Operator Analogy of Quantum Pseudo-Logic
- 作者: Matvejchuk M.1
-
隶属关系:
- Kazan National Research Technical University
- 期: 卷 39, 编号 1 (2018)
- 页面: 104-113
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201026
- DOI: https://doi.org/10.1134/S1995080218010195
- ID: 201026
如何引用文章
详细
In this paper, we study linear operators on real and complex Euclidean spaces which are real-orthogonal projections. It is a generalization of such standard (complex) orthogonal projections for which only the real part of scalar product vanishes. We note the difference between properties of real-orthogonal projections on real and on complex spaces. We can compare some partial order properties of orthogonal and of real-orthogonal projections. We prove that the set of all real-orthogonal projections in a finite-dimensional complex or real space is a quantum pseudo-logic.
作者简介
M. Matvejchuk
Kazan National Research Technical University
编辑信件的主要联系方式.
Email: Marjan.Matvejchuk@yandex.ru
俄罗斯联邦, ul. Karla Marksa 10, Kazan, 420111