Time Evolution in Macroscopic Systems. I. Equations of Motion
Abstract
Time evolution of macroscopic systems is re-examined primarily through further analysis and extension of the equation of motion for the density matrix $\rho(t)$. Because $\rho$ contains both classical and quantum-mechanical 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 time-dependent classical probabilities is presented to illustrate the required type of extension to the conventional time-evolution 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:cond-mat/0303290
- Bibcode:
- 2004FoPh...34....1G
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 15 pages