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.
Received: 22 December 1994
Accepted manuscript online:
(Quantum optical phenomena in absorbing, amplifying, dispersive and conducting media; cooperative phenomena in quantum optical systems)
Fund: Project supported by the National Basic Research Project "Nonlinear Science" of China.
Cite this article:
DUAN LU-MING (段路明), GUO GUANG-CAN (郭光灿) CONSTRUCTION OF THE SOLITON STATES OF THE QUANTUM NONLINEAR SCHR?DINGER EQUATION 1995 Acta Physica Sinica (Overseas Edition) 4 649
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