Fermionic formulas for eigenfunctions of the difference toda hamiltonian

B. Feigin; E. Feigin; M. Jimbo; T. Miwa; E. Mukhin

doi:10.1007/s11005-009-0300-0

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 journal › Article › peer-review

13 Scopus citations

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.

Original language	English
Pages (from-to)	39-77
Number of pages	39
Journal	Letters in Mathematical Physics
Volume	88
Issue number	1-3
DOIs	https://doi.org/10.1007/s11005-009-0300-0
State	Published - Jun 2009
Externally published	Yes

Keywords

Difference Toda Hamiltonian
Fermionic formulas
Quantum groups

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10.1007/s11005-009-0300-0

Cite this

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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.",

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AB - 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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Fermionic formulas for eigenfunctions of the difference toda hamiltonian

Abstract

Keywords

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Correction to: Fermionic Formulas for Eigenfunctions of the Difference Toda Hamiltonian (Letters in Mathematical Physics, (2009), 88, 1-3, (39-77), 10.1007/s11005-009-0300-0)

Cite this

Fermionic formulas for eigenfunctions of the difference toda hamiltonian

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Related research output

Correction to: Fermionic Formulas for Eigenfunctions of the Difference Toda Hamiltonian (Letters in Mathematical Physics, (2009), 88, 1-3, (39-77), 10.1007/s11005-009-0300-0)

Cite this