Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2020, Volume 107, Issue 5, Pages 734–751
DOI: https://doi.org/10.4213/mzm12394 (Mi mzm12394) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotics of the Spectrum of the Hydrogen Atom in Orthogonal Electric and Magnetic Fields near the Lower Boundaries of Spectral Clusters

A. S. Migaevaa, A. V. Pereskokovba

a National Research University "Moscow Power Engineering Institute"
b National Research University "Higher School of Economics", Moscow
Full-text PDF (679 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm12394
Abstract: The Zeeman–Stark effect for the hydrogen atom in an electromagnetic field is considered by using irreducible representations of an algebra with Karasev–Novikova quadratic commutation relations. The asymptotics of the series of eigenvalues and asymptotic eigenfunctions are obtained near the lower boundaries of the resonance spectral clusters, which are formed near the energy levels of the unperturbed hydrogen atom.
Keywords: spectral cluster, quantum averaging method, WKB-approximation, coherent transformation.
Funding agency Grant number
Russian Science Foundation 19-11-00033
The work of A. V. Pereskokov was supported by the Russian Science Foundation under grant 19-11-00033.
Received: 28.03.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 5, Pages 804–819
DOI: https://doi.org/10.1134/S0001434620050089
Bibliographic databases:
Document Type: Article
UDC: 517.984+517.958
Language: Russian
Citation: A. S. Migaeva, A. V. Pereskokov, “Asymptotics of the Spectrum of the Hydrogen Atom in Orthogonal Electric and Magnetic Fields near the Lower Boundaries of Spectral Clusters”, Mat. Zametki, 107:5 (2020), 734–751; Math. Notes, 107:5 (2020), 804–819
Citation in format AMSBIB
\Bibitem{MigPer20}
\by A.~S.~Migaeva, A.~V.~Pereskokov
\paper Asymptotics of the Spectrum of the Hydrogen Atom in Orthogonal Electric and Magnetic Fields near the Lower Boundaries of Spectral Clusters
\jour Mat. Zametki
\yr 2020
\vol 107
\issue 5
\pages 734--751
\mathnet{http://mi.mathnet.ru/mzm12394}
\crossref{https://doi.org/10.4213/mzm12394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4092569}
\elib{https://elibrary.ru/item.asp?id=43303032}
\transl
\jour Math. Notes
\yr 2020
\vol 107
\issue 5
\pages 804--819
\crossref{https://doi.org/10.1134/S0001434620050089}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000542631800008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85087088626}
Linking options:
  • https://www.mathnet.ru/eng/mzm12394
  • https://doi.org/10.4213/mzm12394
  • https://www.mathnet.ru/eng/mzm/v107/i5/p734
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:320
    Full-text PDF :45
    References:59
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024