ELFT HÍRADÓ

[Balog Janos <balog.janos AT wigner.mta.hu>]

RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk



                                      Simon Ruijsenaars
                                    (University of Leeds)



             "A recursive construction of joint eigenfunctions for the 
commuting hyperbolic
                                Calogero-Moser Hamiltonians"


                címmel tartandó szemináriumára.


Kivonat:

We present a recursive scheme that yields an explicit diagonalisation   
of the hyperbolic N-particle Calogero-Moser quantum systems of 
nonrelativistic and relativistic type. For the nonrelativistic case, the 
first step of the scheme yields the well-known 2-particle eigenfunction, 
which amounts to a   specialization of the Gauss hypergeometric 
function. The work on the N>2 case (together with Martin Halln\"as)  
gives rise to an elementary representation of the joint eigenfunctions 
previously obtained (for root system A_{N-1}) by Heckman and Opdam. Last 
but not least, we briefly sketch a similar recursive construction for 
the joint eigenfunctions of the 2N commuting relativistic Calogero-Moser 
Hamiltonians.


Helye: Wigner FK RMI III.ép. Tanácsterem
Ideje: 2014. április 4. péntek du. 14:00 óra



Szívesen látunk minden érdeklődőt.
                                            Balog János