Vector Coherent States from Plancherel's Theorem, Clifford Algebras and Matrix Domains

Details Vector Coherent States from Plancherel's Theorem, Clifford Algebras and Matrix Domains Vector Coherent States from Plancherel's Theorem, Clifford Algebras and Matrix Domains

2003-11-24

arxiv.org/abs/math-ph/0311042v1

Physics

Mathematical Physics

30 pages

Scientific paper

10.1088/0305-4470/37/23/008

As a substantial generalization of the technique for constructing canonical and the related nonlinear and q-deformed coherent states, we present here a method for constructing vector coherent states in the same spirit. These vector coherent states may have a finite or an infinite number of components. As examples we first apply the technique to construct vector coherent states using the Plancherel isometry for groups and vector coherent states associated to Clifford algebras, in particular quaternions. As physical examples, we discuss vector coherent states for a quantum optical model and finally apply the general technique to build vector coherent states over certain matrix domains.

Affiliated with

Also associated with

No associations

Rating

Vector Coherent States from Plancherel's Theorem, Clifford Algebras and Matrix Domains 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 Vector Coherent States from Plancherel's Theorem, Clifford Algebras and Matrix Domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vector Coherent States from Plancherel's Theorem, Clifford Algebras and Matrix Domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-20173