Issues

 / 

2002

 / 

July

  

Methodological notes


Symmetry of quantum intramolecular dynamics


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.

Fulltext pdf (460 KB)
Fulltext is also available at DOI: 10.1070/PU2002v045n07ABEH000999
PACS: 03.65.Fd, 31.15.Hz, 33.15.Bh (all)
DOI: 10.1070/PU2002v045n07ABEH000999
URL: https://ufn.ru/en/articles/2002/7/d/
000179103100004
Citation: Burenin A V "Symmetry of quantum intramolecular dynamics" Phys. Usp. 45 753–776 (2002)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (17) ↓

  1. A.V. Burenin “On the importance of the Born-Oppenheimer approximation in intramolecular dynamicsPhys. Usp. 53 713–724 (2010)
  2. A.V. Burenin “Qualitative intramolecular quantum dynamicsPhys. Usp. 42 591–602 (1999)
  3. A.V. Burenin “The ’chain of symmetry groups’ concept in the theory of molecular spectraPhys. Usp. 36 (3) 177–187 (1993)
  4. V.P. Bykov, V.I. Tatarskii “Perturbation theory for resolvents as applied to problems in radiation theorySov. Phys. Usp. 34 (2) 167–184 (1991)
  5. V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theoryPhys. Usp. 50 1217–1238 (2007)
  6. V.P. Demutskii, R.V. Polovin “Conceptual problems in quantum mechanicsSov. Phys. Usp. 35 (10) 857–896 (1992)
  7. S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particlesPhys. Usp. 42 573–590 (1999)
  8. A.V. Kukushkin “An invariant formulation of the potential integration method for the vortical equation of motion of a material pointPhys. Usp. 45 1153–1164 (2002)
  9. I.M. Arbekov, S.N. Molotkov “Extraction of quantum randomnessPhys. Usp. 64 617–634 (2021)
  10. A.N. Rubtsov “On the question of measurement in quantum mechanicsPhys. Usp. 66 734–740 (2023)
  11. V.I. Klyatskin, K.V. Koshel’ “Simple example of the development of cluster structure of a passive tracer field in random flowsPhys. Usp. 43 717–723 (2000)
  12. V.F. Kovalev, D.V. Shirkov “Renormalization-group symmetries for solutions of nonlinear boundary value problemsPhys. Usp. 51 815–830 (2008)
  13. S.V. Vladimirov, Yu.O. Tyshetskiy “On description of a collisionless quantum plasmaPhys. Usp. 54 1243–1256 (2011)
  14. G.L. Landsberg “Computer viruses and methods of combatting themSov. Phys. Usp. 34 (2) 185–200 (1991)
  15. A.A. Voronin, A.M. Zheltikov “Nonlinear dynamics of high-power ultrashort laser pulses: exaflop computations on a laboratory station and subcycle light bulletsPhys. Usp. 59 869–877 (2016)
  16. V.Yu. Shishkov, E.S. Andrianov et alRelaxation of interacting open quantum systemsPhys. Usp. 62 510–523 (2019)
  17. V.L. Ginzburg “The nature of spontaneous radiationSov. Phys. Usp. 26 713–719 (1983)

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions