scholarly journals Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains

2004 ◽  
Vol 37 (23) ◽  
pp. 6067-6089 ◽  
Author(s):  
S Twareque Ali ◽  
Miroslav Engli ◽  
Jean-Pierre Gazeau
Keyword(s):  
Coherent States ◽  
Clifford Algebras ◽  
Matrix Domains ◽  
Plancherel’S Theorem ◽  
Vector Coherent States

scholarly journals Vector coherent states on Clifford algebras

2005 ◽  
Vol 143 (1) ◽  
pp. 494-504 ◽  
Author(s):  
K. Thirulogasanthar ◽  
A. L. Hohou�to
Keyword(s):  
Coherent States ◽  
Clifford Algebras ◽  
Vector Coherent States

scholarly journals A class of vector coherent states defined over matrix domains

2003 ◽  
Vol 44 (11) ◽  
pp. 5070-5083 ◽  
Author(s):  
K. Thirulogasanthar ◽  
S. Twareque Ali
Keyword(s):  
Coherent States ◽  
Matrix Domains ◽  
Vector Coherent States

scholarly journals Quaternionic vector coherent states for spin-orbit interactions

2013 ◽  
Vol 7 ◽  
pp. 253-275
Author(s):  
Isiaka Aremua ◽  
Mahouton Norbert Hounkonnou ◽  
Ezinvi Baloitcha
Keyword(s):  
Coherent States ◽  
Spin Orbit ◽  
Spin Orbit Interactions ◽  
Vector Coherent States

Quaternionic vector coherent states and the supersymmetric harmonic oscillator

2006 ◽  
Vol 149 (1) ◽  
pp. 1366-1381 ◽  
Author(s):  
K. Thirulogasanthar ◽  
A. Krzyżak ◽  
Q. D. Katatbeh
Keyword(s):  
Harmonic Oscillator ◽  
Coherent States ◽  
Vector Coherent States

VECTOR COHERENT STATES AND NON-ABELIAN GAUGE STRUCTURES IN QUANTUM MECHANICS

1990 ◽  
Vol 05 (22) ◽  
pp. 4311-4331 ◽  
Author(s):  
G. GIAVARINI ◽  
E. ONOFRI
Keyword(s):  
Quantum Mechanics ◽  
Lie Group ◽  
Coherent States ◽  
Quantum Systems ◽  
Semisimple Lie Group ◽  
Abelian Gauge ◽  
Geometric Properties ◽  
Generalized Coherent States ◽  
Abelian Case ◽  
Vector Coherent States

We set the general formalism for calculating Berry's phase in quantum systems with Hamiltonian belonging to the algebra of a semisimple Lie group of any rank in the framework of generalized coherent states. Within this approach the geometric properties of Berry's connection are also studied, both in the Abelian and non-Abelian cases. In particular we call attention to the non-Abelian case where we make use of a vectorial generalization of coherent states. In this respect a thorough and self-contained exposition of the formalism of vector coherent states is given. The specific examples of the groups SU(3) and Sp(2) are worked out in detail.

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