9 citations · 10 across the 4 of their papers we have counts for
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Self-adjoint quantization of Stäckel integrable systems
Jonathan M Kress, Vladimir Matveev
We show that quadratic Hamiltonians in involution coming from a Stäckel system are quantizable, in the sense that one can construct commutative self-adjoint operators whose symbols…
Conformal Killing tensors and their Killing scales
A. Rod Gover, Jonathan Kress, Thomas Leistner
We address the problem of how to characterise when a rank-two conformal Killing tensor is the trace-free part of a Killing tensor for a metric in the conformal class. We call such…
Superintegrable systems on conformal surfaces
Jonathan Kress, Konrad Schöbel, Andreas Vollmer
We reconsider non-degenerate second order superintegrable systems in dimension two as geometric structures on conformal surfaces. This extends a formalism developed by the authors,…
An Algebraic Geometric Foundation for a Classification of Superintegrable Systems in Arbitrary Dimension
Jonathan Kress, Konrad Schöbel, Andreas Vollmer
Second-order superintegrable systems in dimensions two and three are essentially classified. With increasing dimension, however, the non-linear partial differential equations emplo…