A pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential

Details A pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential A pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential

1995-03-07

arxiv.org/abs/quant-ph/9503006v1

J.Phys. A28 (1995) 2359-2368

Physics

Quantum Physics

8 pages, LaTeX, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/28/8/026

We consider the problem of self-adjoint extension of Hamilton operators for charged quantum particles in the pure Aharonov-Bohm potential (infinitely thin solenoid). We present a pragmatic approach to the problem based on the orthogonalization of the radial solutions for different quantum numbers. Then we discuss a model of a scalar particle with a magnetic moment which allows to explain why the self-adjoint extension contains arbitrary parameters and give a physical interpretation.

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