Exceptional points in quantum and classical dynamics

Details Exceptional points in quantum and classical dynamics Exceptional points in quantum and classical dynamics

2008-08-05

arxiv.org/abs/0808.0575v2

J.Phys.A42:095301,2009

Physics

Mathematical Physics

References added. Final version to be published in J. Phys. A

Scientific paper

10.1088/1751-8113/42/9/095301

We notice that, when a quantum system involves exceptional points, i.e. the special values of parameters where the Hamiltonian loses its self-adjointness and acquires the Jordan block structure, the corresponding classical system also exhibits a singular behaviour associated with restructuring of classical trajectories. The system with the crypto-Hermitian Hamiltonian H = (p^2+z^2)/2 -igz^5 and hyper-ellictic classical dynamics is studied in details. Analogies with supersymmetric Yang-Mills dynamics are elucidated.

Affiliated with

Also associated with

No associations

Rating

Exceptional points in quantum and classical dynamics 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 Exceptional points in quantum and classical dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exceptional points in quantum and classical dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-549853