Relativistic Quantum Frames

Author: Ali S.T.   Antoine J.P.   Gazeau J.P.  

Publisher: Elsevier

ISSN: 0003-4916

Source: Annals of Physics, Vol.222, Iss.1, 1993-02, pp. : 38-88

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

The general theory of frames, analyzed mathematically in the preceeding paper, is applied hereto the problem of quantizing a classical system. Frames provide a method of quantization which generalizes the coherent state approach and fits neatly with the operational meaning of quantum measurements. Next, concrete examples of quantum frames, each generated by a single vector (the "quantum probe") are constructed, for three different relativities-Galilei, Poincaré, and anti-deSitter-and their mutual relationship, in terms of group contraction, is explored.