Siegert-state expansion for nonstationary systems. II. The whole-axis problem

Journal Article · Sun Oct 15 04:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.042719· OSTI ID:20863908

Tolstikhin, Oleg I ^[1]

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1. Russian Research Center 'Kurchatov Institute', Kurchatov Square 1, Moscow 123182 (Russian Federation)

An extension of the recently proposed approach [O. I. Tolstikhin, Phys. Rev. A 73, 062705 (2006)] to the whole-axis problem is presented. Here, the motion in a one-dimensional time-dependent potential is considered. The solution to the time-dependent Schroedinger equation is expanded in terms of Siegert states. A set of coupled equations defining time evolution of the coefficients in the expansion is derived, in pseudodifferential and integral forms, and physical observables (probabilities of transitions to discrete states and the spectrum of ejected particles) are expressed in terms of these coefficients. The approach is implemented in terms of Siegert pseudostates and illustrated by calculations for a model system.

• OSTI ID: 20863908
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ENERGY LEVELS
ENERGY SPECTRA
EVOLUTION
EXPANSION
INTEGRAL EQUATIONS
MATHEMATICAL SOLUTIONS
ONE-DIMENSIONAL CALCULATIONS
POTENTIALS
PROBABILITY
SCHROEDINGER EQUATION
TIME DEPENDENCE