Abstract:
Parallel to the quantization of the complex plane, using the canonical coherent states
of a right quaternionic Hilbert space, quaternion field of quaternionic quantum mechanics is quantized
and using the quantization the position and momentum operators are obtained by us in [1]. In this
article, we show that the right quaternionic canonical coherent states saturate the Heisenberg
uncertainty relation and thereby they form a set of intelligent states and also we show that they are a
set of minimum uncertainty states.
