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Uspekhi Fizicheskikh Nauk, 1990, Volume 160, Number 6, Pages 1–49
DOI: https://doi.org/10.3367/UFNr.0160.199006a.0001 (Mi ufn7533) 		 
This article is cited in 115 scientific papers (total in 117 papers)

REVIEWS OF TOPICAL PROBLEMS

Topological phases in quantum mechanics and polarization optics

S. I. Vinitskya, V. L. Derbovb, V. M. Dubovika, B. L. Markovskia, Yu. P. Stepanovskiic

a Joint Institute for Nuclear Research, Dubna, Moscow region
b Saratov State University
c Kharkov Institute of Physics and Technology
Full-text PDF (1755 kB) Citations (117)
DOI: https://doi.org/10.3367/UFNr.0160.199006a.0001
Abstract: A mathematical treatment is presented of the known Berry, Wilczek–Zee, Aharonov–Anandan, and Pancharatnam topological phases, and simple illustrative examples of their quantum mechanics are presented. The continuity and connection is traced among the various phases, while filling the gap involved with the forgotten works of S. M. Rytov and V. V. Vladimirskiĭ in polarization optics. A set of current experiments in polarization optics where the topological phases are measured is discussed in detail. Additional information on recently obtained results involving manifestations of geometrical phases in quantum mechanics and other fields of physics is contained in the Appendix and in the studies cited there.
English version:
Physics–Uspekhi, 1990, Volume 33, Issue 6, Pages 403–428
DOI: https://doi.org/10.1070/PU1990v033n06ABEH002598
Document Type: Article
UDC: 530.145.6+535.51
PACS: 03.65.Vf, 03.65.Ta, 42.50.-p
Language: Russian
Citation: S. I. Vinitsky, V. L. Derbov, V. M. Dubovik, B. L. Markovski, Yu. P. Stepanovskii, “Topological phases in quantum mechanics and polarization optics”, UFN, 160:6 (1990), 1–49; Phys. Usp., 33:6 (1990), 403–428
Citation in format AMSBIB
\Bibitem{VinDerDub90}
\by S.~I.~Vinitsky, V.~L.~Derbov, V.~M.~Dubovik, B.~L.~Markovski, Yu.~P.~Stepanovskii
\paper Topological phases in quantum mechanics and polarization optics
\jour UFN
\yr 1990
\vol 160
\issue 6
\pages 1--49
\mathnet{http://mi.mathnet.ru/ufn7533}
\crossref{https://doi.org/10.3367/UFNr.0160.199006a.0001}
\transl
\jour Phys. Usp.
\yr 1990
\vol 33
\issue 6
\pages 403--428
\crossref{https://doi.org/10.1070/PU1990v033n06ABEH002598}
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    • This publication is cited in the following 117 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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