Comparison between Geometric Quantisation and Covariant Quantum Mechanics

2000/03/24 by M. Modugno, C. Tejero Prieto, R. Vitolo
Physics and Astronomy · Mathematics · #math-ph #math.DG #math.MP #msc:81S10 #msc:53D50

paper · pdf

published as Proc. of Lie Theory and Its Appl. in Physics III, Clausthal 1999; (World Scientific, 2000), ed. H.-D. Doebner, V.K. Dobrev and J. Hilgert · 21 pages, AMSLaTeX 2.0, AMSfonts, hyperref; no figures. Proc. of Lie Theory and Its Appl. in Physics III, Clausthal 1999

arxiv created 2000/03/24 · arxiv updated 2009/11/30

Abstract

We compare the covariant formulation of Quantum Mechanics on a curved spacetime fibred on absolute time with the standard Geometric Quantisation.

Related

• A covariant approach to the quantisation of a rigid body
• Geometric Calculus and the Fibre Bundle description of Quantum Mechanics
• Quantization of Gravity: Yet Another Way
• Locally covariant quantum field theory
• Quantum Mechanics in Curved Configurational Space