RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 TMF: Year: Volume: Issue: Page: Find

 TMF, 2004, Volume 138, Number 3, Pages 480–490 (Mi tmf35)

A Class of Potentials for Which Exact Semiclassical Quantization Can Be Achieved

N. N. Trunov

D. I. Mendeleev Institute for Metrology

Abstract: We consider a class of potentials for which the exact semiclassical quantization is achieved by a certain modification of the quantization condition. A list of potentials for which the new quantization condition is exact coincides with the list of potentials for which the spectrum is determined by the factorization method. We construct a one-parameter family of quantization conditions including the supersymmetric WKB condition as a special case. The new condition allows considering the interrelations between different modifications of the leading approximation and their validity ranges and also allows developing new approximate methods for calculating spectra.

Keywords: semiclassical approximation, method for the Hamiltonian factorization, supersymmetry in quantum mechanics

DOI: https://doi.org/10.4213/tmf35

Full text: PDF file (251 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2004, 138:3, 407–417

Bibliographic databases:

Revised: 03.04.2003

Citation: N. N. Trunov, “A Class of Potentials for Which Exact Semiclassical Quantization Can Be Achieved”, TMF, 138:3 (2004), 480–490; Theoret. and Math. Phys., 138:3 (2004), 407–417

Citation in format AMSBIB
\Bibitem{Tru04} \by N.~N.~Trunov \paper A~Class of Potentials for Which Exact Semiclassical Quantization Can Be Achieved \jour TMF \yr 2004 \vol 138 \issue 3 \pages 480--490 \mathnet{http://mi.mathnet.ru/tmf35} \crossref{https://doi.org/10.4213/tmf35} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2077322} \zmath{https://zbmath.org/?q=an:1178.81085} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2004TMP...138..407T} \transl \jour Theoret. and Math. Phys. \yr 2004 \vol 138 \issue 3 \pages 407--417 \crossref{https://doi.org/10.1023/B:TAMP.0000018456.68244.21} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000220859500010}