Summary
A generalization of the gauge-invariant Yang phase for open systems (described by non-Hermitian (NH) Hamiltonians) is derived by a biorthonormalstate approach. It is shown that the NH Yang phase is invariant under nonunitary bicanonical transformations.
This is a preview of subscription content, log in via an institution to check access.
References
J. C. Garrison andE. M. Wright:Phys. Lett. A,128, 177 (1988).
R. Mignani:Lie-isotopic generalization of Berry’s phase, inProceedings of the IV Workshop on Hadronic Mechanics and Nonpotential Interactions, Skopje, Yugoslavia, August 21–24, 1988, edited byM. Mijaitivic (Nova Science, Commack, N.Y., 1990), p. 125.
D. Ellinas, S. M. Barnett andM. A. Dupertuis:Phys. Rev. A,39, 3228 (1989).
D. Gambiel andJ. Freed:Phys. Rev. A,39, 3238 (1989).
G. Dattoli, R. Mignami andA. Torre:J. Phys. A,23, 5795 (1990).
Ch. Miniatura, C. Sire, J. Baudon andJ. Bellissard:Europhys. Lett.,13, 199 (1990).
M. V. Berry:Proc. R. Soc. London, Ser. A,392, 45 (1984). For a comprehensive account of the relevant literature up to 1989, seeGeometric Phases in Physics, edited byA. Shapere andF. Wilczek (World Scientific, Singapore, 1989).
D. H. Kobe:J. Phys. A,23, 4249 (1990).
K. H. Yang:Ann. Phys. (N.Y.),101, 62, 97 (1976).
Y. Aharonov andJ. Anandan:Phys. Rev. Lett.,58, 1593 (1987);J. Anandan andY. Aharonov:Phys. Rev. D,38, 1863 (1988).
J. Wong:J. Math. Phys.,8, 2039 (1967);L. Fonda, G. C. Ghirardi andA. Rimini:Rep. Progr. Phys.,41, 587 (1978);H. C. Baker:Phys. Rev. A,30, 773, (1984);H. C. Baker andR. L. Singleton jr.:Phys. Rev. A,42, 10 (1990).
G. Dattoli, A. Torre andR. Mignani:Phys. Rev. A,42, 1467 (1990).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mignani, R. Generalized Yang phase for open systems. Nuov Cim B 107, 113–116 (1992). https://doi.org/10.1007/BF02726889
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02726889