Abstract
The bound states of four bosons in the quantum β-Fermi–Pasta–Ulam model are investigated and some interesting results are presented using the number conserving approximation combined with the number state method. We find that the relative magnitude of anharmonic coefficient has a significant effect on forming localized energy in the model, and the wave number plays an important role in forming different bound states. The signature of the quantum breather is also set up by the square of the amplitudes of the corresponding eigenvectors in real space.
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Acknowledgement
The authors would like to thank Dr Li Shihua and Zhang Jun for interesting comments and suggestions. The work has been supported by the scientific research project of Huangshan University under Grant No. 2011xkj007 and the Project of Anhui Provincial Educational Department of China under Grant No. KJ2011Z363.
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HU, XG., XIANG, J., JIAO, Z. et al. Boson bound states in the β-Fermi–Pasta–Ulam model. Pramana - J Phys 81, 839–848 (2013). https://doi.org/10.1007/s12043-013-0610-8
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DOI: https://doi.org/10.1007/s12043-013-0610-8