Browsing Open Access Repositories by Author "Gundry, James"
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Higher symmetries of the Schrödinger operator in Newton–Cartan geometry
Gundry, James (ElsevierJournal of Geometry and Physics, 2016-06-17)We establish several relationships between the non-relativistic conformal symmetries of Newton–Cartan geometry and the Schrödinger equation. In particular we discuss the algebra sch(d) of vector fields conformally-preserving ...
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Non-relativistic twistor theory and Newton-Cartan geometry
Dunajski, Maciej Lukasz; Gundry, James (SpringerCommunications in Mathematical Physics, 2016-01-14)We develop a non-relativistic twistor theory, in which Newton-Cartan structures of Newtonian gravity correspond to complex three-manifolds with a four-parameter family of rational curves with normal bundle O ⊕ O(2). We ...