Physics – Quantum Physics
Scientific paper
2006-03-20
J. Phys. A: Math. Gen. 39 (2006) 3981-4009
Physics
Quantum Physics
32 pages, 3 figures
Scientific paper
10.1088/0305-4470/39/15/009
The analytic continuation of the Lippmann-Schwinger bras and kets is obtained and characterized. It is shown that the natural mathematical setting for the analytic continuation of the solutions of the Lippmann-Schwinger equation is the rigged Hilbert space rather than just the Hilbert space. It is also argued that this analytic continuation entails the imposition of a time asymmetric boundary condition upon the group time evolution, resulting into a semigroup time evolution. Physically, the semigroup time evolution is simply a (retarded or advanced) propagator.
la Madrid Rafael de
No associations
LandOfFree
The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part II: The analytic continuation of the Lippmann-Schwinger bras and kets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part II: The analytic continuation of the Lippmann-Schwinger bras and kets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part II: The analytic continuation of the Lippmann-Schwinger bras and kets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-302736