  We investigate T-matrix for bound and continuous-spectrum states in the
discrete oscillator representation. The investigation is carried out for a
model problem - the particle in the field of a central potential. A system of
linear equations is derived to determine the coefficients of the T-matrix
expansion in the oscillator functions. We selected four potentials (Gaussian,
exponential, Yukawa, and square-well ones) to demonstrate peculiarities of the
T-matrix and its dependence on the potential shape. We also study how the
T-matrix expansion coefficients depend on the parameters of the oscillator
basis such as the oscillator length and the number of basis functions involved
in calculations.
