287 citations
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Showing 2023 · math-phShow all
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math-ph2023★ 1 cited
Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions
Jan Felipe van Diejen, Erdal Emsiz
Starting from the hyperoctahedral multivariate hypergeometric function of Heckman and Opdam (associated with the root system), we arrive -- via partial confluent limits in t…
math-ph2023★ 1 cited
Spectral analysis of an open -difference Toda chain with two-sided boundary interactions on the finite integer lattice
Jan Felipe van Diejen
A quantum -particle model consisting of an open -difference Toda chain with two-sided boundary interactions is placed on a finite integer lattice. The spectrum and eigenbasis…