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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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  • https://www.mathnet.ru/eng/tmf8631
  • https://doi.org/10.4213/tmf8631
  • https://www.mathnet.ru/eng/tmf/v179/i3/p406
    • This publication is cited in the following 3 articles:
    1. Yu. Yaremko, M. Przybylska, A. J. Maciejewski, “Relativistic quantum mechanics of a spin-1/2 charge in a Penning trap”, Int. J. Mass Spectrom., 422 (2017), 13–26  crossref  isi
    2. M. V. Karasev, E. M. Novikova, “Planar Penning trap with combined resonance and top dynamics on quadratic algebra”, Russ. J. Math. Phys., 22:4 (2015), 463–468  crossref  mathscinet  zmath  isi  scopus
    3. M. V. Karasev, E. M. Novikova, “Inserted perturbations generating asymptotical integrability”, Math Notes, 96:5-6 (2014), 965  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:622
    Full-text PDF :216
    References:98
    First page:32
     
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