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arxiv: solv-int/9812004 · v1 · submitted 1998-12-03 · solv-int · nlin.SI

On Calogero wave functions

classification solv-int nlin.SI
keywords functionswavecalogerocalogero--moserexponentiallassallemodelsoperators
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Two properties of Calogero wave functions for rational Calogero models are studied: (i) the representation of the wave functions in terms of the exponential of Lassalle operators, (ii) the $sL(2,\rr)$ structure of the Calogero--Moser wave functions.

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    A deformed Calogero model accommodates unitary principal series states of sl(2,R) via operator domain changes, preserving unitarity and invariance while altering integrability, with solutions for N=2 and 3.