FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 2, PAGES 559-566

**Cook's method in the problem of the many-body Coulomb wave operator
convergence**

V. L. Shablov

V. A. Bilyk

Yu. V. Popov

Abstract

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The present work is devoted to the problem of existence of the
Coulomb wave operator.
Two- and three-body quantum systems of charged particles are under
investigation.
Using the effective charge technique we show that there exists a
number of equivalent integral equations for the three charged
particles scattering wave operator.

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Last modified: November 26, 2002