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Results tagged with physics
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user 134299
For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
2
votes
Maxwell equations as Euler-Lagrange equation without electromagnetic potential
The actual number of degrees of freedom of the electromagnetic field is 2, per point in 3-dimensional space. One can see this starting from the formulation in terms of potentials, which feature 4 comp …
- 6,696
17
votes
Motivation and physical interpretation of the Laplace transform
The Laplace transform is the fundamental operation encoding the canonical ensemble in statistical mechanics. It converts the density of states $d(\varepsilon )$ (a non-statistical concept) into the ca …
- 6,696
15
votes
The Planck constant for mathematicians
To supplement the excellent answers previously given, some more remarks situated in the canonical quantization formalism, which is equivalent (at physicist level) to the path integral formalism referr …
- 6,696
4
votes
EM-wave equation in matter from Lagrangian
Expanding on Carlo Beenakker's comment, one can't just expect to substitute in a complex dielectric function to properly describe absorption. Rather, the relevant question is how to structure a Lagran …
- 6,696