BIERMAN-SCHWINGER PRINCIPLE FOR A SINGLE MODEL PARTIAL-INTEGRAL OPERATOR

Authors

  • I. N. Khairullaev Termez State University

Keywords:

integral operators, Biermann Schwinger principle

Abstract

The article deals with a model operator consisting of a set of two special integral operators. Important spectra of the model operator K. The BiermannSchwinger principle is proved for the operator K, i.e. the number of eigenvalues to the left of the number of the operator K is equal to the number of eigenvalues greater than 1 for some compact operators

References

Reed M., Simon B., Methods of Modern Mathematical Physics. M.: Mir. 1977, 1, Functional Analysis.

S.N.. Lakaev, I.N. Khairullaev "Completeness of the system of eigenvectors of the model operator of several particles"Reportsofthe demiya of sciences of the Republic of Uzbekistan«Fan» Nashriyoti Toshkent. 2001.

I.N.Xairullaev " Spectrum and result of the gamiltonian of one system with an unpreserved limited number of particles"

Uzbek Mathematical Journal 6, 1999, 70-78

Sobolev A.V.: The Efimov effect. Discrete asymptotics, Commun .Math. Phys. 156 (1993), 127-168.

M.E.Muminov. On the expression of the number of eigenvalues of the Friedrichs model. Mathematical Notes, Vol. 82, 2007, No. 1, pp. 75-83.

Downloads

Published

2021-12-27

How to Cite

I. N. Khairullaev. (2021). BIERMAN-SCHWINGER PRINCIPLE FOR A SINGLE MODEL PARTIAL-INTEGRAL OPERATOR. European Journal of Humanities and Educational Advancements, 2(12), 132-135. Retrieved from https://scholarzest.com/index.php/ejhea/article/view/1658

Issue

Vol. 2 No. 12 (2021): EJHEA

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.