5 papers
Exact results for the one-dimensional many-body problem with contact interaction: Including a tunable impurity
V. Caudrelier, N. Crampe
The one-dimensional problem of particles with contact interaction in the presence of a tunable transmitting and reflecting impurity is investigated along the lines of the coord…
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…
The quantum non-linear Schrodinger model with point-like defect
V. Caudrelier, M. Mintchev, E. Ragoucy
We establish a family of point-like impurities which preserve the quantum integrability of the non-linear Schrodinger model in 1+1 space-time dimensions. We briefly describe the co…
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…
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…