116 citations · 218 across the 8 of their papers we have counts for
8 papers
Hydrogen atom in crossed electric and magnetic fields: Phase space topology and torus quantization via periodic orbits
Stephan Gekle, Jörg Main, Thomas Bartsch +1
A hierarchical ordering is demonstrated for the periodic orbits in a strongly coupled multidimensional Hamiltonian system, namely the hydrogen atom in crossed electric and magnetic…
Uniform semiclassical approximations on a topologically non-trivial configuration space: The hydrogen atom in an electric field
T. Bartsch, J. Main, G. Wunner
Semiclassical periodic-orbit theory and closed-orbit theory represent a quantum spectrum as a superposition of contributions from individual classical orbits. Close to a bifurcatio…
Semiclassical Quantization by Harmonic Inversion: Comparison of Algorithms
T. Bartsch, J. Main, G. Wunner
Harmonic inversion techniques have been shown to be a powerful tool for the semiclassical quantization and analysis of quantum spectra of both classically integrable and chaotic dy…
Ghost orbit bifurcations in semiclassical spectra
T. Bartsch, J. Main, G. Wunner
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 with uniform approxi…
Decimation and Harmonic Inversion of Periodic Orbit Signals
J. Main, P. A. Dando, Dz. Belkic +1
We present and compare three generically applicable signal processing methods for periodic orbit quantization via harmonic inversion of semiclassical recurrence functions. In a fir…
Semiclassical Quantization by Pade Approximant to Periodic Orbit Sums
J. Main, P. A. Dando, Dz. Belkic +1
Periodic orbit quantization requires an analytic continuation of non-convergent semiclassical trace formulae. We propose a method for semiclassical quantization based upon the Pade…
Approach to ergodicity in quantum wave functions
Bruno Eckhardt, Shmuel Fishman, Jonathan Keating +3
According to theorems of Shnirelman and followers, in the semiclassical limit the quantum wavefunctions of classically ergodic systems tend to the microcanonical density on the ene…
Semiclassical form factor of matrix element fluctuations
Bruno Eckhardt, Joerg Main
We analyze within a semiclassical approximation the form factor for the fluctuations of quantum matrix elements around their classical average. We find two contributions: one is pr…