We give a new criterion for asymptotic completeness in Kümmerer- Maassen-scattering theory which is more directly in terms of the coupling. To this end we define the semigroup of dual extended transition operators. Asymptotic completeness holds if and only if this semigroup is ergodic. This may also be interpreted in terms of entanglement.
|Number of pages
|Infinite Dimensional Analysis, Quantum Probability and Related Topics
|Published - Jun 2004
- Absorbing state
- Transition operator