WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 22, 2023
Gaussian Quantum Systems and Kahler Geometrical Structure
Author: Mykola Yaremenko
Abstract: In this article, we study the phase-space distribution of the quantum state as a framework to describe the different properties of quantum systems in continuous-variable systems. The natural approach to quantum systems is given the Gaussian Wigner representation, to unify the description of bosonic and fermionic quantum states, we study the structure of the Kahler space geometry as the geometry generated by three forms under the agreement conditions depended on the nature of the state bosonic or fermionic. Multimode light is studied, and we established that the Fock space vacuum corresponds to a certain homogeneous Gaussian state.
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Keywords: Systems Theory, Wigner function, Fock space, Kahler space, photon, boson, fermion, Gaussian state, Maxwell equations
Pages: 160-169
DOI: 10.37394/23202.2023.22.15
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 22, 2023, Art. #15