On the Regular Coulomb Functions. The Coulomb T Matrix.

Autor: Giorgadze, Grigori, Jikia, Vagner
Předmět:
Zdroj: Bulletin of Tbilisi International Center of Mathematics & Informatics; 2024, Vol. 28 Issue 1, p23-31, 9p
Abstrakt: The two-particle regular Coulomb T-matrix of the continuous spectrum is described. It is rigorously shown that it exists in the sense of the generalized functions, and in the weak representation belongs to the set of Hilbert space functions. The above function satisfies the two-particle homogeneous integral equation of perturbation theory. Due to its simple analytic structure and the correct properties, the obtained function is expected to be very useful for studying the standard singular integral equations of the scattering theory of several charged particles. Our calculations are carried out within the complex analysis using the modern non-standard methods. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index