Quantum-mechanical deflection function

Joachim Herb, Petra Meerwald, Michael J. Moritz, Harald Friedrich

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


The classical deflection function for scattering by a radially symmetric potential corresponds to twice the angular momentum derivative of the scattering phase shifts calculated in the conventional WKB approximation. A “quantum-mechanical deflection function” defined as twice the angular momentum derivative of the quantum-mechanical phase shifts (without WKB approximation) is able to incorporate into the simple trajectory picture certain quantum aspects of the scattering process, e.g., the influence of the Goos-Hänchen shift. We demonstrate the performance of this quantum-mechanical deflection function for sharp-edged and smooth-edged two-dimensional scattering potentials.

Original languageEnglish
Pages (from-to)853-860
Number of pages8
JournalPhysical Review A
Issue number2
StatePublished - 1999


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