Quantization of Intrinsic Nonlinear Localized Modes in Solids

Takeno, S.; Konotop, V. V.

doi:10.1007/978-94-010-0542-5_12

S. Takeno³ &
V. V. Konotop⁴

Part of the book series: NATO Science Series ((NAII,volume 45))

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Abstract

A theory of quantization of intrinsic localized modes (ILM) in solids due to the hard nonlinearity is formulated within the rotating-wave approximation for the case of strong localization. An atom associated with the central position of the ILM and its nearest neighbors are treated as a defect in the corresponding linear lattice which is characterized by their mean-square displacements (MSD). A nonlinear eigenvalue problem for the ILM is thereby reduced to the linear one in which the MSD of the defect is determined in a self-consistent manner.

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Authors and Affiliations

Faculty of Information Science, Osaka Institute of Technology, 1-79, Hirakata, Osaka, 573-0171, Japan
S. Takeno
Departamento de Fisica da Faculdade de Ciencias, Universidade de Lisbon, P-1649-003, Lisboa, Portugal
V. V. Konotop

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S. Takeno
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V. V. Konotop
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Editors and Affiliations

Physical-Technical Institute, Uzbek Academy of Sciences, Tashkent, Uzbekistan
Fatkhulla Abdullaev
Department of Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark
Ole Bang & Mads Peter Sørensen &

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Takeno, S., Konotop, V.V. (2001). Quantization of Intrinsic Nonlinear Localized Modes in Solids. In: Abdullaev, F., Bang, O., Sørensen, M.P. (eds) Nonlinearity and Disorder: Theory and Applications. NATO Science Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0542-5_12

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DOI: https://doi.org/10.1007/978-94-010-0542-5_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0192-5
Online ISBN: 978-94-010-0542-5
eBook Packages: Springer Book Archive

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