State-to-state transition probabilities for time-dependent Hamiltonians using complex absorbing potentials

Autor:	Ilya Vorobeichik, Nimrod Moiseyev
Rok vydání:	1998
Předmět:	Physics Work (thermodynamics) Scattering Linear system Degrees of freedom (statistics) State (functional analysis) Condensed Matter Physics Atomic and Molecular Physics and Optics Term (time) symbols.namesake Fourier transform Quantum mechanics symbols Statistical physics Event (probability theory)
Zdroj:	Journal of Physics B: Atomic, Molecular and Optical Physics. 31:645-656
ISSN:	1361-6455 0953-4075
DOI:	10.1088/0953-4075/31/4/015
Popis:	Earlier work has derived a new expression for the time-independent scattering probability for time-dependent Hamiltonians for cases where the motion is free at infinitely large times. Here we introduce a new technique which provides an efficient numerical algorithm for the calculation of multiphoton event probabilities based on using complex absorbing potentials along the scattering coordinate. The method is used allowing an analytical propagation of the initial state and avoiding long propagation times and accumulation of numerical errors. An iterative technique for the solution of non-Hermitian linear systems is used which allows us to tackle large time-dependent systems, both in internal degrees of freedom and in the number of Fourier components in the time-dependent potential term. A numerical example illustrating the usefulness of the theory is given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9674466bdee4771d78ceb20d7193b282 https://doi.org/10.1088/0953-4075/31/4/015 Zobrazit plný text záznamu