Multi Matrix Vector Coherent States

Details Multi Matrix Vector Coherent States Multi Matrix Vector Coherent States

2003-08-29

arxiv.org/abs/math-ph/0308045v2

Ann. Physics. 314 (2004) 119-144.

Physics

Mathematical Physics

24 pages

Scientific paper

10.1016/j.aop.2004.07.006

A class of vector coherent states is derived with multiple of matrices as vectors in a Hilbert space, where the Hilbert space is taken to be the tensor product of several other Hilbert spaces. As examples vector coherent states with multiple of quaternions and octonions are given. The resulting generalized oscillator algebra is briefly discussed. Further, vector coherent states for a tensored Hamiltonian system are obtained by the same method. As particular cases, coherent states are obtained for tensored Jaynes-Cummings type Hamiltonians and for a two-level two-mode generalization of the Jaynes-Cummings model.

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