104 citations · 717 across the 51 of their papers we have counts for
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hep-th1994★ 3 cited
Quantum Isomonodromic Deformations and the Knizhnik--Zamolodchikov Equations
John Harnad
Viewing the Knizhnik--Zamolodchikov equations as multi--time, nonautonomous Shrödinger equations, the transformation to the Heisenberg representation is shown to yield the quantum…
hep-th1994★ 18 cited
--Matrix Construction of Electromagnetic Models for the Painlevé Transcendents
J. Harnad, M. Routhier
The Painlevé transcendents $P_{\rom{I}}$--$P_{\rom{V}}$ and their representations as isomonodromic deformation equations are derived as nonautonomous Hamiltonian systems from the c…
hep-th1994★ 13 cited
Hyperspherical Harmonics, Separation of Variables and the Bethe Ansatz
J. Harnad, P. Winternitz
The relation between solutions to Helmholtz's equation on the sphere and the $[{\gr sl}(2)]^n$ Gaudin spin chain is clarified. The joint eigenfuctions of the Laplacian an…