by B. Muraleetharan, K. Thirulogasanthar
in J. Math. Phys. 56, 083510 (2015), http://dx.doi.org/10.1063/1.4928934
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. Associated upper symbols, lower symbols, and related quantities are analyzed. Quaternionic version of the harmonic oscillator and Weyl-Heisenberg algebra are also obtained.
Source: Email from journals_AT_aip-info.org, 16 Sept. 2015, http://scitation.aip.org/content/aip/journal/jmp/56/8/10.1063/1.4928934