中国物理B ›› 1995, Vol. 4 ›› Issue (9): 649-662.doi: 10.1088/1004-423X/4/9/002

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CONSTRUCTION OF THE SOLITON STATES OF THE QUANTUM NONLINEAR SCHR?DINGER EQUATION

段路明, 郭光灿   

  1. Department of Physics, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:1994-12-22 出版日期:1995-09-20 发布日期:1995-09-20
  • 基金资助:
    Project supported by the National Basic Research Project "Nonlinear Science" of China.

CONSTRUCTION OF THE SOLITON STATES OF THE QUANTUM NONLINEAR SCHR?DINGER EQUATION

DUAN LU-MING (段路明), GUO GUANG-CAN (郭光灿)   

  1. Department of Physics, University of Science and Technology of China, Hefei 230026, China
  • Received:1994-12-22 Online:1995-09-20 Published:1995-09-20
  • Supported by:
    Project supported by the National Basic Research Project "Nonlinear Science" of China.

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摘要： The quantum nonlinear schr?dinger equation (QNSE) is exactly solved by Beth's ansatz method and we give a reasonable definition of the quantum soliton states. From the definition we construct the soliton states of the QNSE from its bound-state solutions. The dispersion effect of the quantum soliton is also exactly analysed.

Abstract: The quantum nonlinear schr$\ddot{o}$dinger equation (QNSE) is exactly solved by Beth's ansatz method and we give a reasonable definition of the quantum soliton states. From the definition we construct the soliton states of the QNSE from its bound-state solutions. The dispersion effect of the quantum soliton is also exactly analysed.

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
42.81.Dp (Propagation, scattering, and losses; solitons) 42.50.Nn (Quantum optical phenomena in absorbing, amplifying, dispersive and conducting media; cooperative phenomena in quantum optical systems)