Symmetry of quantum intramolecular dynamics

A.V. Burenin
Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

The paper reviews the current progress in describing quantum intramolecular dynamics using merely symmetry principles as a basis. This closed qualitative approach is of particular interest because it is the only method currently available for a broad class of topical problems in the internal dynamics of molecules. Moreover, a molecule makes a physical system whose collective internal motions are geometrically structured, so that its description by perturbation methods requires a symmetry analysis of this structure. The nature of the geometrical symmetry groups crucial for the closed formulation of the qualitative approach is discussed. In particular, the point group of a molecule is of this type.

PACS: 03.65.Fd, 31.15.Hz, 33.15.Bh (all)
DOI: 10.1070/PU2002v045n07ABEH000999
URL: https://ufn.ru/en/articles/2002/7/d/
Web of Science

000179103100004
Citation: Burenin A V "Symmetry of quantum intramolecular dynamics" Phys. Usp. 45 753–776 (2002)

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Оригинал: Буренин А В «Симметрия квантовой внутримолекулярной динамики» УФН 172 813–836 (2002); DOI: 10.3367/UFNr.0172.200207e.0813

References (49) Cited by (28) Similar articles (20) ↓

A.V. Burenin “Qualitative intramolecular quantum dynamics” Phys. Usp. 42 591–602 (1999)
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A.V. Burenin “The ’chain of symmetry groups’ concept in the theory of molecular spectra” Phys. Usp. 36 (3) 177–187 (1993)
V.P. Bykov, V.I. Tatarskii “Perturbation theory for resolvents as applied to problems in radiation theory” Sov. Phys. Usp. 34 (2) 167–184 (1991)
V.P. Demutskii, R.V. Polovin “Conceptual problems in quantum mechanics” Sov. Phys. Usp. 35 (10) 857–896 (1992)
V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theory” Phys. Usp. 50 1217–1238 (2007)
V.Yu. Shishkov, E.S. Andrianov et al “Relaxation of interacting open quantum systems” Phys. Usp. 62 510–523 (2019)
V.I. Klyatskin “Statistical description of the diffusion of a passive tracer in a random velocity field” Phys. Usp. 37 501–513 (1994)
I.G. Kaplan “The exclusion principle and indistinguishability of identical particles in quantum mechanics” Sov. Phys. Usp. 18 988–994 (1975)
A.V. Stepanov, Yu.M. Tsipenyuk “Semiclassical approach to nuclear gamma resonance in crystals” Phys. Usp. 43 79–87 (2000)
V.V. Mityugov “Thermodynamics of simple quantum systems” Phys. Usp. 43 631–637 (2000)
S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles” Phys. Usp. 42 573–590 (1999)
M.D. Bal’makov “Information capacity of condensed systems” Phys. Usp. 42 1167–1173 (1999)
M.V. Kuzelev, A.A. Rukhadze “On the quantum description of the linear kinetics of a collisionless plasma” Phys. Usp. 42 603–605 (1999)
A.B. Brailovskii, V.L. Vaks, V.V. Mityugov “Quantum models of relaxation” Phys. Usp. 39 745–750 (1996)
V.S. Beskin, V.I. Par’ev “Axially symmetric steady-state flows in the vicinity of a Kerr black hole and the nature of the activity of galactic nuclei” Phys. Usp. 36 (6) 529–539 (1993)
Yu.M. Kopnin, M.Yu. Kopnin “Orbits of the hydrogen electron in a uniform electric field” Phys. Usp. 36 (11) 1075–1078 (1993)
V.A. Aleshkevich “On special relativity teaching using modern experimental data” Phys. Usp. 55 1214–1231 (2012)
V.I. Tatarskii “Example of the description of dissipative processes in terms of reversible dynamic equations and some comments on the fluctuation-dissipation theorem” Sov. Phys. Usp. 30 134–152 (1987)
A.G. Shalashov “Can we refer to Hamilton equations for an oscillator with friction?” Phys. Usp. 61 1082–1088 (2018)

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