Studying resonance in the complex charge plane

Details Studying resonance in the complex charge plane Studying resonance in the complex charge plane

2004-03-08

arxiv.org/abs/math-ph/0403010v1

J. Phys. A, 37.22 (2004) 5863-5871

Physics

Mathematical Physics

10 pages, 2 tables, 5 figures

Scientific paper

10.1088/0305-4470/37/22/011

Potential resonances are usually investigated either directly in the complex energy plane or indirectly in the complex angular momentum plane. Another formulation complementing these two is presented in this work. It is an indirect method which studies resonances in a complex charge plane (Z-plane). The complex scaling (rotation) method is employed in the development of this formulation. Bound states spectrum and resonance energies are mapped onto a discrete set of poles of a resolvent operator on the real line of the Z-plane. These poles move along trajectories as we vary the energy. A finite L2 basis is used in the numerical implementation of the method. Stability of poles and trajectories against variations in all computational parameters is demonstrated. Resonances for a given potential example are calculated and compared with those obtained elsewhere. In this presentation, modest effort will be devoted to mathematical rigor.

Affiliated with

Also associated with

No associations

Rating

Studying resonance in the complex charge plane 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 Studying resonance in the complex charge plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Studying resonance in the complex charge plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-316078