Abstract
The Lie method and Noether's theorem are applied to the double wave equations for the correlation functions of statistical optics. Generalizations of the deterministic conservation laws are found and seen to correspond to the usual laws in the deterministic limit. The statistically stationary wave equations are shown to contain fewer symmetries than for the nonstationary case, so the corresponding conservation laws differ from the conservation laws of the nonstationary, two-time, wave equations.
| Original language | English (US) |
|---|---|
| Article number | 415207 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 41 |
| Issue number | 41 |
| DOIs | |
| State | Published - Oct 17 2008 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- General Physics and Astronomy
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