Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle

  • In this paper,we propose a new quantum derivative nonlinear Schrdinger model for spin-12 particles.With the help of Lax operator,we construct the monodromy matrix.It is shown that the monodromy matrix satisfies Yang-Baxter equation.Infinite conserved quantities can be obtained by expanding the monodromy matrix repecting to the spectrum parameter.
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ZHAO Xiu-Mei, CAO Li-Ke, YANG Tao and YUE Rui-Hong. Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle[J]. Chinese Physics C, 2004, 28(9): 936-940.
ZHAO Xiu-Mei, CAO Li-Ke, YANG Tao and YUE Rui-Hong. Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle[J]. Chinese Physics C, 2004, 28(9): 936-940. shu
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Received: 2004-01-15
Revised: 1900-01-01
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Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle

    Corresponding author: ZHAO Xiu-Mei,
  • Institute of Modern Physics,Northwest University,Xi'an 710069,China

Abstract: In this paper,we propose a new quantum derivative nonlinear Schrdinger model for spin-12 particles.With the help of Lax operator,we construct the monodromy matrix.It is shown that the monodromy matrix satisfies Yang-Baxter equation.Infinite conserved quantities can be obtained by expanding the monodromy matrix repecting to the spectrum parameter.

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