Result: Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains
Title:
Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains
Authors:
Source:
Journal of Physics A: Mathematical and General. 37:6067-6089
Publication Status:
Preprint
Publisher Information:
IOP Publishing, 2004.
Publication Year:
2004
Subject Terms:
Quantum Physics, 81Q99,81V80, Atomic Physics (physics.atom-ph), FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Mathematical Physics (math-ph), 16. Peace & justice, 01 natural sciences, Hopf algebras (associative rings and algebras), Physics - Atomic Physics, Clifford algebras, spinors, 0103 physical sciences, Coherent states, 0101 mathematics, Quantum Physics (quant-ph), Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics
Document Type:
Academic journal
Article<br />Other literature type
File Description:
application/xml
ISSN:
1361-6447
0305-4470
0305-4470
DOI:
10.1088/0305-4470/37/23/008
DOI:
10.48550/arxiv.math-ph/0311042
Access URL:
Rights:
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....b408d10bbd70dcd2fef0b7484e8df255
Database:
OpenAIRE
Further Information
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.
30 pages