Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-05
Found.Phys.33:741-768,2003
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, invited talk at Zacatecas Forum in Physics 2002, Zacatecas, Mexico, May 2002. To appear in Found. of Physics
Scientific paper
10.1023/A:1025696823295
In this work we review the derivation of Dirac and Weinberg equations based on a ``principle of indistinguishability'' for the (j,0) and (0,j) irreducible representations (irreps) of the Homogeneous Lorentz Group (HLG). We generalize this principle and explore its consequences for other irreps containing spin >= 1. We rederive Ahluwalia-Kirchbach equation using this principle and conclude that it yields O(p^{2j}) equations of motion for any representation containing spin j and lower spins. We also use the obtained generators of the HLG for a given representation to explore the possibility of the existence of first order equations for that representation. We show that, except for j=1/2, there exists no Dirac-like equation for the (j,0)\oplus (0,j) representation nor for the (1/2,1/2) representation. We rederive Kemmer-Duffin-Petieau (KDP) equation for the (1,0)\oplus (1/2,1/2)\oplus(0,1) representation by this method and show that the (1,1/2)\oplus (1/2,1) representation satisfies a Dirac-like equation which describes a multiplet of j=3/2 and j=1/2 with masses m and m/2} respectively.
No associations
LandOfFree
"Principle of Indistinguishability" and equations of motion for particles with spin 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 "Principle of Indistinguishability" and equations of motion for particles with spin, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and "Principle of Indistinguishability" and equations of motion for particles with spin will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-702941