111 citations · 487 across the 34 of their papers we have counts for
15 papers · 1 filter
On spectrum of the harmonic Kronig-Penney model
J. Gibbons, A. P. Veselov
We study the spectral properties of the harmonic modification of the quantum mechanical Kronig-Penney model motivated by the theory of the dressing chain. In particular, we show th…
Harmonic locus and Calogero-Moser spaces
Giovanni Felder, Alexander P. Veselov
We study the harmonic locus consisting of the monodromy-free Schrödinger operators with rational potential and quadratic growth at infinity. It is known after Oblomkov that it can…
On deformation and classification of V-systems
V. Schreiber, A. P. Veselov
The V-systems are special finite sets of covectors which appeared in the theory of the generalized Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. Several families of V-system…
Jack-Laurent symmetric functions for special values of parameters
A. N. Sergeev, A. P. Veselov
We consider the Jack--Laurent symmetric functions for special values of parameters p_0=n+k^{-1}m, where k is not rational and m and n are natural numbers. In general, the coefficie…
Dunkl operators at infinity and Calogero-Moser systems
A. N. Sergeev, A. P. Veselov
We define the Dunkl and Dunkl-Heckman operators in infinite number of variables and use them to construct the quantum integrals of the Calogero-Moser-Sutherland problems at infinit…
Baker-Akhiezer functions and generalised Macdonald-Mehta integrals
M. V. Feigin, M. A. Hallnas, A. P. Veselov
For the rational Baker-Akhiezer functions associated with special arrangements of hyperplanes with multiplicities we establish an integral identity, which may be viewed as a genera…