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Boltzmann/Gibbs distribution for a two level system interacting with a thermal reservoir does not follow from Schrodinger equation

Iuval Clejan
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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.

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Iuval Clejan. 2004-09-10. Boltzmann/Gibbs distribution for a two level system interacting with a thermal reservoir does not follow from Schrodinger equation. https://arxiv.org/abs/quant-ph/0206120

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