Geodesic
Pauli isotonic oscillator with an~anomalous magnetic moment in the~presence of the~Aharonov--Bohm effect: Laplace transform approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 2, pp. 330-339

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A strong magnetic field significantly affects the intrinsic magnetic moment of fermions. In quantum electrodynamics, it was shown that the anomalous magnetic moment of an electron arises kinematically, while it results from a dynamical interaction with an external magnetic field for hadrons (protonm). Taking the anomalous magnetic moment of a fermion into account, we find an exact expression for the bound-state energy and the corresponding eigenfunctions of a two-dimensional nonrelativistic spin-$1/2$ harmonic oscillator with a centripetal barrier (known as the isotonic oscillator) including an Aharonov–Bohm term in the presence of a strong magnetic field. We use the Laplace transform method in the calculations. We find that the singular solution contributes to the phase of the wave function at the origin and the phase depends on the spin and magnetic flux.
Keywords: two-dimensional system, Aharonov–Bohm effect, anomalous magnetic moment, isotonic oscillator
Mots-clés : Pauli equation, Laplace transform. 
@article{TMF_2016_186_2_a10,
     author = {M. Roshanzamir-Nikou and H. Goudarzi},
     title = {Pauli isotonic oscillator with an~anomalous magnetic moment in the~presence of {the~Aharonov--Bohm} effect: {Laplace} transform approach},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {330--339},
     publisher = {mathdoc},
     volume = {186},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_186_2_a10/}
}
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M. Roshanzamir-Nikou; H. Goudarzi. Pauli isotonic oscillator with an~anomalous magnetic moment in the~presence of the~Aharonov--Bohm effect: Laplace transform approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 2, pp. 330-339. http://geodesic.mathdoc.fr/item/TMF_2016_186_2_a10/