World-line quantization of a reciprocally invariant system

DOI10.1088/1751-8113/40/40/006zbMath1158.81011arXiv0706.3736OpenAlexW2162726514MaRDI QIDQ5421371

S. O. Morgan, Peter D. Jarvis, Stephen G. Low, Jan Govaerts

Publication date: 22 October 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3736

zbMATH Keywords

Weyl-Heisenberg groupreciprocity principleextended Minkowski metricquaplectic groupWorld-line quantization

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Special relativity (83A05) Geometric quantization (53D50)

Related Items (8)

Time and energy operators in the canonical quantization of special relativity ⋮ SOME CONSEQUENCES OF BORN'S RECIPROCAL RELATIVITY IN PHASE-SPACES ⋮ On superluminal particles and the extended relativity theories ⋮ Projective representations of the inhomogeneous Hamilton group: noninertial symmetry in quantum mechanics ⋮ THE CLIFFORD SPACE GEOMETRY OF CONFORMAL GRAVITY AND U(4) × U(4) YANG–MILLS UNIFICATION ⋮ A cosmology of a trans-Planckian theory and dark energy ⋮ Inverse momentum expectation values for hydrogenic systems ⋮ Born reciprocity and the \(1/r\) potential

This page was built for publication: World-line quantization of a reciprocally invariant system