

arxiv.org/abs/math-ph/0212001v2

Comm. Math. Phys. 237 (2003), 161 - 179

Physics

Mathematical Physics

Scientific paper

10.1007/s00220-003-0831-7

In 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.

Affiliated with

Also associated with

No associations

Rating

Quantum wires with magnetic fluxes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum wires with magnetic fluxes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum wires with magnetic fluxes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-491007