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Covariance and Uncertainty Principle for Dispersive Pulse Propagation.
- Source :
-
Axioms (2075-1680) . Apr2024, Vol. 13 Issue 4, p242. 15p. - Publication Year :
- 2024
-
Abstract
- We develop the concept of covariance for waves and show that it plays a fundamental role in understanding the evolution of a propagating pulse. The concept clarifies several issues regarding the spread of a pulse and the motion of the mean. Exact results are obtained for the time dependence of the covariance between position and wavenumber and the covariance between position and group velocity. We also derive relevant uncertainty principles for waves. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GROUP velocity
*WAVENUMBER
*HEISENBERG uncertainty principle
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 176874810
- Full Text :
- https://doi.org/10.3390/axioms13040242