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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 86, Number 3, Pages 353–366 (Mi tmf5452)  
This article is cited in 1 scientific paper (total in 1 paper)

Aharonov-Bohm problem on a square lattice

S. Ya. Zhitomirskaya, V. A. Mandel'shtam
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Abstract: An explicit expression is obtained for the Green's function of the Schrödinger operator describing the motion of an electron on a square lattice in a magnetic field with flux that pierces a single cell it is show that the nontrivial component of the Green's function, equal to the contribution from the paths that pass round the singularity, is a compact operator. The method can also be used to find the partition functions for the ensembles of paths on the lattice that are associated with the numbers of turns around the fixed point.
Received: 06.06.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 86, Issue 3, Pages 241–251
DOI: https://doi.org/10.1007/BF01028421
Bibliographic databases:
Language: Russian
Citation: S. Ya. Zhitomirskaya, V. A. Mandel'shtam, “Aharonov-Bohm problem on a square lattice”, TMF, 86:3 (1991), 353–366; Theoret. and Math. Phys., 86:3 (1991), 241–251
Citation in format AMSBIB
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\by S.~Ya.~Zhitomirskaya, V.~A.~Mandel'shtam
\paper Aharonov-Bohm problem on a~square lattice
\jour TMF
\yr 1991
\vol 86
\issue 3
\pages 353--366
\mathnet{http://mi.mathnet.ru/tmf5452}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1107937}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 3
\pages 241--251
\crossref{https://doi.org/10.1007/BF01028421}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GJ55400005}
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    • This publication is cited in the following 1 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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