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On the importance of the Born-Oppenheimer approximation in 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 concept of molecular structure, fundamental for correctly configuring space in the problem of describing the discrete spectrum of intramolecular dynamics, can be introduced only in the Born-Oppenheimer approximation. Therefore, it is this approximation that allows formalizing the formulation of this problem. The symmetry properties of dynamics give rise to limitations in determining some types of internal motions, whose violation leads to incorrect physical conclusions.

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Fulltext is also available at DOI: 10.3367/UFNe.0180.201007e.0745
PACS: 31.15.xh, 33.15.Bh, 33.20.−t (all)
DOI: 10.3367/UFNe.0180.201007e.0745
URL: https://ufn.ru/en/articles/2010/7/e/
000282808100005
2-s2.0-77958531131
2010PhyU...53..713B
Citation: Burenin A V "On the importance of the Born-Oppenheimer approximation in intramolecular dynamics" Phys. Usp. 53 713–724 (2010)
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Оригинал: Буренин А В «О значении приближения Борна-Оппенгеймера во внутримолекулярной динамике» УФН 180 745–757 (2010); DOI: 10.3367/UFNr.0180.201007e.0745

References (33) Cited by (5) Similar articles (20) ↓

  1. A.V. Burenin “Symmetry of quantum intramolecular dynamics” Phys. Usp. 45 753–776 (2002)
  2. A.V. Burenin “The ’chain of symmetry groups’ concept in the theory of molecular spectra” Phys. Usp. 36 (3) 177–187 (1993)
  3. A.V. Burenin “Qualitative intramolecular quantum dynamics” Phys. Usp. 42 591–602 (1999)
  4. E.D. Trifonov “On the spin-statistics theorem” Phys. Usp. 60 621–622 (2017)
  5. M.V. Lebedev, O.V. Misochko “On the question of a classical analog of the Fano problem” Phys. Usp. 65 627–640 (2022)
  6. V.I. Alshits, V.N. Lyubimov “Generalization of the Leontovich approximation for electromagnetic fields on a dielectric — metal interface” Phys. Usp. 52 815–820 (2009)
  7. V.S. Beskin, A.A. Zheltoukhov “On the anomalous torque applied to a rotating magnetized sphere in a vacuum” Phys. Usp. 57 799–806 (2014)
  8. V.V. Brazhkin “Can glassforming liquids be 'simple'?” Phys. Usp. 62 623–629 (2019)
  9. S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles” Phys. Usp. 42 573–590 (1999)
  10. S.P. Efimov “Coordinate space modification of Fock's theory. Harmonic tensors in the quantum Coulomb problem” Phys. Usp. 65 952–967 (2022)
  11. V.V. Brazhkin “'Quantum' values of the extrema of 'classical' macroscopic quantities” Phys. Usp. 66 1154–1163 (2023)
  12. D.V. Karlovets “On dual representation in classical electrodynamics” Phys. Usp. 53 817–824 (2010)
  13. I.F. Ginzburg “Unsolved problems in fundamental physics” Phys. Usp. 52 495–498 (2009)
  14. S.N. Semenov, M.E. Schimpf “Mass transport thermodynamics in nonisothermal molecular liquid mixtures” Phys. Usp. 52 1045–1054 (2009)
  15. O.V. Rudenko “Nonlinear dynamics of quadratically cubic systems” Phys. Usp. 56 683–690 (2013)
  16. A.A. Snarskii “Did Maxwell know about the percolation threshold? (on the fiftieth anniversary оf percolation theory)” Phys. Usp. 50 1239–1242 (2007)
  17. V.G. Bagrov, D.M. Gitman, A.S. Pereira “Coherent and semiclassical states of a free particle” Phys. Usp. 57 891–896 (2014)
  18. A.A. Voronin, A.M. Zheltikov “Nonlinear dynamics of high-power ultrashort laser pulses: exaflop computations on a laboratory station and subcycle light bullets” Phys. Usp. 59 869–877 (2016)
  19. Yu.Yu. Stoilov “Laser beam in a soap film” Phys. Usp. 47 1261–1270 (2004)
  20. A.V. Borisov, I.S. Mamaev “Strange attractors in rattleback dynamics” Phys. Usp. 46 393–403 (2003)

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