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Using a left multiplication defined on a right quaternionic Hilbert space, weshall demonstrate that various classes of coherent states such as the canonicalcoherent states, pure squeezed states, fermionic coherent states can be definedwith all the desired properties on a right quaternionic Hilbert space. Further,we shall also demonstrate squeezed states can be defined on the same Hilbertspace, but the noncommutativity of quaternions prevents us in getting thedesired results.

Canonical, squeezed and fermionic coherent states in a right quaternionic Hilbert space with a left multiplication on it