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8 papers · 1 filter
Fiber fans and toric quotients
Alastair Craw, Diane Maclagan
The GIT chamber decomposition arising from a subtorus action on a quasiprojective toric variety is a polyhedral complex. Denote by Sigma the fan that is the cone over the polyhedra…
The variable phase method used to calculate and correct scattering lengths
H. Ouerdane, M. J. Jamieson, D. Vrinceanu +1
It is shown that the scattering length can be obtained by solving a Riccati equation derived from variable phase theory. Two methods of solving it are presented. The equation is us…
A note on the calculation of the effective range
H. Ouerdane, M. J. Jamieson
The closed form of the first order non-linear differential equation that is satisfied by the effective range within the variable phase formulation of scattering theory is discussed…
Scattering parameters for cold-Li-Rb and Na-Rb collisions derived from variable phase theory
H. Ouerdane, M. J. Jamieson
We show how the scattering phase shift, the s-wave scattering length and the p-wave scattering volume can be obtained from Riccati equations derived in variable phase theory. We fi…
A remark on rational Cherednik algebras and differential operators on the cyclic quiver
Iain Gordon
We show that the spherical subalgebra of the rational Cherednik algebra associated to the wreath product of a symmetric group and a cyclic group is isomorphic to a quotient of the…
Rational Cherednik algebras and diagonal coinvariants of G(m,p,n)
Richard Vale
We construct a quotient ring of the ring of diagonal coinvariants of the complex reflection group and determine its graded character. This generalises a result of Gord…