Time-energy coherent states and adiabatic scattering

J. E. Avron, A. Elgart, G. M. Graf, L. Sadun

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

Coherent states in the time-energy plane provide a natural basis to study adiabatic scattering. We relate the (diagonal) matrix elements of the scattering matrix in this basis with the frozen on-shell scattering data. We describe an exactly solvable model, and show that the error in the frozen data cannot be estimated by the Wigner time delay alone. We introduce the notion of energy shift, a conjugate of Wigner time delay, and show that for incoming state ρ(H0) the energy shift determines the outgoing state.

Original languageEnglish
Pages (from-to)3415-3424
Number of pages10
JournalJournal of Mathematical Physics
Volume43
Issue number7
DOIs
StatePublished - 1 Jul 2002
Externally publishedYes

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