Green's function and scattering matrix in a discrete oscillator basis

Convenient analytic finite-dimensional approximations for basic operators o f scattering theory-specifically, the Green's function and the off-shell T matrix-are constructed in an oscillator basis for real- and complex-valued local and nonlocal interaction potentials. It is shown that the approximate operators converge smoothly to their exact counterparts as the dimensions of the oscillator basis are increased step by step. The simple and rather a ccurate formulas obtained in this study can be widely used in various appli cations of quantum scattering theory. (C) 2001 MAIK "Nauka/Interperiodica".