Canonical, squeezed and fermionic coherent states in a right quaternionic Hilbert space with a left multiplication on it
Mathematical Physics
2017-06-23 v1 math.MP
Abstract
Using a left multiplication defined on a right quaternionic Hilbert space, we shall demonstrate that various classes of coherent states such as the canonical coherent states, pure squeezed states, fermionic coherent states can be defined with all the desired properties on a right quaternionic Hilbert space. Further, we shall also demonstrate squeezed states can be defined on the same Hilbert space, but the noncommutativity of quaternions prevents us in getting the desired results.
Keywords
Cite
@article{arxiv.1706.07299,
title = {Canonical, squeezed and fermionic coherent states in a right quaternionic Hilbert space with a left multiplication on it},
author = {K. Thirulogasanthar and B. Muraleetharan},
journal= {arXiv preprint arXiv:1706.07299},
year = {2017}
}
Comments
Conference paper. arXiv admin note: text overlap with arXiv:1704.02946; substantial text overlap with arXiv:1706.00686