Time delay and short-range scattering in quantum waveguides

Details Time delay and short-range scattering in quantum waveguides Time delay and short-range scattering in quantum waveguides

2005-04-11

arxiv.org/abs/math-ph/0504037v1

Physics

Mathematical Physics

Scientific paper

10.1007/s00023-005-0243-7

Although many physical arguments account for using a modified definition of time delay in multichannel-type scattering processes, one can hardly find rigorous results on that issue in the literature. We try to fill in this gap by showing, both in an abstract setting and in a short-range case, the identity of the modified time delay and the Eisenbud-Wigner time delay in waveguides. In the short-range case we also obtain limiting absorption principles, state spectral properties of the total Hamiltonian, prove the existence of the wave operators and show an explicit formula for the S-matrix. The proofs rely on stationary and commutator methods.

Affiliated with

Also associated with

No associations

Rating

Time delay and short-range scattering in quantum waveguides 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 Time delay and short-range scattering in quantum waveguides, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time delay and short-range scattering in quantum waveguides will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350599