Scattering-theory sensitivity analysis for spatial Hamiltonian variations

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Abstract

An expression for the functional-derivative sensitivity density of the scattering matrix in parameter space is derived. This expression can be used to assess the effect on scattering observables of varying space-dependent quantities in the Hamiltonian (e.g., the interaction potential or the free-target portion of the Hamiltonian). This work represents the most general formulation of elementary sensitivity analysis for quantum scattering problems, and its use is demonstrated by a few sample calculations.

Original languageEnglish (US)
Pages (from-to)1059-1069
Number of pages11
JournalPhysical Review A
Volume29
Issue number3
DOIs
StatePublished - Jan 1 1984

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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