Time operator for a quantum many-body system with SU(1,1) dynamical symmetry
Quantum Physics
2007-05-23 v1
Abstract
The time operator canonically conjugated to the Hamiltonian of interacting particles on the line is constructed using SU(1,1) as a dynamical symmetry. This hidden conformal symmetry enables us to make a group theoretic analysis of the time operator in terms of SU(1,1) generators. At distances very far from the interacting region the time operator is represented as a generalization of the quantum "time-of-arrival" operator.
Keywords
Cite
@article{arxiv.quant-ph/0302116,
title = {Time operator for a quantum many-body system with SU(1,1) dynamical symmetry},
author = {I. Andric and M. Martinis},
journal= {arXiv preprint arXiv:quant-ph/0302116},
year = {2007}
}
Comments
6 pages, LaTeX