10 citations · 29 across the 5 of their papers we have counts for
5 papers
The construction of trigonometric invariants for Weyl groups and the derivation of corresponding exactly solvable Sutherland models
Oliver Haschke, Werner Ruehl
Trigonometric invariants are defined for each Weyl group orbit on the root lattice. They are real and periodic on the coroot lattice. Their polynomial algebra is spanned by a basis…
An exactly solvable model of the Calogero type for the icosahedral group
Oliver Haschke, Werner Ruehl
We construct a quantum mechanical model of the Calogero type for the icosahedral group as the structural group. Exact solvability is proved and the spectrum is derived explicitly.
Is it possible to construct exactly solvable models?
Oliver Haschke, Werner Ruehl
We develop a constructive method to derive exactly solvable quantum mechanical models of rational (Calogero) and trigonometric (Sutherland) type. This method starts from a linear a…
Construction of exactly solvable quantum models of Calogero and Sutherland type with translation invariant four-particle interactions
Oliver Haschke, Werner Ruehl
We construct exactly solvable models for four particles moving on a real line or on a circle with translation invariant two- and four-particle interactions.
Exactly solvable dynamical systems in the neighborhood of the Calogero model
Oliver Haschke, Werner Ruehl
The Hamiltonian of the -particle Calogero model can be expressed in terms of generators of a Lie algebra for a definite class of representations. Maintaining this Lie algebra, i…