Hyperspherical Functions and Linear Representations of the Lorentz Group

Details Hyperspherical Functions and Linear Representations of the Lorentz Group Hyperspherical Functions and Linear Representations of the Lorentz Group

2002-05-09

arxiv.org/abs/math-ph/0205013v1

Hadronic J. 25 (2002) 481-508

Physics

Mathematical Physics

20 pages, LaTeX2e

Scientific paper

A double covering of the proper orthochronous Lorentz group is understood as a complexification of the special unimodular group of second order (a double covering of the 3-dimensional rotation group). In virtue of such an interpretation the matrix elements of finite-dimensional representations of the Lorentz group are studied in terms of hyperspherical functions. Different forms of the hyperspherical functions related to other special functions (hypergeometric series, generalized spherical functions, Jacobi functions, Appell functions) are considered. It is shown that there is a close relationship between hyperspherical functions and physical fields defined within $(j,0)\oplus(0,j)$ representation spaces. Recurrence relations between hyperspherical functions are given.

Affiliated with

Also associated with

No associations

Rating

Hyperspherical Functions and Linear Representations of the Lorentz 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 Hyperspherical Functions and Linear Representations of the Lorentz Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperspherical Functions and Linear Representations of the Lorentz Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-4602