Abstract
Quantization of an SO(4,1) gauge theory is carried out leading to a Hamiltonian which describes the kinetic energy of an object moving on a space endowed with a connection. In the nonrelativistic limit, an association is made between the translational gauge component and Berry's connection.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Reference
A. D'Adda: Theory of Fundamental Interactions North-Holland, Amsterdam 268 (1982).
K. S. Stelle, P. C. West: J. Phys. A 8 L205 (1979); Phys. Rev. D21 1466 (1980).
R. J. Mckellar: J. Math. Phys. 25 161 (1984).
S. Kobayashi, K. Nomizu: Foundations of Differential Geometry vol. I Interscience, New York (1963).
R. R. Aldinger: J. Phys. A 23 1885 (1990).
R. J. Finkelstein: Phys. Rev. 75 1079 (1949).
R. R. Aldinger: Int. J. Theor. Phys. 25 527 (1986); Phys. Rev. D32 1503 (1985)
R. R. Aldinger et al: Phys. Rev. D29 2828 (1984); ibid: D28 3020 (1983).
M. V. Berry: Proc. Roy. Soc. London A392 45 (1984).
P. Nelson,L. Alvarez-Gaumé: Commun. Math. Phys. 99 103 (1985); L. D. Faddeev, S. H. Shatashvili: ibid. 167B 225 (1986).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Aldinger, R.R. (1991). Gauge translations and the Berry phase. In: Dodonov, V.V., Man'ko, V.I. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54040-7_129
Download citation
DOI: https://doi.org/10.1007/3-540-54040-7_129
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54040-3
Online ISBN: 978-3-540-47363-3
eBook Packages: Springer Book Archive