Source identity and kernel functions for Inozemtsev-type systems

Details Source identity and kernel functions for Inozemtsev-type systems Source identity and kernel functions for Inozemtsev-type systems

2012-02-16

arxiv.org/abs/1202.3544v1

Physics

Mathematical Physics

24 pages, 1 figure

Scientific paper

The Inozemtsev Hamiltonian is an elliptic generalization of the differential operator defining the BC_N trigonometric quantum Calogero-Sutherland model, and its eigenvalue equation is a natural many-variable generalization of the Heun differential equation. We present kernel functions for Inozemtsev Hamiltonians and Chalykh-Feigin-Veselov-Sergeev-type deformations thereof. Our main result is a solution of a heat-type equation for a generalized Inozemtsev Hamiltonian which is the source for all these kernel functions. Applications are given, including a derivation of simple exact eigenfunctions and eigenvalues for the Inozemtsev Hamiltonian.

Affiliated with

Also associated with

No associations

Rating

Source identity and kernel functions for Inozemtsev-type systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Source identity and kernel functions for Inozemtsev-type systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Source identity and kernel functions for Inozemtsev-type systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125230