Reviews of topical problems

Topological phases in quantum mechanics and polarization optics

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.

Fulltext pdf (1.2 MB)
Fulltext is also available at DOI: 10.1070/PU1990v033n06ABEH002598
PACS: 03.65.Vf, 03.65.Ta, 42.50.−p (all)
DOI: 10.1070/PU1990v033n06ABEH002598
Citation: Vinitskii S I, Derbov V L, Dubovik V M, Markovski B L, Stepanovskii Yu P "Topological phases in quantum mechanics and polarization optics" Sov. Phys. Usp. 33 (6) 403–428 (1990)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Виницкий С И, Дербов В Л, Дубовик В М, Марковски Б Л, Степановский Ю П «Топологические фазы в квантовой механике и поляризационной оптике» УФН 160 (6) 1–49 (1990); DOI: 10.3367/UFNr.0160.199006a.0001

Cited by (115) Similar articles (20)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: Editorial office contacts About the journal Terms and conditions