Structural invariance of the Schrödinger equation and chronoprojective geometry
- 1 February 1985
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (2), 292-299
- https://doi.org/10.1063/1.526657
Abstract
We describe an extension of the chronoprojective geometry and show how its automorphisms are related to the invariance properties of the Schrödinger equation describing a quantum test particle in any Newton–Cartan structure.Keywords
This publication has 8 references indexed in Scilit:
- Minimal gravitational coupling in the Newtonian theory and the covariant Schr dinger equationGeneral Relativity and Gravitation, 1984
- Chronoprojectlve Cartan Structures on Four-Dimensional ManifoldsPublications of the Research Institute for Mathematical Sciences, 1983
- Cartan structures on Galilean manifolds: The chronoprojective geometryJournal of Mathematical Physics, 1983
- Gravitation, geometry, and nonrelativistic quantum theoryPhysical Review D, 1980
- Covariant Newtonian limit of Lorentz space-timesGeneral Relativity and Gravitation, 1976
- Die Differentialgeometrie des Galileischen RelativitätsprinzipsMathematische Zeitschrift, 1964
- Theory of connectionsAnnali di Matematica Pura ed Applicata (1923 -), 1957
- On Connections Of CartanCanadian Journal of Mathematics, 1956