Time Evolution in Macroscopic Systems. I. Equations of Motion
Abstract
Time evolution of macroscopic systems is reexamined primarily through further analysis and extension of the equation of motion for the density matrix $\rho(t)$. Because $\rho$ contains both classical and quantummechanical probabilities it is necessary to account for changes in both in the presence of external influences, yet standard treatments tend to neglect the former. A model of timedependent classical probabilities is presented to illustrate the required type of extension to the conventional timeevolution equation, and it is shown that such an extension is already contained in the definition of the density matrix.
 Publication:

Foundations of Physics
 Pub Date:
 January 2004
 DOI:
 10.1023/B:FOOP.0000012007.06843.ed
 arXiv:
 arXiv:condmat/0303290
 Bibcode:
 2004FoPh...34....1G
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 15 pages