Formale Mehrkanal-Streutheorie : eine Alternativ-Formulierung
- An alternative formulation is presented of the formal theory of multi-channel scattering in nonrelativistic quantum mechanics. We start by defining spaces of state vectors, where two particles either stay together or separate in the limit t →+∞ (or — ∞), when the state vector develops in time by e–i H t (H is the complete Hamiltonian of the n-particle system). A channel is defined as a space of state vectors with the following property: Developing in time by e-i H t they asymptotically describe a state of the n-particle system, where the particles are grouped in fragments. Defining a Hamiltonian Hγ for each channel, in which—compared to H—the interactions acting between particles from different fragments are missing, it is physically plausible that lim eiH e—iHt Ψ exists for vectors Ψ in the channel. Having discussed the limit vectors (asymptotic states), the S-matrix formalism can be introduced as usual. Finally the introduction of the exclusion principle is discussed.
Author: | Gerald GrawertGND, Joachim PetzoldGND |
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URN: | urn:nbn:de:hebis:30:3-742698 |
DOI: | https://doi.org/10.1515/zna-1960-0406 |
ISSN: | 1865-7109 |
Parent Title (German): | Zeitschrift für Naturforschung, A |
Publisher: | Verlag der Zeitschrift für Naturforschung |
Place of publication: | Tübingen |
Document Type: | Article |
Language: | German |
Date of Publication (online): | 2014/06/02 |
Year of first Publication: | 1960 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2023/06/21 |
Volume: | 15 |
Issue: | 4 |
Page Number: | 9 |
First Page: | 311 |
Last Page: | 319 |
HeBIS-PPN: | 510717098 |
Institutes: | Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung 3.0 |