Spectrum of Schroedinger field in a noncommutative magnetic monopole

Details Spectrum of Schroedinger field in a noncommutative magnetic monopole Spectrum of Schroedinger field in a noncommutative magnetic monopole

2001-11-28

arxiv.org/abs/hep-th/0111249v2

Nucl.Phys. B627 (2002) 565-579

Physics

High Energy Physics

High Energy Physics - Theory

16 pages; references added

Scientific paper

10.1016/S0550-3213(02)00062-7

The energy spectrum of a nonrelativistic particle on a noncommutative sphere in the presence of a magnetic monopole field is calculated. The system is treated in the field theory language, in which the one-particle sector of a charged Schroedinger field coupled to a noncommutative U(1) gauge field is identified. It is shown that the Hamiltonian is essentially the angular momentum squared of the particle, but with a nontrivial scaling factor appearing, in agreement with the first-quantized canonical treatment of the problem. Monopole quantization is recovered and identified as the quantization of a commutative Seiberg-Witten mapped monopole field.

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