Pseudo-time Schroedinger equation with absorbing potential for quantum scattering calculations

Details Pseudo-time Schroedinger equation with absorbing potential for quantum scattering calculations Pseudo-time Schroedinger equation with absorbing potential for quantum scattering calculations

2001-01-05

arxiv.org/abs/physics/0101032v1

Physics

Chemical Physics

9 pages

Scientific paper

10.1103/PhysRevLett.86.5031

The Schroedinger equation with an energy-dependent complex absorbing potential, associated with a scattering system, can be reduced for a special choice of the energy-dependence to a harmonic inversion problem of a discrete pseudo-time correlation function. An efficient formula for Green's function matrix elements is also derived. Since the exact propagation up to time 2t can be done with only t real matrix-vector products, this gives an unprecedently efficient scheme for accurate calculations of quantum spectra for possibly very large systems.

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