To the Spectral Theory of One-Dimensional Matrix Dirac Operators with Point Matrix Interactions
- Авторы: Budyka V.1, Malamud M.2, Posilicano A.3
-
Учреждения:
- Donetsk Academy of Management and Public Administration
- Peoples’ Friendship University of Russia (RUDN University)
- Università dell’Insubria
- Выпуск: Том 97, № 2 (2018)
- Страницы: 115-121
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225471
- DOI: https://doi.org/10.1134/S1064562418020047
- ID: 225471
Цитировать
Аннотация
We investigate one-dimensional (2p × 2p)-matrix Dirac operators DX,α and DX,β with point matrix interactions on a discrete set X. Several results of [4] are generalized to the case of (p × p)-matrix interactions with p > 1. It is shown that a number of properties of the operators DX,α and DX,β (self-adjointness, discreteness of the spectrum, etc.) are identical to the corresponding properties of some Jacobi matrices BX,α and BX,β with (p × p)-matrix entries. The relationship found is used to describe these properties as well as conditions of continuity and absolute continuity of the spectra of the operators DX,α and DX,β. Also the non-relativistic limit at the velocity of light c → ∞ is studied.
Об авторах
V. Budyka
Donetsk Academy of Management and Public Administration
Автор, ответственный за переписку.
Email: budyka.vik@gmail.com
Украина, Donetsk
M. Malamud
Peoples’ Friendship University of Russia (RUDN University)
Email: budyka.vik@gmail.com
Россия, Moscow, 117198
A. Posilicano
Università dell’Insubria
Email: budyka.vik@gmail.com
Италия, Como, 22100