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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Location: http://mech.math.msu.su/~fpm/eng/k02/k022/k02212t.htm.

Last modified: November 26, 2002