XXII WORKSHOP ON GEOMETRIC METHODS IN PHYSICS
29 JUNE - 5 JULY 2003, BIAŁOWIEŻA, POLAND
S. Twareque Ali - Quaternionic and Clifford algebraic coherent states
This talk will discuss some recent results on constructing
quaternionic and Clifford algebraic coherent states. This construction
generalizes, to matrix domains, the well known construction of coherent
states on complex domains. The resulting vector valued coherent states
have potentially interesting physical applications, especially in atomic
physics, e.g., in the study of the spectra of Jaynes-Cummings type of
Hamiltonians. The talk will also explore other theoretical aspects of
these vector coherent states, such as their relation to families of
orthogonal polynomials.