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Discrete breathers: classical and quantum

R.S. MacKay

Physica A: Statistical Mechanics and its Applications, 2000, vol. 288, issue 1, 174-198

Abstract: Discrete breathers are time-periodic spatially localised motions in networks of oscillators. Their occurrence in three principal contexts is reviewed: (i) autonomous Hamiltonian or reversible systems, (ii) autonomous forced damped systems, and (iii) time-periodically forced systems. The main proposed area of application, however, is to molecular crystals, where quantum effects must be taken into account. Thus an idea for a theory of quantum discrete breathers is also presented, though some details remain to be worked out.

Keywords: Localisation; Nonlinear dynamics; Spectral projection; Discrete breather (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:288:y:2000:i:1:p:174-198

DOI: 10.1016/S0378-4371(00)00421-0

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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