Path Integral Solution of the Aharonov–Bohm–Dyon System via Summing the Perturbation Expansions

Lin, De-Hone

doi:10.1006/aphy.2001.6113

Annals of Physics

2001

DOI: 10.1006/aphy.2001.6113

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Path Integral Solution of the Aharonov–Bohm–Dyon System via Summing the Perturbation Expansions

De-Hone Lin

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2002

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Semiclassical quantization for the spherically symmetric systems under an Aharonov-Bohm magnetic flux

2002

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The semiclassical quantization rule is derived for a system with a spherically symmetric potential V (r) ∼ r ν (−2 < ν < ∞) and an Aharonov-Bohm magnetic flux. Numerical results are presented and compared with known results for models with ν = −1, 0, 2, ∞. It is shown that the results provided by our method are in good agreement with previous results. One expects that the semiclassical quantization rule shown in this paper will provide a good approximation for all principle quantum number even the rule is derived in the large principal quantum number limit n ≫ 1. We also discuss the power parameter ν dependence of the energy spectra pattern in this paper.

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Semiclassical quantization for the spherically symmetric systems under an Aharonov-Bohm magnetic flux

2002

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Path Integral Solution of the Aharonov–Bohm–Dyon System via Summing the Perturbation Expansions

Cited by 1 publication

References 18 publications

Semiclassical quantization for the spherically symmetric systems under an Aharonov-Bohm magnetic flux

Semiclassical quantization for the spherically symmetric systems under an Aharonov-Bohm magnetic flux

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