4 papers · 1 filter
On the solutions of multicomponent generalizations of the Lam{é} equation
J. C. Barba, V. I. Inozemtsev
We describe a class of the singular solutions to the multicomponent analogs of the Lam{é} equation, arising as equations of motion of the elliptic Calogero--Moser systems of partic…
Analytic proof of the Sutherland conjecture
J. Dittrich, V. I. Inozemtsev
Using the integral representation of the inverse of the logarithmic derivative of the elliptic theta function, the spectrum of the Lax matrix for the 1D system of particles interac…
On the Ground State of Ferromagnetic Hamiltonians
J. Dittrich, V. I. Inozemtsev
It is generally believed that the ground state of the ferromagnetic Heisenberg-Dirac-Van Vleck Hamiltonians acting on s=1/2 spins of a lattice with N sites has the maximal possible…
Bethe-ansatz equations for quantum Heisenberg chains with elliptic exchange
V. I. Inozemtsev
The eigenvectors of the Hamiltonian of -sites quantum spin chains with elliptic exchange are connected with the double Bloch meromorphic solutions of the quantum…