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math-ph2004
Spontaneous symmetry breaking in the non-linear Schrodinger hierarchy with defect
Vincent Caudrelier, Eric Ragoucy
We introduce and solve the one-dimensional quantum non-linear Schrodinger (NLS) equation for an N-component field defined on the real line with a defect sitting at the origin. The…
math-ph2003
Integrable N-particle Hamiltonians with Yangian or Reflection Algebra Symmetry
V. Caudrelier, N. Crampe
We use the Dunkl operator approach to construct one dimensional integrable models describing N particles with internal degrees of freedom. These models are described by a general H…
math-ph2003
Quantum resolution of the nonlinear super-Schrodinger equation
V. Caudrelier, E. Ragoucy
We introduce a Z_2-graded version of the nonlinear Schrodinger equation that includes one fermion and one boson at the same time. This equation is shown to possess a supersymmetry…