Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian
Quantum Algebra
2018-01-26 v2 Mathematical Physics
math.MP
Abstract
We use the Whittaker vectors and the Drinfeld Casimir element to show that eigenfunctions of the difference Toda Hamiltonian can be expressed via fermionic formulas. Motivated by the combinatorics of the fermionic formulas we use the representation theory of the quantum groups to prove a number of identities for the coefficients of the eigenfunctions.
Cite
@article{arxiv.0812.2306,
title = {Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian},
author = {B. Feigin and E. Feigin and M. Jimbo and T. Miwa and E. Mukhin},
journal= {arXiv preprint arXiv:0812.2306},
year = {2018}
}
Comments
33 pages, Latex