Abstract
A formulation of quantum mechanics in terms of Lie algebras is introduced. Exactly solvable problems in an arbitrary number of dimensions are classified and discussed briefly.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
S. Flügge, “Practical Quantum Mechanics”, Springer-Verlag, Berlin (1974).
A. Arima and F. Iachello, Phys. Rev. Lett. 35, 1069 (1975); F. Iachello and A. Arima, “The Interacting Boson Model”, Cambridge University Press, Cambridge (1987).
F. Iachello, Chem. Phys. Lett. 78, 581 (1981); F. Iachello and R.D. Levine, J. Chem. Phys. 77, 3046 (1982); F. Iachello and R.D. Levine, “Algebraic Theory of Molecules”, Oxford University Press, Oxford (1994).
F. Iachello, Nucl. Phys. A560, 23 (1993); F. Iachello, in “Lie Algebras, Cohomologies and New Applications of Quantum Mechanics”, Contemporary Mathematics, AMS, Vol. 160 (1994), p. 151–171.
Y. Alhassid, F. Gürsey and F. Iachello, Phys. Rev. Lett. 50, 873 (1983).
See, B.W. Wybourne, “Classical Groups for Physicists”, J. Wiley and Sons, N.Y. (1976), Chapts. 20 and 21
W. Miller, Jr.,“ Lie Theory and Special Functions”, Academic Press, New York (1968), Chapt. 2.
N. Kamran and P.J. Olver, J. Math. Anal. Appl. 145, 342 (1990).
Y. Alhassid, F. Gürsey and F. Iachello, Ann. Rhys. (N.Y.) 148, 346 (1983).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag
About this paper
Cite this paper
Iachello, F. (1995). Lie algebras and exactly solvable problems in Quantum Mechanics. In: Aktaş, G., Saçlioğlu, C., Serdaroğlu, M. (eds) Strings and Symmetries. Lecture Notes in Physics, vol 447. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59163-X_263
Download citation
DOI: https://doi.org/10.1007/3-540-59163-X_263
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-59163-4
Online ISBN: 978-3-540-49204-7
eBook Packages: Springer Book Archive