On Einstein Causality and Time Asymmetry in Quantum Physics
Quantum Physics
2009-11-10 v1
Abstract
A theorem of Hegerfeldt shows that if the spectrum of the Hamiltonian is bounded from below, then the propagation speed of certain probabilities does not have an upper bound. We prove a theorem analogous to Hegerfeldt's that appertains to asymmetric time evolutions given by a semigroup of operators. As an application, we consider a characterization of relativistic quasistable states by irreducible representations of the causal Poincare semigroup and study the implications of the new theorem for this special case.
Cite
@article{arxiv.quant-ph/0302056,
title = {On Einstein Causality and Time Asymmetry in Quantum Physics},
author = {S. Wickramasekara and A. Bohm},
journal= {arXiv preprint arXiv:quant-ph/0302056},
year = {2009}
}