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- Spherical_wave_transformation abstract "Spherical wave transformations leave the form of spherical waves as well as the laws of optics and electrodynamics invariant in all inertial frames. They correspond to the group of "transformations by reciprocal radii" or the conformal group as a part of Lie sphere geometry, which were already known in the 19th century. Spherical wave transformations were defined in 1909 by Harry Bateman and Ebenezer Cunningham, with Bateman giving the transformation its name. As in Minkowski space, time is used as the fourth dimension so they are similar to the Lorentz transformation of special relativity. It turns out that the conformal group includes the Lorentz group and the Poincaré group as subgroups, but only the latter represent symmetries of all laws of nature including mechanics, whereas the conformal group is only related to certain areas such as electrodynamics.A special case of Lie sphere geometry is the "transformation by reciprocal directions" or "Laguerre transformation", which are generators of the "Laguerre group". It transforms not only spheres into spheres but also planes into planes. If time is used as fourth dimension, a complete analogy to the Lorentz group was pointed out by several authors.".
- Spherical_wave_transformation wikiPageID "42475403".
- Spherical_wave_transformation wikiPageRevisionID "605930637".
- Spherical_wave_transformation subject Category:Equations.
- Spherical_wave_transformation subject Category:History_of_physics.
- Spherical_wave_transformation subject Category:Special_relativity.
- Spherical_wave_transformation subject Category:Spheres.
- Spherical_wave_transformation comment "Spherical wave transformations leave the form of spherical waves as well as the laws of optics and electrodynamics invariant in all inertial frames. They correspond to the group of "transformations by reciprocal radii" or the conformal group as a part of Lie sphere geometry, which were already known in the 19th century. Spherical wave transformations were defined in 1909 by Harry Bateman and Ebenezer Cunningham, with Bateman giving the transformation its name.".
- Spherical_wave_transformation label "Kugelwellentransformation".
- Spherical_wave_transformation label "Spherical wave transformation".
- Spherical_wave_transformation sameAs Kugelwellentransformation.
- Spherical_wave_transformation sameAs m.010f89dt.
- Spherical_wave_transformation sameAs Q16320247.
- Spherical_wave_transformation sameAs Q16320247.
- Spherical_wave_transformation wasDerivedFrom Spherical_wave_transformation?oldid=605930637.
- Spherical_wave_transformation isPrimaryTopicOf Spherical_wave_transformation.