39 citations · 128 across the 16 of their papers we have counts for
16 papers
On the solution to the separated equation in the 3-particle Calogero-Moser problem
N. G. Inozemtseva, J. Dittrich, V. I. Inozemtsev
We propose the exact solution of the equation in separated variable which appears in the process of constructing solutions to the quantum Calogero-Moser three-particle problem with…
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…
The Commutativity of Integrals of Motion for Quantum Spin Chains and Elliptic Functions Identities
J. Dittrich, V. I. Inozemtsev
We prove the commutativity of the first two nontrivial integrals of motion for quantum spin chains with elliptic form of the exchange interaction. We also show thair linear indepen…
Integrable Models of Interaction of Matter with Radiation
Vladimir I. Inozemtsev, Natalia G. Inozemtseva
The simplified models of interaction of charged matter with resonance modes of radiation generalizing the well-known Jaynes-Cummings and Dicke models are considered. It is found th…
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 Integrability of Classical Ruijsenaars-Schneider Model of Type
V. I. Inozemtsev, R. Sasaki
The problem of finding most general form of the classical integrable relativistic models of many-body interaction of the type is considered. In the simplest nontrivial cas…