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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 146, Number 1, Pages 31–41
DOI: https://doi.org/10.4213/tmf2006 (Mi tmf2006) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Zero-Eigenvalue Eigenfunctions for Differences of Elliptic Relativistic Calogero–Moser Hamiltonians

S. Ruijsenaars

Centre for Mathematics and Computer Science
Full-text PDF (186 kB) Citations (18)
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DOI: https://doi.org/10.4213/tmf2006
Abstract: Letting $A_l(x)$ denote the commuting analytic difference operators of elliptic relativistic Calogero–Moser type, we present and study zero-eigenvalue eigenfunctions for the operators $A_l(x)-A_l(-y)$ ($l=1,2,\dots,N$, $x,y\in\mathbb C^N$) The eigenfunctions are products of elliptic gamma functions. They are invariant under permutations of $x_1,\dots,x_N$ and $y_1,\dots,y_N$ and under interchange of the step-size parameters.
Keywords: relativistic Calogero-Moser systems, joint eigenfunctions, elliptic functional equations, elliptic gamma function.
English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 1, Pages 25–33
DOI: https://doi.org/10.1007/s11232-006-0003-y
Bibliographic databases:
Language: Russian
Citation: S. Ruijsenaars, “Zero-Eigenvalue Eigenfunctions for Differences of Elliptic Relativistic Calogero–Moser Hamiltonians”, TMF, 146:1 (2006), 31–41; Theoret. and Math. Phys., 146:1 (2006), 25–33
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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