Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 43, Issue 7, Pages 3415-3424Publisher
AMER INST PHYSICS
DOI: 10.1063/1.1476952
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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 rho(H-0) the energy shift determines the outgoing state. (C) 2002 American Institute of Physics.
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