11 citations · 28 across the 4 of their papers we have counts for
5 papers · 1 filter
Normal forms and uniform approximations for bridge orbit bifurcations
Ken-ichiro Arita, Matthias Brack
We discuss various bifurcation problems in which two isolated periodic orbits exchange periodic ``bridge'' orbit(s) between two successive bifurcations. We propose normal forms whi…
Anomalous shell effect in the transition from a circular to a triangular billiard
Ken-ichiro Arita, Matthias Brack
We apply periodic orbit theory to a two-dimensional non-integrable billiard system whose boundary is varied smoothly from a circular to an equilateral triangular shape. Although th…
Transcritical bifurcations in non-integrable Hamiltonian systems
Matthias Brack, Kaori Tanaka
We report on transcritical bifurcations of periodic orbits in non-integrable two-dimensional Hamiltonian systems. We discuss their existence criteria and some of their properties u…
Reply to a Comment by J. Bolte, R. Glaser and S. Keppeler on: Semiclassical theory of spin-orbit interactions using spin coherent states
M. Pletyukhov, Ch. Amann, M. Mehta +1
We reply to a Comment on our recently proposed semiclassical theory for systems with spin-orbit interactions.
Semiclassical description of shell effects in finite fermion systems
Matthias Brack
Since its first appearance in 1971, Gutzwiller's trace formula has been extended to systems with continuous symmetries, in which not all periodic orbits are isolated. In order to a…