3 papers
math.DG2025
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…
math.DG2024
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…
math.DG2024
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,…