Abstract
A hypothesis for the nature of the geometrical symmetry groups that are used in the quantum intramolecular dynamics in the Born-Oppenheimer approximation is considered. It is assumed that they are the dynamic symmetry groups of a more rigorous problem of intramolecular motion. On this basis, the contradictions in the concept of geometrical symmetry groups are removed and a number of new conclusions concerning the general properties of molecular systems are made.
Similar content being viewed by others
References
A. S. Davydov, Quantum Mechanics (Nauka, Moscow, 1973; Pergamon, Oxford, 1976).
P. A. Braun and A. A. Kiselev, Introduction to the Theory of Molecular Spectra (Leningr. Gos. Univ., Leningrad, 1983).
I. B. Bersuker and V. Z. Polinger, Vibronic Interactions in Molecules and Crystals (Nauka, Moscow, 1983; Springer-Verlag, New York, 1989).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1974; Pergamon, New York, 1977).
I. G. Kaplan, Symmetry of Many-Electron Systems (Nauka, Moscow, 1969; Academic, New York, 1975).
P. Bunker, Molecular Symmetry and Spectroscopy (Academic, New York, 1979; Mir, Moscow, 1981).
H. C. Longuet-Higgins, Mol. Phys. 6, 445 (1963).
A. V. Burenin, Usp. Fiz. Nauk 163(3), 87 (1993) [Phys. Usp. 36, 177 (1993)].
A. V. Burenin, Usp. Fiz. Nauk 169, 673 (1999).
A. O. Barut and R. Raczka, Theory of Group Representations and Applications (Polish Scientific Publ., Warsaw, 1977; Mir, Moscow, 1980).
J. P. Elliott and P. G. Dawber, Symmetry in Physics (Macmillan, London, 1979; Mir, Moscow, 1983), Vol. 2.
V. A. Fok, Izv. Akad. Nauk SSSR, Ser. Fiz., No. 2, 169 (1935).
Yu. S. Makushkin and V. G. Tyuterev, Methods of the Perturbation Theory and Effective Hamiltonians in Molecular Spectroscopy (Nauka, Novosibirsk, 1984).
H. A. Jahn and E. Teller, Proc. R. Soc. London, Ser. A 161, 220 (1937).
I. B. Bersuker, The Jahn-Teller Effect and Vibronic Interactions in Modern Chemistry (Nauka, Moscow, 1987; Plenum, New York, 1984).
A. V. Burenin, Opt. Spektrosk. 89, 730 (2000) [Opt. Spectrosc. 89, 672 (2000)].
L. A. Gribov, V. I. Baranov, and D. Yu. Zelentsov, Electronic-Vibrational Spectra of Polyatomic Molecules (Nauka, Moscow, 1997).
A. V. Burenin, Opt. Spektrosk. 88, 34 (2000) [Opt. Spectrosc. 88, 28 (2000)].
A. V. Burenin, Opt. Spektrosk. 88, 943 (2000) [Opt. Spectrosc. 88, 857 (2000)].
T. K. Rebane, Opt. Spektrosk. 86, 33 (1999) [Opt. Spectrosc. 86, 26 (1999)].
Author information
Authors and Affiliations
Additional information
__________
Translated from Optika i Spektroskopiya, Vol. 92, No. 5, 2002, pp. 756–760.
Original Russian Text Copyright © 2002 by Burenin.
Rights and permissions
About this article
Cite this article
Burenin, A.V. On the nature of the geometrical symmetry groups in the quantum intramolecular dynamics. Opt. Spectrosc. 92, 692–696 (2002). https://doi.org/10.1134/1.1481133
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1481133