Innovations in Science and Technologies Том 2 № 3 (2025) · с. 816-822

ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE

Alladustov, Shukhrat

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Аннотация

We study essential spectrum of a matrix operator ℍ, that describes three particles interacting in the direct sum of certain subspaces of the Fock space. It is shown that the essential spectrum of this operator lies in the real axis and is described as a union of segments. Moreover, we establish the maximum for number of segments.

Schrödinger operatorFock spacechannel operatorsspectrumeigenvalue

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APA 7 
Alladustov, Shukhrat (2025). ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE. Innovations in Science and Technologies, 2(3), 816-822.
GOST R 7.0.5 
Alladustov, Shukhrat ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE // Innovations in Science and Technologies. 2025. Т. 2. № 3. С. 816-822.
BibTeX 
@article{shukhrat2025,
  author  = {Alladustov, Shukhrat},
  title   = {ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE},
  journal = {Innovations in Science and Technologies},
  year    = {2025},
  volume  = {2},
  number  = {3},
  pages   = {816-822}
}
RIS 
TY  - JOUR
AU  - Alladustov, Shukhrat
TI  - ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE
JO  - Innovations in Science and Technologies
PY  - 2025
VL  - 2
IS  - 3
SP  - 816
EP  - 822
ER  -