Physics – Mathematical Physics
Scientific paper
2011-02-19
Symmetry 3:16-36,2011
Physics
Mathematical Physics
LaTex 31 pages, 6 figures
Scientific paper
10.3390/sym3010016
Among the symmetries in physics, the rotation symmetry is most familiar to us. It is known that the spherical harmonics serve useful purposes when the world is rotated. Squeeze transformations are also becoming more prominent in physics, particularly in optical sciences and in high-energy physics. As can be seen from Dirac's light-cone coordinate system, Lorentz boosts are squeeze transformations. Thus the squeeze transformation is one of the fundamental transformations in Einstein's Lorentz-covariant world. It is possible to define a complete set of orthonormal functions defined for one Lorentz frame. It is shown that the same set can be used for other Lorentz frames. Transformation properties are discussed. Physical applications are discussed in both optics and high-energy physics. It is shown that the Lorentz harmonics provide the mathematical basis for squeezed states of light. It is shown also that the same set of harmonics can be used for understanding Lorentz-boosted hadrons in high-energy physics. It is thus possible to transmit physics from one branch of physics to the other branch using the mathematical basis common to them.
Kim Young S.
Noz Marilyn E.
No associations
LandOfFree
Lorentz Harmonics, Squeeze Harmonics, and their Physical Applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Lorentz Harmonics, Squeeze Harmonics, and their Physical Applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lorentz Harmonics, Squeeze Harmonics, and their Physical Applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-159491