Operator Analogy of Quantum Pseudo-Logic
- Авторлар: Matvejchuk M.1
-
Мекемелер:
- Kazan National Research Technical University
- Шығарылым: Том 39, № 1 (2018)
- Беттер: 104-113
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201026
- DOI: https://doi.org/10.1134/S1995080218010195
- ID: 201026
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
M. Matvejchuk
Kazan National Research Technical University
Хат алмасуға жауапты Автор.
Email: Marjan.Matvejchuk@yandex.ru
Ресей, ul. Karla Marksa 10, Kazan, 420111