Coherent state Quantization of quaternions
Mathematical Physics
2015-10-08 v3 math.MP
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.
Cite
@article{arxiv.1406.0028,
title = {Coherent state Quantization of quaternions},
author = {B. Muraleetharan and K. Thirulogasanthar},
journal= {arXiv preprint arXiv:1406.0028},
year = {2015}
}
Comments
19 pages