Geodesic
Eigenstates of the~quantum Penning--Ioffe nanotrap at resonance
Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 3, pp. 406-425

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We discuss the choice of physical parameters of a quantum Penning nanotrap under the action of a perturbing inhomogeneous Ioffe magnetic field and also the role of frequency resonance modes. We present a general scheme for constructing the asymptotic behavior of the eigenstates by the generalized geometric quantization method and obtain the reproducing measure in the integral representation of eigenfunctions.
Mots-clés : nanotrap
Keywords: resonance, quantum averaging, symmetry algebra, irreducible representation, reproducing measure. 
@article{TMF_2014_179_3_a7,
     author = {M. V. Karasev and E. M. Novikova},
     title = {Eigenstates of the~quantum {Penning--Ioffe} nanotrap at resonance},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {406--425},
     publisher = {mathdoc},
     volume = {179},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_179_3_a7/}
}
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M. V. Karasev; E. M. Novikova. Eigenstates of the~quantum Penning--Ioffe nanotrap at resonance. Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 3, pp. 406-425. http://geodesic.mathdoc.fr/item/TMF_2014_179_3_a7/