An Arrow of Time Operator for Standard Quantum Mechanics
Quantum Physics
2008-02-19 v1
Abstract
We introduce a self-adjoint operator that indicates the direction of time within the framework of standard quantum mechanics. That is, as a function of time its expectation value decreases monotonically for any initial state. This operator can be defined for any system governed by a Hamiltonian with a uniformly finitely degenerate, absolutely continuous and semibounded spectrum. We study some of the operator's properties and illustrate them for a large equivalence class of scattering problems. We also discuss some previous attempts to construct such an operator, and show that the no-go theorems developed in this context are not applicable to our construction.
Cite
@article{arxiv.0802.2448,
title = {An Arrow of Time Operator for Standard Quantum Mechanics},
author = {Y. Strauss and J. Silman and S. Machnes and L. P. Horwitz},
journal= {arXiv preprint arXiv:0802.2448},
year = {2008}
}
Comments
5 pages, 2 figures