Dilation analytic technique

Our current direction is to study dynamical processes in atomic and molecular two- and three-body systems. We use a technique which formally is based on the mathematical theory of dilation analytic functions. Numerically these results axe realized though a fully three-dimensional finite element method applied to a total angular-momentum representation. We here show how generalizations of our previously published two-body methods to three-body systems are possible without formal approximations. 

The Aquilar, Balslev, Combes and Simon (ABCS) theorems concerning spectrum of analytically dilated (complex rotated) Hamiltonians were published in the early seventies (1-3). They caused an explosive development of techniques using complex coordinates and their applications, which have been reviewed in numerous articles (4-13). 

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