On the question of a classical analog of the Fano problem

M.V. Lebedev^†, O.V. Misochko^‡
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.

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/
Web of Science

001098556300001
Scopus

2-s2.0-85182898026
ADS NASA

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, accepted: 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) ↓ Similar articles (11)

Fano U Nuovo Cimento 12 154 (1935)
Clark C W A Century Of Excellence In Measurements, Standards, And Technology (Ed. D R Lide) (Boca Raton, FL: CRC Press, 2001) p. 116
Berry R S, Inokuti M, Rau A R P Biograph. Memoirs Fellows R. Soc. 58 55 (2012)
Fano U Phys. Rev. 124 1866 (1961)
Blatt J M, Weisskopf V F Theoretical Nuclear Physics (New York: Wiley, 1952)
Madden R P, Codling K Phys. Rev. Lett. 10 516 (1963)
Fano U, Cooper J W Phys. Rev. 137 A1364 (1965)
Rost J M et al J. Phys. B 30 4663 (1997)
Kroner M et al Nature 451 311 (2008)
Krasnok A E et al Phys. Usp. 56 539 (2013); Krasnok A E et al Usp. Fiz. Nauk 183 561 (2013)
Fan J A et al Science 328 1135 (2010)
Schmidt A R et al Nature 465 570 (2010)
Linn S H et al J. Chem. Phys. 78 50 (1983)
Rybin M V, Limonov M F Phys. Usp. 62 823 (2019); Rybin M V, Limonov M F Usp. Fiz. Nauk 189 881 (2019)
Klimov V V Phys. Usp. 62 1058 (2019); Klimov V V Usp. Fiz. Nauk 189 1131 (2019)
Rybin M V, Limonov M F Phys. Usp. 62 1279 (2019); Rybin M V, Limonov M F Usp. Fiz. Nauk 189 1364 (2019)
Joe Y S, Satanin A M, Kim C S Phys. Scr. 74 259 (2006)
Riffe D M Phys. Rev. B 84 064308 (2011)
Misochko O V, Lebedev M V J. Exp. Theor. Phys. 120 651 (2015); Misochko O V, Lebedev M V Zh. Eksp. Teor. Fiz. 147 750 (2015)
Lv B et al Sci. Rep. 6 31884 (2016)
Lebedev M V, Misochko O V Phys. Solid State 51 1843 (2009); Lebedev M V, Misochko O V Fiz. Tverd. Tela 51 1735 (2009)
Shalashov A G Phys. Usp. 61 1082 (2018); Shalashov A G Usp. Fiz. Nauk 188 1191 (2018)
Zel’dovich B Ya, Soileau M J Phys. Usp. 47 1239 (2004); Zel’dovich B Ya, Soileau M J Usp. Fiz. Nauk 174 1337 (2004)
Goupalov S V Phys. Usp. 63 57 (2020); Goupalov S V Usp. Fiz. Nauk 190 63 (2020)
Vinogradov E A Phys. Usp. 63 775 (2020); Vinogradov E A Usp. Fiz. Nauk 190 829 (2020)
Misochko O V J. Exp. Theor. Phys. 92 246 (2001); Misochko O V Zh. Eksp. Teor. Fiz. 119 285 (2001)
Zheltikov A M Phys. Usp. 54 29 (2011); Zheltikov A M Usp. Fiz. Nauk 181 33 (2011)
Misochko O V Phys. Usp. 56 868 (2013); Misochko O V Usp. Fiz. Nauk 183 917 (2013)
Cerdeira F, Fjeldly T A, Cardona M Phys. Rev. B 8 4734 (1973)
Kato K et al Jpn. J. Appl. Phys. 48 100205 (2009)
Savona V, Tassone F Solid State Commun. 95 673 (1995)
Houdré R, Stanley R P, Ilegems M Phys. Rev. A 53 2711 (1996)
Knight P L, Milonni P W Phys. Rep. 66 21 (1980)