An exactly solvable spin chain related to Hahn polynomials.
Fermionic basis in conformal field theory and thermodynamic Bethe ansatz for excited states.
Flatland position-dependent-mass: polar coordinates, separability and exact solvability.
Solitons and Gibbs Measures for Nonlinear Schrödinger Equations
We review some recent results concerning Gibbs measures for nonlinear Schrödinger equations (NLS), with implications for the theory of the NLS, including stability and typicality of solitary wave structures. In particular, we discuss the Gibbs measures of the discrete NLS in three dimensions, where there is a striking phase transition to soliton-like behavior.
Supersymmetrical separation of variables in two-dimensional quantum mechanics.
Universal low temperature asymptotics of the correlation functions of the Heisenberg chain.