This article is cited in 6 papers

Finite-Dimensional Approximations for Scattering Theory Operators in the Wave-Packet Representation

V. I. Kukulin, O. A. Rubtsova

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: We consider some types of packet discretization for continuous spectra in quantum scattering problems. As we previously showed, this discretization leads to a convenient finite-dimensional (i.e. matrix) approximation for integral operators in the scattering theory and allows reducing the solution of singular integral equations connected with the scattering theory to some suitable purely algebraic equations on an analytic basis. All singularities are explicitly singled out. Our primary emphasis is on realizing the method practically.

Keywords: scattering theory, wave operator, wave packets, Green's function, discretization of continuum.

Received: 10.04.2003

DOI: 10.4213/tmf53

 English version: Theoretical and Mathematical Physics, 2004, 139:2, 693–705

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