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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 179, Number 3, Pages 406–425
DOI: https://doi.org/10.4213/tmf8631 (Mi tmf8631) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Eigenstates of the quantum Penning–Ioffe nanotrap at resonance

M. V. Karasev, E. M. Novikova

Higher School of Economics, Moscow, Russia
Full-text PDF (511 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8631
Abstract: 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.
Keywords: nanotrap, resonance, quantum averaging, symmetry algebra, irreducible representation, reproducing measure.
Received: 17.12.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 179, Issue 3, Pages 729–746
DOI: https://doi.org/10.1007/s11232-014-0174-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Karasev, E. M. Novikova, “Eigenstates of the quantum Penning–Ioffe nanotrap at resonance”, TMF, 179:3 (2014), 406–425; Theoret. and Math. Phys., 179:3 (2014), 729–746
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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