A direct calculation of the free energy from the Bethe ansatz equation for the Heisenberg model. Abstract Thermodynamics of the XXX Heisenberg model is studied. The trace of the Boltz-mann weight with respect to the Hilbert space is taken in the thermodynamic limit with the number of up-spins being fixed. The expression of the trace gives an explanation why the correct thermodynamic quantities ...

I introduce two family of exactly solvable models for multiatomic heteronuclear and homo-nuclear molecular Bose-Einstein condensates through the algebraic Bethe ansatz method. The conserved quantities of the respective models are also showed.

The thermodynamic Bethe ansatz method is employed for the study of the integrable critical RSOS(q1, q2; q) model. The high and low temperature behavior are investigated, and the central charge of the effective conformal field theory is derived.

An integrable version of the supersymmetric t-J model which is quantum group invariant as well as periodic is introduced and analysed in detail. The model is solved through the algebraic nested Bethe ansatz method. ∗e-mail: [email protected]

In this paper, two solitary wave solutions are obtained for the Coupled Klein-Gordon-Schrodinger and Coupled quadratic nonlinear equations by the ansatz method. Both topological and non-topological solitary wave solutions are obtained.

This paper studies the Biswas-Milovic equation with log law nonlinearity. The Gausson solution is obtained by the ansatz method. Subsequently, the conservation laws are derived and the conserved quantities are computed using the Gausson solution.

We use bethe ansatz method to analyze the TASEP models with focus on particle dependent jump rate case and obtain a formula for marginal distribution. We also consider discrete time version of the TASEP on a ring.

Abstract The virtual element method has been developed over the last decade and applied to problems in solid mechanics. Different formulations have used regarding order of ansatz, stabilization a wide range including elastic inelastic materials fracturing processes. This paper is concerned with elements for higher gradient theories solids using possibility, inherent methods, formulating C 1 -co...

We give a method to solve the time-dependent Schrödinger equation for a system of one-dimensional bosons interacting via a repulsive delta function potential. The method uses the ideas of Bethe Ansatz but does not use the spectral theory of the associated Hamiltonian.