V. F. Kharchenko and S. A. Shadchin, “Three-Body Theory of the Effective Interaction between a Particle and a Two-Particle Bound System,” Institute for Theoretical Physics, ITP-93-24E, Kyiv, 1993.

has been cited by the following article:

• TITLE: Electric Multipole Polarizabilities of Quantum Bound Systems in the Transition Matrix Formalism

  AUTHORS: Vladyslav F. Kharchenko

  KEYWORDS: Electric Multipole Polarizabilities; Few-Body Quantum Systems; Hydrogen Atom

  JOURNAL NAME: Journal of Modern Physics, Vol.4 No.1, January 28, 2013

  ABSTRACT: A new general formalism for determining the electric multipole polarizabilities of quantum (atomic and nuclear) bound systems based on the use of the transition matrix in momentum space has been developed. As distinct from the conventional approach with the application of the spectral expansion of the total Green’s function, our approach does not require preliminary determination of the entire unperturbated spectrum; instead, it makes possible to calculate the polarizability of a few-body bound complex directly based on solving integral equations for the wave function of the ground bound state and the transition matrix at negative energy, both of them being real functions of momenta. A formula for the multipole polarizabilities of a two-body bound complex formed by a central interaction potential has been derived and studied. To test, the developed t-matrix formalism has been applied to the calculation of the dipole, quadrupole and octupole polarizabilities of the hydrogen atom.