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arXiv · 1406.0028

Coherent state Quantization of quaternions

B. Muraleetharan·K. Thirulogasanthar
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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 analysed. Quaternionic version of the harmonic oscillator and Weyl-Heisenberg algebra are also obtained.

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B. Muraleetharan, K. Thirulogasanthar. 2015-10-07. Coherent state Quantization of quaternions. https://doi.org/10.1063/1.4928934

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