The Time-Evolution of States in Quantum Mechanics
Quantum Physics
2021-01-05 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
It is argued that the Schr\"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Schr\"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics. This law eliminates the infamous "measurement problem." Our general results are illustrated by an analysis of simple models describing a very heavy atom coupled to the quantized radiation field in a limit where the speed of light tends to infinity. The discussion of these models is the main subject of our paper.
Cite
@article{arxiv.2101.01044,
title = {The Time-Evolution of States in Quantum Mechanics},
author = {Jürg Fröhlich and Alessandro Pizzo},
journal= {arXiv preprint arXiv:2101.01044},
year = {2021}
}
Comments
46 pages, 1 figure