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AbstractAbstract
[en] It is proved that if the Schroedinger equation Lψ=λψ of Calogero-Moser-Sutherland type with L=-Δ+Σα(set-membership-sign)A-+[mα(mα+1)(α,α)/sin2(α,x)] has a solution of the product form ψ0= product α(set-membership-sign)A+ sin-mα(α,x), then the function F(x)=Σα(set-membership-sign)A+mα(α,x)2 log(α,x)2 satisfies the generalized WDVV equations. This explains the relation between these equations and the deformed CMS quantum problems observed in an earlier work [Phys. Lett. A 261, 297 (1999)]
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(c) 2002 American Institute of Physics.; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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