Semiclassical interference of bifurcations
نویسندگان
چکیده
منابع مشابه
Semiclassical interference of bifurcations
– In semiclassical studies of systems with mixed phase space, the neighbourhood of bifurcations of co-dimension two is felt strongly even though such bifurcations are ungeneric in classical mechanics. We discuss a scenario which reveals this fact and derive the correct semiclassical contribution of the bifurcating orbits to the trace of the unitary time evolution operator. That contribution has...
متن کاملGhost Orbit Bifurcations in Semiclassical Spectra
Gutzwiller’s semiclassical trace formula for the density of states in a chaotic system diverges near bifurcations of periodic orbits, where it must be replaced by a modified one with uniform approximations. It is well known that, when applying these approximations, complex predecessors of orbits created in the bifurcation (“ghost orbits”) can produce clear signatures in the semiclassical spectr...
متن کاملBohmian versus semiclassical description of interference phenomena
The origin of quantum interference characteristic of bound nonlinear systems is investigated within the Bohmian formulation of time-dependent quantum mechanics. By contrast to time-dependent semiclassical theory, whereby interference is a consequence of phase mismatch between distinct classical trajectories, the Bohmian, fully quantum mechanical expression for expectation values has a quasiclas...
متن کاملSemiclassical analysis of the quantum interference corrections to the conductance of mesoscopic systems.
The Kubo formula for the conductance of a mesoscopic system is analyzed semiclassically, yielding simple expressions for both weak localization and universal conductance fluctuations. In contrast to earlier work which dealt with times shorter than O(log h̄), here longer times are taken to give the dominant contributions. For such long times, many distinct classical orbits may obey essentially th...
متن کامل/ 99 02 00 4 v 1 4 F eb 1 99 9 Significance of ghost orbit bifurcations in semiclassical spectra
Gutzwiller's trace formula for the semiclassical density of states in a chaotic system diverges near bifurcations of periodic orbits, where it must be replaced with uniform approximations. It is well known that, when applying these approximations, complex predecessors of orbits created in the bifurcation (" ghost orbits ") can produce pronounced signatures in the semiclassical spectra in the vi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 1997
ISSN: 0295-5075,1286-4854
DOI: 10.1209/epl/i1997-00262-4