Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(so_3)$

Details Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(so_3)$ Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(so_3)$

2006-12-04

arxiv.org/abs/math/0612087v1

J. Phys. A: Math. Gen. 40 (2007) 4181-4191

Mathematics

Quantum Algebra

13 pages

Scientific paper

10.1088/1751-8113/40/15/009

We define the elliptic quantum group $E_{\tau,\eta}(so_3)$ and the transfer
matrix corresponding to its simplest highest weight representation. We use
Bethe anstaz method to construct the creation operators as polynomials of the
Lax matrix elements expressed through a recurrence relation. We give common
eigenvectors and eigenvalues of the family of commuting transfer matrices.

Affiliated with

Also associated with

No associations

Rating

Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(so_3)$ 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 Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(so_3)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(so_3)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-649787