Muraleetharan + Thirulogasanthar: Coherent state quantization of quaternions

by B. Muraleetharan, K. Thirulogasanthar
in J. Math. Phys. 56, 083510 (2015),

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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, 16 Sept. 2015,


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