NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2012, 3 (6), P. 16–24
ON INFINITE NUMBER OF NEGATIVE EIGENVALUES OF THE FRIEDRICHS MODEL
Yu.Kh. Eshkabilov – National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan, mechanical-mathematical faculty, Doctor of sciences in physics and mathematics, professor, email@example.com
The discrete spectrum of a self-adjoint operator in the framework of the Friedrichs model with a positive symmetrical kernel is studied in this paper. Sufficient conditions for the existence of infinite number of negative eigenvalues in the framework of the Friedrichs model are described.
Keywords: Friedrichs model, spectra, essential spectrum, discrete spectrum.