Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group

Details Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group

2010-10-12

arxiv.org/abs/1010.2455v2

Annals Phys.326:1760-1774,2011

Physics

High Energy Physics

High Energy Physics - Theory

Typos corrected, references added

Scientific paper

10.1016/j.aop.2011.03.003

We consider non-relativistic electrons, each of the same charge to mass ratio, moving in an external magnetic field with an interaction potential depending only on the mutual separations, possibly confined by a harmonic trapping potential. We show that the system admits a "relativity group" which is a one-parameter family of deformations of the standard Galilei group to the Newton-Hooke group which is a Wigner-Inonu contraction of the de Sitter group. This allows a group-theoretic interpretation of Kohn's theorem and related results. Larmor's Theorem is used to show that the one-parameter family of deformations are all isomorphic. We study the "Eisenhart" or "lightlike" lift of the system, exhibiting it as a pp-wave. In the planar case, the Eisenhart lift is the Brdicka-Eardley-Nappi-Witten pp-wave solution of Einstein-Maxwell theory, which may also be regarded as a bi-invariant metric on the Cangemi-Jackiw group.

Affiliated with

Also associated with

No associations

Rating

Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group 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 Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-608891