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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 108, Number 1, Pages 36–49
DOI: https://doi.org/10.4213/tmf1175 (Mi tmf1175) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On properties of discrete and continuous spectra of Dirac radial equation

L. A. Sakhnovich

Ukranian State Academy of Telecommunication named after O. S. Popov
Full-text PDF (255 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf1175
Abstract: For characterizing the spectrum of Dirac radial equation we introduce the notion of the quantum defect δk, which generalizes the corresponding notion for Schrödinger radial equation. The existence of δk is proved and the formulas for calculating δk are received for a broad class of the potentials.
Received: 10.05.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 108, Issue 1, Pages 876–888
DOI: https://doi.org/10.1007/BF02070514
Bibliographic databases:
Language: Russian
Citation: L. A. Sakhnovich, “On properties of discrete and continuous spectra of Dirac radial equation”, TMF, 108:1 (1996), 36–49; Theoret. and Math. Phys., 108:1 (1996), 876–888
Citation in format AMSBIB
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\by L.~A.~Sakhnovich
\paper On properties of discrete and continuous spectra of Dirac radial equation
\jour TMF
\yr 1996
\vol 108
\issue 1
\pages 36--49
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\zmath{https://zbmath.org/?q=an:0940.34067}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 108
\issue 1
\pages 876--888
\crossref{https://doi.org/10.1007/BF02070514}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WZ85900003}
Linking options:
  • https://www.mathnet.ru/eng/tmf1175
  • https://doi.org/10.4213/tmf1175
  • https://www.mathnet.ru/eng/tmf/v108/i1/p36
    • This publication is cited in the following 7 articles:
    1. Kh. K. Ishkin, “O koeffitsientakh Releya–Shredingera dlya sobstvennykh znachenii regulyarnykh vozmuschenii angarmonicheskogo ostsillyatora”, TMF, 223:1 (2025), 143–158  mathnet  crossref
    2. Sakhnovich L., “The Generalized Stationary Scattering Problems”, Complex Anal. Oper. Theory, 12:3 (2018), 607–613  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    3. Sakhnovich L., “The Generalized Scattering Problems: Ergodic Type Theorems”, Complex Anal. Oper. Theory, 12:3 (2018), 767–776  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    4. St. Petersburg Math. J., 22:5 (2011), 835–846  mathnet  crossref  mathscinet  zmath  isi
    5. Sarkar, P, “Momentum densities and Compton profiles of alkali-metal atoms”, Pramana-Journal of Physics, 60:3 (2003), 483  crossref  adsnasa  isi  scopus  scopus  scopus
    6. Kh. K. Ishkin, Kh. Kh. Murtazin, “Quantum defect for the Dirac operator with a nonanalytic potential”, Theoret. and Math. Phys., 125:3 (2000), 1678–1686  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. Chaudhuri, P, “Momentum-space non-hydrogenic wavefunction of quantum defect theory”, Journal of Physics B-Atomic Molecular and Optical Physics, 32:1 (1999), 95  crossref  zmath  adsnasa  isi  scopus  scopus  scopus
    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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