Gundry J.M. Higher Symmetries of the Schrödinger Operator, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

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Speaker: James Gundry

Title: Higher Symmetries of the Schrödinger Operator

Abstract:
Eastwood proved that the higher symmetry operators of the Laplacian on Euclidean space are given by conformal Killing tensors. I will describe a non-relativistic analogue of this result, in which the higher symmetry operators of the free-particle Schrödinger operator are identified with the “Schrödinger-Killing" tensors of a Newton-Cartan spacetime.

Slides: Gundry J.M. Higher Symmetries of the Schrödinger Operator (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf