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The Quantum Theory of Solitons with Thermal Vibration Taken into Account

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Davydov’s Soliton Revisited

Part of the book series: NATO ASI Series ((NSSB,volume 243))

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Abstract

Many investigations of autolocalized states—solitons—in molecular systems have used the classical description of molecular displacements from equilibrium positions at T = 0. In those cases quantum fluctuations of the equilibrium positions and thermal vibrations of molecule about new equilibrium position were not taken into account.

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References

  1. A.S. Davydov, Quantum theory of motion of a quasi-particle in a molecular chain with thermal vibrations taken into account, phys. stat. sol. (b) 138, 559, (1986).

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  2. L. Landau, Über die Bewegung der Electronen in Kristallgitter, Phys. Z. Sowjetunion 3, 664 (1933).

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  3. C.I. Pekar, Autolocalization of an electron in crystals, Zh. Eksp. and Teor. Fiz. 16, 335 (1946).

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  4. A.S. Davydov, Solitony v Molekulyarnykh Sistemakh, Naukova Dumka, Second edition, 1987, Kiev; Solitons in Molecular Systems, D. Reidel Publishing Company, Dordrecht (1985).

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© 1990 Springer Science+Business Media New York

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Davydov, A.S. (1990). The Quantum Theory of Solitons with Thermal Vibration Taken into Account. In: Christiansen, P.L., Scott, A.C. (eds) Davydov’s Soliton Revisited. NATO ASI Series, vol 243. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9948-4_18

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  • DOI: https://doi.org/10.1007/978-1-4757-9948-4_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9950-7

  • Online ISBN: 978-1-4757-9948-4

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