An efficient and accurate method to obtain the energy-dependent Green function for general potentials

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dc.creatorKramer, Tobias
dc.creatorHeller, Eric J.
dc.creatorParrott, Robert E.
dc.date2008-01-21
dc.date.accessioned2026-07-07T09:25:07Z
dc.date.available2026-07-07T09:25:07Z
dc.descriptionTime-dependent quantum mechanics provides an intuitive picture of particle propagation in external fields. Semiclassical methods link the classical trajectories of particles with their quantum mechanical propagation. Many analytical results and a variety of numerical methods have been developed to solve the time-dependent Schroedinger equation. The time-dependent methods work for nearly arbitrarily shaped potentials, including sources and sinks via complex-valued potentials. Many quantities are measured at fixed energy, which is seemingly not well suited for a time-dependent formulation. Very few methods exist to obtain the energy-dependent Green function for complicated potentials without resorting to ensemble averages or using certain lead-in arrangements. Here, we demonstrate in detail a time-dependent approach, which can accurately and effectively construct the energy-dependent Green function for very general potentials. The applications of the method are numerous, including chemical, mesoscopic, and atomic physics.
dc.description11 pages, to appear in the Journal of Physics: Conference Series "Time-dependent methods in Quantum Mechanics"
dc.identifierhttps://arxiv.org/abs/0801.3171
dc.identifierhttp://arxiv.org/abs/0801.3171
dc.identifierJ. Phys.: Conference Series, 99, 012010 (2008) [Open Access]
dc.identifierdoi:10.1088/1742-6596/99/1/012010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156299
dc.subjectMesoscale and Nanoscale Physics
dc.titleAn efficient and accurate method to obtain the energy-dependent Green function for general potentials
dc.typetext

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