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›› 2000, Vol. 17 ›› Issue (1): 20-25.

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Inverse Scattering Transfo Rm For The Quantum Nonlinear Schrodinger Model With Attractive Interaction

Zhao Bao-heng   

  1. Department of Physics, Graduate School, University of Science and Technology of China, Beijing 100039
  • Received:2000-10-27 Online:2000-01-15
  • Supported by:

    The project is supported by the special program of NSFC(19377103)

Abstract:

The system of the Gelfand-Levitan equations for the quantum nonlinear Schrodinger model with attractive interaction is obtained, in which we have avoided introducing ill-defined operators or operators depending on coordinate parameter as those in early works. The Heisenberg field operator of the nonlinear Schrodinger model is completely determined by the well-de-fined scattering data operators.

Key words: quantum nonlinear Schrodinger model, Gelfan-Levitan equations, bound states