Bound states of a spin-1/2 charged particle in a magnetic flux tube

Details Bound states of a spin-1/2 charged particle in a magnetic flux tube Bound states of a spin-1/2 charged particle in a magnetic flux tube

1998-05-09

arxiv.org/abs/quant-ph/9805026v2

J.Phys.A31:7061-7063,1998

Physics

Quantum Physics

4 pages, REVTEX. Final version, to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/31/34/009

We study a spin-1/2 charged particle with gyromagnetic factor g>2 moving in a plane threaded by a magnetic flux tube. We prove that, if the magnetic field (i) has radial symmetry, (ii) has compact support and (iii) does not change sign, there is at least one bound state for each angular momentum l in the interval [0,v], where v (assumed positive) is the total magnetic flux in units of the quantum of flux.

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