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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 125, Number 3, Pages 444–452
DOI: https://doi.org/10.4213/tmf678 (Mi tmf678) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Quantum defect for the Dirac operator with a nonanalytic potential

Kh. K. Ishkin, Kh. Kh. Murtazin

Bashkir State University
Full-text PDF (219 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf678
Abstract: We evaluate the quantum defects for the continuous and discrete spectra of the radial Dirac operator with the potential V(r)=−A/r+q(r)V(r)=−A/r+q(r), where A>0A>0 and ∫∞0|q|\*(1+√r)dr<∞∫∞0|q|\*(1+√r)dr<∞.
Received: 19.06.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 125, Issue 3, Pages 1678–1686
DOI: https://doi.org/10.1023/A:1026658129858
Bibliographic databases:
Language: Russian
Citation: Kh. K. Ishkin, Kh. Kh. Murtazin, “Quantum defect for the Dirac operator with a nonanalytic potential”, TMF, 125:3 (2000), 444–452; Theoret. and Math. Phys., 125:3 (2000), 1678–1686
Citation in format AMSBIB
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\paper Quantum defect for the Dirac operator with a nonanalytic potential
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\pages 444--452
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 125
\issue 3
\pages 1678--1686
\crossref{https://doi.org/10.1023/A:1026658129858}
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  • https://www.mathnet.ru/eng/tmf678
  • https://doi.org/10.4213/tmf678
  • https://www.mathnet.ru/eng/tmf/v125/i3/p444
    • This publication is cited in the following 3 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. Kh. K. Ishkin, “On the Rayleigh–Schrödinger coefficients for the eigenvalues of regular perturbations of an anharmonic oscillator”, Theoret. and Math. Phys., 223:1 (2025), 650–664  mathnet  mathnet  crossref  crossref
    3. Kh. K. Ishkin, “On analytic properties of Weyl function of Sturm–Liouville operator with a decaying complex potential”, Ufa Math. J., 5:1 (2013), 36–55  mathnet  crossref  mathscinet  elib
    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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    References:67
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