Elliptic Integrable Systems Elliptic Integrable Systems of Calogero-moser Type: Some New Results on Joint Eigenfunctions
نویسندگان
چکیده
We present results on special eigenfunctions for differences of elliptic CalogeroMoser type Hamiltonians. We show that these results have a bearing on the existence of joint Hilbert space eigenfunctions for the commuting Hamiltonians.
منابع مشابه
Large N Limit of Integrable Models
We consider a large N limit of the Hitchin type integrable systems. The first system is the elliptic rotator on GLN that corresponds to the Higgs bundle of degree one over an elliptic curve with a marked point. This system is gauge equivalent to the N -body elliptic Calogero-Moser system, that is derived from the Higgs bundle of degree zero over the same curve. The large N limit of the former s...
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