Abstract
It was shown that the dynamical symmetry of the relativistic linear oscillator is described by the quantum Lie algebra.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
E. D. Kagramanov, R. M. Mir-Kasimov, Sh. M. Nagiyev, preprint (IC/89/ 42, Trieste, 1989). To be published in Journ. Math. Phys.
L. C. Biedenharn, J. Phys. A22 (1989) L873; A. J. Macfarlaine, J. Phys. A22 (1989) 4581; R.Floreani, V.Spiridonov, L.Vinet, preprint (UCLA/ 90/TEP/12, University of California, 1990); T. Hayashi, Comm. Math. Phys. 127 (1990) 129.
L.D.Faddeev Integrable Models in (1+1) Dimensional Quantum Field Theory (Les Houches XXXIX) ed. J.-B. Zuber and R.Stora (Elsevier, Amsterdam, 1984).
P. P. Kulish and N. Y. Reshetikhin,J. Soviet. Mat. 23 (1983)2435
P.P.Kulish and E.K.Sklyanin, Lecture Notes in Physics, Vol.151 (Springer, Berlin, 1982) 61.
L.D.Faddeev, N.Y.Reshetikhin and L.A.Takhtajan, Algebra i Analis 1. (1989) 178.
Yu.I.Manin, Annales de l'Institut Fourier 37. (1987) 191.
M.Chaichian, P.Kulish and J.L.Lukierski, Phys. Lett. B237. (1990) 401.
S.Vokos, B.Zumino and J.Wess, preprint (LAPP-TH-253/89, Annecy-le-Viex, 1989).
I.M.Malkin, V.I.Manko, Dynamical Symmetries and Coherent States of Quantum Systems, “Nauka” Publishers, Moscow, (1979).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Mir-Kasimov, R.M. (1991). Relativistic oscillator = q-oscillator. 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_110
Download citation
DOI: https://doi.org/10.1007/3-540-54040-7_110
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