Boltzmann/Gibbs distribution for a two level system interacting with a thermal reservoir does not follow from Schrodinger equation
Quantum Physics
2007-05-23 v2
Abstract
In this work, we consider a 2-state quantum system interacting with a thermal reservoir. By computing the long time limit of the probability for the system to be in the ground state according to the Schrodinger/Von Neumann equation, we reach a contradiction with the prediction of equilibrium statistical mechanics. The most likely explanation is that the Schrodinger equation is incomplete as a description of such systems, because the other assumptions made herein have a wider range of experimental support.
Keywords
Cite
@article{arxiv.quant-ph/0206120,
title = {Boltzmann/Gibbs distribution for a two level system interacting with a thermal reservoir does not follow from Schrodinger equation},
author = {Iuval Clejan},
journal= {arXiv preprint arXiv:quant-ph/0206120},
year = {2007}
}