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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 3, Pages 463–480
DOI: https://doi.org/10.4213/tmf651 (Mi tmf651) 		 
This article is cited in 6 scientific papers (total in 6 papers)

An integral semiclassical method for calculating the spectra for centrally symmetric potentials

A. A. Lobashev, N. N. Trunov

D. I. Mendeleev Institute for Metrology
Full-text PDF (262 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf651
Abstract: We develop a new approach to semiclassical quantization conditions that does not involve asymptotic expansions and is based on exact general properties of wave equations and their spectra. For centrally symmetric potentials, the quantization conditions depend only on a collection of integrals involving powers of the classical momentum. The energy levels calculated using these conditions are in good agreement with numerical data.
Received: 17.01.2000
Revised: 09.03.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 3, Pages 1250–1264
DOI: https://doi.org/10.1007/BF02551002
Bibliographic databases:
Language: Russian
Citation: A. A. Lobashev, N. N. Trunov, “An integral semiclassical method for calculating the spectra for centrally symmetric potentials”, TMF, 124:3 (2000), 463–480; Theoret. and Math. Phys., 124:3 (2000), 1250–1264
Citation in format AMSBIB
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\pages 463--480
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\jour Theoret. and Math. Phys.
\yr 2000
\vol 124
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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