中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4268-4272.doi: 10.1088/1674-1056/17/11/051

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Two-vibron bound states in the β--Fermi--Pasta--Ulam model

胡新广, 唐 翌   

  1. Department of Physics, Xiangtan University, Xiangtan 411105, China
  • 收稿日期:2008-02-14 修回日期:2008-04-24 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the Key Project of Hunan Provincial Educational Department of China (Grant No 04A058).

Two-vibron bound states in the $\beta$--Fermi--Pasta--Ulam model

Hu Xin-Guang (胡新广), Tang Yi (唐 翌)   

  1. Department of Physics, Xiangtan University, Xiangtan 411105, China
  • Received:2008-02-14 Revised:2008-04-24 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the Key Project of Hunan Provincial Educational Department of China (Grant No 04A058).

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摘要： This paper studies the two-vibron bound states in the $\beta $--Fermi--Pasta--Ulam model by means of the number conserving approximation combined with the number state method. The results indicate that on-site, adjacent-site and mixed two-vibron bound states may exist in the model. Specially, wave number has a significant effect on such bound states, which may be considered as the quantum effects of the localized states in quantum systems.

关键词: discrete breathers, Fermi--Pasta--Ulam model, number state method, two-vibron bound states

Abstract: This paper studies the two-vibron bound states in the $\beta $--Fermi--Pasta--Ulam model by means of the number conserving approximation combined with the number state method. The results indicate that on-site, adjacent-site and mixed two-vibron bound states may exist in the model. Specially, wave number has a significant effect on such bound states, which may be considered as the quantum effects of the localized states in quantum systems.

Key words: discrete breathers, Fermi--Pasta--Ulam model, number state method, two-vibron bound states

中图分类号:  (Phonon states and bands, normal modes, and phonon dispersion)

  • 63.20.D-
63.20.Pw (Localized modes)