Functional Treatment of Quantum Scattering via the Dynamical Principle

A careful functional treatment of quantum scattering is given using Schwinger's dynamical principle which involves a functional differentiation operation applied to a generating functional written in closed form. For long range interactions, such as for the Coulomb one, it is shown that this ex...

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Veröffentlicht in:Progress of theoretical and experimental physics 2006-11, Vol.116 (5), p.795-801
Hauptverfasser: Manoukian, E. B., Sukkhasena, S.
Format: Artikel
Sprache:eng
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Zusammenfassung:A careful functional treatment of quantum scattering is given using Schwinger's dynamical principle which involves a functional differentiation operation applied to a generating functional written in closed form. For long range interactions, such as for the Coulomb one, it is shown that this expression may be used to obtain explicitly the asymptotic "free" modified Green function near the energy shell.
ISSN:0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.116.795