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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 109, Number 1, Pages 124–127
DOI: https://doi.org/10.4213/tmf1216 (Mi tmf1216) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Anomalies in non-relativistic quantum mechanics

D. A. Kirzhnitsa, G. V. Shpatakovskayab

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (155 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf1216
Abstract: The violation of some formal relations (anomalies) for the system of non-relativistic fermi-particles is shown to appear when a singularity of the potential is rather strong. For different singularity types (in part for Coulomb potential) the anomalies associated with the system energy and total number of particles are calculated. These anomalies may be useful in the semiclassical description of electron-nuclear systems.
Received: 03.04.1996
English version:
Theoretical and Mathematical Physics, 1996, Volume 109, Issue 1, Pages 1342–1344
DOI: https://doi.org/10.1007/BF02069893
Bibliographic databases:
Language: Russian
Citation: D. A. Kirzhnits, G. V. Shpatakovskaya, “Anomalies in non-relativistic quantum mechanics”, TMF, 109:1 (1996), 124–127; Theoret. and Math. Phys., 109:1 (1996), 1342–1344
Citation in format AMSBIB
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\by D.~A.~Kirzhnits, G.~V.~Shpatakovskaya
\paper Anomalies in non-relativistic quantum mechanics
\jour TMF
\yr 1996
\vol 109
\issue 1
\pages 124--127
\mathnet{http://mi.mathnet.ru/tmf1216}
\crossref{https://doi.org/10.4213/tmf1216}
\zmath{https://zbmath.org/?q=an:1024.81516}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 109
\issue 1
\pages 1342--1344
\crossref{https://doi.org/10.1007/BF02069893}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996XH02300011}
Linking options:
  • https://www.mathnet.ru/eng/tmf1216
  • https://doi.org/10.4213/tmf1216
  • https://www.mathnet.ru/eng/tmf/v109/i1/p124
    • This publication is cited in the following 2 articles:
    1. Morawetz K., “Exploring Anomalies By Many-Body Correlations”, Phys. Status Solidi B-Basic Solid State Phys., 259:1 (2022), 2100316, 2100316  crossref  isi
    2. G. V. Shpatakovskaya, “Semiclassical model of the structure of matter”, Phys. Usp., 55:5 (2012), 429–464  mathnet  crossref  crossref  adsnasa  isi  elib  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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