Abstract
A new alternative method for evaluating linear response theory is formally developed, and results are presented. This method involves the time evolution of the system using the time-dependent Hartree-Fock calculation and is constructed directly on top of a static Hartree-Fock calculation. By Fourier transforming the time-dependent result, the method extracts the response function and the total probability amplitude. This method allows for a coherent description of static properties of nuclei, such as binding energies and deformations, while also providing a method for calculating collective modes and reaction rates. A full three-dimensional cartesian basis-spline collocation representation is used with several Skyrme interactions. Sample results are presented for the giant multipole resonances of $^{16}\mathrm{O}$, $^{40}\mathrm{Ca}$, and $^{32}\mathrm{S}$ and compared to other calculations.
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