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On the question of a classical analog of the Fano problem

† , ‡ 
Osipyan Institute of Solid State Physics, Russian Academy of Sciences, Akademika Osip'yana str. 2, Chernogolovka, Moscow Region, 142432, Russian Federation

A system of interacting classical oscillators is discussed, which is an analog of the quantum-mechanical problem of a discrete energy level interacting with an energy quasi-continuum of states considered by Fano. The limiting transition to the continuous spectrum and the possible connection of this problem with the generation of coherent phonons are analyzed.

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Keywords: Fano interference, coherent phonons
PACS: 03.65.Nk, 46.40.Ff, 78.47.−p (all)
DOI: 10.3367/UFNe.2021.11.039098
URL: https://ufn.ru/en/articles/2022/6/e/
001098556300001
2-s2.0-85182898026
2022PhyU...65..627L
Citation: Lebedev M V, Misochko O V "On the question of a classical analog of the Fano problem" Phys. Usp. 65 627–640 (2022)
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Received: 3rd, February 2021, revised: 24th, September 2021, 4th, November 2021

Оригинал: Лебедев М В, Мисочко О В «К вопросу о классическом аналоге задачи Фано» УФН 192 674–688 (2022); DOI: 10.3367/UFNr.2021.11.039098

References (33) Cited by (1) Similar articles (20) ↓

  1. V.G. Bagrov, D.M. Gitman, A.S. Pereira “Coherent and semiclassical states of a free particle” Phys. Usp. 57 891–896 (2014)
  2. A.I. Frank “On the properties of the "potential" neutron dispersion law in a refractive medium” Phys. Usp. 61 900–901 (2018)
  3. Ya.E. Amstislavskii, A.S. Mamakov “New experiments on the combining of mechanical vibrations and on mechanical resonance” Sov. Phys. Usp. 9 621–623 (1967)
  4. S.M. Stishov “On the thermodynamics of simple systems” Phys. Usp. 67 912–918 (2024)
  5. Yu.M. Bruk, A.N. Voloshchuk “Scattering phases for particles with nonzero orbital momenta and resonance regimes in the Pais approximation” Phys. Usp. 55 161–168 (2012)
  6. D.V. Karlovets “On dual representation in classical electrodynamics” Phys. Usp. 53 817–824 (2010)
  7. F.Ya. Khalili “Zero-point oscillations, zero-point fluctuations, and fluctuations of zero-point oscillations” Phys. Usp. 46 293–307 (2003)
  8. V.P. Demutskii, R.V. Polovin “Conceptual problems in quantum mechanics” Sov. Phys. Usp. 35 (10) 857–896 (1992)
  9. 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)
  10. Ya.B. Zel’dovich “Scattering and emission of a quantum system in a strong electromagnetic wave” Sov. Phys. Usp. 16 427–433 (1973)
  11. S.V. Goupalov “Classical problems with the theory of elasticity and the quantum theory of angular momentum” Phys. Usp. 63 57–65 (2020)
  12. S.M. Stishov “Quantum effects in a system of Boltzmann hard spheres” Phys. Usp. 62 617–622 (2019)
  13. A.G. Shalashov “Can we refer to Hamilton equations for an oscillator with friction?” Phys. Usp. 61 1082–1088 (2018)
  14. A.V. Burenin “On the importance of the Born-Oppenheimer approximation in intramolecular dynamics” Phys. Usp. 53 713–724 (2010)
  15. V.A. Saranin, V.V. Mayer “Interaction of two charged conducting balls: theory and experiment” Phys. Usp. 53 1067–1074 (2010)
  16. V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theory” Phys. Usp. 50 1217–1238 (2007)
  17. N.V. Evdokimov, D.N. Klyshko et al “Bell’s inequalities and EPR-Bohm correlations: working classical radiofrequency model” Phys. Usp. 39 83–98 (1996)
  18. B.B. Kadomtsev “Classical and quantum irreversibility” Phys. Usp. 38 923–929 (1995)
  19. V.V. Mityugov “The tree of paradox” Phys. Usp. 36 (8) 744–753 (1993)
  20. V.P. Bykov “Squeezed light and nonclassical motion in mechanics” Phys. Usp. 36 (9) 841–850 (1993)

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