A q-deformed completely integrable Bose gas model

  title={A q-deformed completely integrable Bose gas model},
  author={Nikolay Bogoliubov and R. K. Bullough},
  journal={Journal of Physics A},
The authors construct the Hamiltonian of a new quantum integrable 'q-boson' lattice model in 1+1 dimensions which has q-bosons as dynamical variables and solve it for its energy eigenstates and energy eigenvalues under periodic boundary conditions of finite period. This model can be regarded as the q-deformation of the integrable lattice Bose gas (the quantum lattice nonlinear Schrodinger (quantum lattice NLS)) model. In appropriate continuum limits both of these lattice models become the… 
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