Structure, Time Propagation and Dissipative Terms for Resonances

Details Structure, Time Propagation and Dissipative Terms for Resonances Structure, Time Propagation and Dissipative Terms for Resonances

2007-11-07

arxiv.org/abs/0711.1073v3

J.Phys.A 41 (2008) 095302

Physics

Mathematical Physics

14 pages; LaTeX; minor changes

Scientific paper

10.1088/1751-8113/41/9/095302

For odd anharmonic oscillators, it is well known that complex scaling can be used to determine resonance energy eigenvalues and the corresponding eigenvectors in complex rotated space. We briefly review and discuss various methods for the numerical determination of such eigenvalues, and also discuss the connection to the case of purely imaginary coupling, which is PT-symmetric. Moreover, we show that a suitable generalization of the complex scaling method leads to an algorithm for the time propagation of wave packets in potentials which give rise to unstable resonances. This leads to a certain unification of the structure and the dynamics. Our time propagation results agree with known quantum dynamics solvers and allow for a natural incorporation of structural perturbations (e.g., due to dissipative processes) into the quantum dynamics.

Affiliated with

Also associated with

No associations

Rating

Structure, Time Propagation and Dissipative Terms for Resonances 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 Structure, Time Propagation and Dissipative Terms for Resonances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structure, Time Propagation and Dissipative Terms for Resonances will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-502545