Quantum Hexaspherical Observables for Electrons

Details Quantum Hexaspherical Observables for Electrons Quantum Hexaspherical Observables for Electrons

1999-05-27

arxiv.org/abs/quant-ph/9905093v1

Annalen Phys. 9 (2000) 589-604

Physics

Quantum Physics

9 pages

Scientific paper

10.1002/1521-3889(200009)9:8<589

A new quantum algebraic description of relativistic electrons, built on a conformal dynamical symmetry (SO(4,2)), has recently been proposed to treat localization in space-time. It is shown here that localization of an electron may be represented by components of a SO(4,2) vector which are quantum generalizations of the hexaspherical coordinates of classical projective geometry. The shift of this vector under transformations to uniformly accelerated frames is described by SO(4,2) rotations. Hexaspherical observables also allow one to represent the quantum law of free fall under a form explicitly compatible with the same dynamical symmetry.

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