Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian

Details Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian

2008-12-12

arxiv.org/abs/0812.2306v1

Mathematics

Quantum Algebra

33 pages

Scientific paper

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.

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