Article Title

ON THE POINT SPECTRUM OF OPERATOR MATRIX COMIMG TO A A DIAGONALIZABLE MATRIX

Authors

Tulkin Khusenovich Rasulov, associate professor, can.phys.-math. BSU
Zarina Erkin kizi Mustafoeva, master student BSU

Abstract

It isconsidered herethediagonalizable operatormatrix . The essential and point spectrum of are described via the spectrum of the more simpler operator matrices. If the elements of a matrix are linear operators in Banach or Hilbert spaces, then it is called a block-operator matrix. One of the special classes of block operator matrices are the Hamiltonians of a system with a nonconserved number of quantum particles on an integer or noninteger lattice. The inclusion for the discrete spectrum of is established.

First Page

14

Last Page

19

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Recommended Citation

Rasulov, Tulkin Khusenovich and Mustafoeva, Zarina Erkin kizi (2020) "ON THE POINT SPECTRUM OF OPERATOR MATRIX COMIMG TO A A DIAGONALIZABLE MATRIX," Scientific reports of Bukhara State University: Vol. 3 : Iss. 4 , Article 4.
Available at: https://uzjournals.edu.uz/buxdu/vol3/iss4/4