TY  - JOUR
A1  - Grawert, Gerald
A1  - Petzold, Joachim
T1  - Formale Mehrkanal-Streutheorie : eine Alternativ-Formulierung
T2  - Zeitschrift für Naturforschung, A
N2  - 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.
Y1  - 2014
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/74269
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-742698
SN  - 1865-7109
VL  - 15
IS  - 4
SP  - 311
EP  - 319
PB  - Verlag der Zeitschrift für Naturforschung
CY  - Tübingen
ER  -