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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 1, Pages 119–123
DOI: https://doi.org/10.4213/tmf1032 (Mi tmf1032) 		 
Perturbation theory for particle in one-dimensional, central- or axial-symmetric fields

Yu. I. Polyakov

Sofia University St. Kliment Ohridski
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DOI: https://doi.org/10.4213/tmf1032
Abstract: Perturbation theory for which all corrections to a nonperturbed state are defined by its wave function is obtained. A new applicability condition for this theory is formulated. By considering a simple example comparison with the Rayleigh–Schrödinger perturbation theory giving an analytical expression for the corresponding series is performed.
Received: 25.03.1996
Revised: 10.01.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 1, Pages 888–891
DOI: https://doi.org/10.1007/BF02634104
Bibliographic databases:
Language: Russian
Citation: Yu. I. Polyakov, “Perturbation theory for particle in one-dimensional, central- or axial-symmetric fields”, TMF, 112:1 (1997), 119–123; Theoret. and Math. Phys., 112:1 (1997), 888–891
Citation in format AMSBIB
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\paper Perturbation theory for particle in one-dimensional, central- or axial-symmetric fields
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 112
\issue 1
\pages 888--891
\crossref{https://doi.org/10.1007/BF02634104}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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