Construct a Massive Dirac Operator with a Number of Eigenvalues in a Continuous Spectrum

G’ulomovich, Rashidov Sardor; Ataxanovna, Yuldashova Hilola

Construct a Massive Dirac Operator with a Number of Eigenvalues in a Continuous Spectrum

Authors

G’ulomovich, Rashidov Sardor

Ataxanovna, Yuldashova Hilola

Publisher

"GLOBAL RESEARCH NETWORK" LLC

Description

A massive Dirac operator with a number of eigenvalues is constructed in the continuous spectrum, and sufficient conditions are found for this operator to belong to the space of coefficients. The dependence of the eigenvalues  of the mass Dirac operator on the continuous spectrum on the general boundary conditions is studied. for the following Dirac operator, which is self-contained in the space of vector functions      in the case of   ,   . the Weil – Titchmarch function, which satisfies the initial conditions, is defined as a single value.  The coefficients  of the operator are as follows   Found using the Gelfand-Levitan integral equation.

Keywords

Dirac operator, operator spectrum, discrete spectrum, continuous spectrum, Weil – Titchmarch function, Gelfand-Levitan integral equation, matrix function, Heveside function