Alternative Descriptions in Quaternionic Quantum Mechanics
量子物理
2009-11-10 v1
摘要
We characterize the quasianti-Hermitian quaternionic operators in QQM by means of their spectra; moreover, we state a necessary and sufficient condition for a set of quasianti-Hermitian quaternionic operators to be anti-Hermitian with respect to a uniquely defined positive scalar product in a infinite dimensional (right) quaternionic Hilbert space. According to such results we obtain two alternative descriptions of a quantum optical physical system, in the realm of quaternionic quantum mechanics, while no alternative can exist in complex quantum mechanics, and we discuss some differences between them.
引用
@article{arxiv.quant-ph/0407158,
title = {Alternative Descriptions in Quaternionic Quantum Mechanics},
author = {A. Blasi and G. Scolarici and L. Solombrino},
journal= {arXiv preprint arXiv:quant-ph/0407158},
year = {2009}
}
备注
16 pages