Author： Blasi A. Scolarici G. Solombrino L.
Publisher： Springer Publishing Company
ISSN： 0011-4626
Source： Czechoslovak Journal of Physics, Vol.54, Iss.10, 2004-10, pp. : 1055-1059
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
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 an infinite-dimensional (right) quaternionic Hilbert space is proven. According to such results we obtain (and briefly discuss) 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.
Related content
Access to resources
Recommend
Supersymmetry Without Hermiticity
By Lévai Géza
Czechoslovak Journal of Physics, Vol. 54, Iss. 10, 2004-10 ,pp. :
On the similarity of quantum mechanical systems
Czechoslovak Journal of Physics, Vol. 56, Iss. 10-11, 2006-11 ,pp. :
Quantum Fluctuations in Nonlinear Systems
Acta Physica Hungarica A, Vol. 20, Iss. 1-2, 2004-01 ,pp. :
A representation theorem for quantum systems
By Dosi Anar
Functional Analysis and Its Applications, Vol. 47, Iss. 3, 2013-07 ,pp. :