Fermionic formulas for eigenfunctions of the difference toda hamiltonian

B. Feigin*, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)39-77
Number of pages39
JournalLetters in Mathematical Physics
Issue number1-3
StatePublished - Jun 2009
Externally publishedYes


  • Difference Toda Hamiltonian
  • Fermionic formulas
  • Quantum groups


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