|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Spatial contraction of the Poincare group and Maxwell's equations in the electric limit | | H.T. Reich
; S. Wickramasekara
; | | Date: |
26 Jan 2010 | | Abstract: | The contraction of the Poincare group with respect to the space trans-
lations subgroup gives rise to a group that bears a certain duality relation to
the Galilei group, that is, the contraction limit of the Poincare group with
respect to the time translations subgroup. In view of this duality, we call the
former the dual Galilei group. A rather remarkable feature of the dual Galilei
group is that the time translations constitute a central subgroup. Therewith,
in unitary irreducible representations (UIR) of the group, the Hamiltonian
appears as a Casimir operator proportional to the identity H = EI, with E (and
a spin value s) uniquely characterizing the representation. Hence, a physical
system characterized by a UIR of the dual Galilei group displays no non-trivial
time evolution. Moreover, the combined U(1) gauge group and the dual Galilei
group underlie a non- relativistic limit of Maxwell’s equations known as the
electric limit. The analysis presented here shows that only electrostatics is
possible for the electric limit, wholly in harmony with the trivial nature of
time evolution governed by the dual Galilei group. | | Source: | arXiv, 1001.4819 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER