Jordan-Schwinger realizations of three-dimensional polynomial algebras

Details Jordan-Schwinger realizations of three-dimensional polynomial algebras Jordan-Schwinger realizations of three-dimensional polynomial algebras

2002-05-02

arxiv.org/abs/math-ph/0205005v2

Mod.Phys.Lett.A17:1559-1566,2002

Physics

Mathematical Physics

10 pages, LaTeX2e

Scientific paper

10.1142/S0217732302007454

A three-dimensional polynomial algebra of order $m$ is defined by the commutation relations $[P_0, P_\pm]$ $=$ $\pm P_\pm$, $[P_+, P_-]$ $=$ $\phi^{(m)}(P_0)$ where $\phi^{(m)}(P_0)$ is an $m$-th order polynomial in $P_0$ with the coefficients being constants or central elements of the algebra. It is shown that two given mutually commuting polynomial algebras of orders $l$ and $m$ can be combined to give two distinct $(l+m+1)$-th order polynomial algebras. This procedure follows from a generalization of the well known Jordan-Schwinger method of construction of $su(2)$ and $su(1,1)$ algebras from two mutually commuting boson algebras.

Affiliated with

Also associated with

No associations

Rating

Jordan-Schwinger realizations of three-dimensional polynomial algebras 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 Jordan-Schwinger realizations of three-dimensional polynomial algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jordan-Schwinger realizations of three-dimensional polynomial algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-232361