Manifestations of classical phase space structures in quantum mechanics
O Bohigas, S Tomsovic, D Ullmo - Physics Reports, 1993 - Elsevier
Using two coupled quartic oscillators for illustration, the quantum mechanics of simple
systems whose classical analogs have varying degrees of non-integrability is investigated …
systems whose classical analogs have varying degrees of non-integrability is investigated …
The theory of two-electron atoms: between ground state and complete fragmentation
Since the first attempts to calculate the helium ground state in the early days of Bohr-
Sommerfeld quantization, two-electron atoms have posed a series of unexpected …
Sommerfeld quantization, two-electron atoms have posed a series of unexpected …
Quantum chaos
HJ Stöckmann - Quantum Chaos, 2007 - ui.adsabs.harvard.edu
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Quantum Chaos Stöckmann, Hans-Jürgen Abstract Preface; 1. Introduction; 2. Billiard …
Quantum Chaos Stöckmann, Hans-Jürgen Abstract Preface; 1. Introduction; 2. Billiard …
Chaos-assisted tunneling
S Tomsovic, D Ullmo - Physical Review E, 1994 - APS
We discuss and give evidence for the existence of a new mechanism for quantum dynamical
tunneling. It may occur when a quantum system's underlying classical dynamics are far from …
tunneling. It may occur when a quantum system's underlying classical dynamics are far from …
Semiclassical quantization of multidimensional systems
EB Bogomolny - Nonlinearity, 1992 - iopscience.iop.org
The solution of a stationary k-dimensional Schrodinger equation H Psi= E Psi in the
semiclassical limit h (cross) to 0 is reduced to a discrete (k-1)-dimensional quantum map …
semiclassical limit h (cross) to 0 is reduced to a discrete (k-1)-dimensional quantum map …
Long-time semiclassical dynamics of chaos: The stadium billiard
S Tomsovic, EJ Heller - Physical Review E, 1993 - APS
Abstract In a recent Letter [Phys. Rev. Lett. 67, 664 (1991)] we found semiclassical
propagation to be remarkably accurate in the chaotic stadium billiard long after classical fine …
propagation to be remarkably accurate in the chaotic stadium billiard long after classical fine …
Semiclassical propagation for multidimensional systems by an initial value method
KG Kay - The Journal of chemical physics, 1994 - pubs.aip.org
A semiclassical initial value technique for wave function propagation described by Herman
and Kluk [Chem. Phys. 91, 27 (1984)] is tested for systems with two degrees of freedom. It is …
and Kluk [Chem. Phys. 91, 27 (1984)] is tested for systems with two degrees of freedom. It is …
The Van Vleck formula, Maslov theory, and phase space geometry
RG Littlejohn - Journal of Statistical Physics, 1992 - Springer
Abstract The Van Vleck formula is an approximate, semiclassical expression for the quantum
propagator. It is the starting point for the derivation of the Gutzwiller trace formula, and …
propagator. It is the starting point for the derivation of the Gutzwiller trace formula, and …
Quantum‐chaotic scattering effects in semiconductor microstructures
We show that classical chaotic scattering has experimentally measurable consequences for
the quantum conductance of semiconductor microstructures. These include the existence of …
the quantum conductance of semiconductor microstructures. These include the existence of …
Semiclassical quantization of chaotic billiards: a scattering theory approach
E Doron, U Smilansky - Nonlinearity, 1992 - iopscience.iop.org
The authors derive a semiclassical secular equation which applies to quantized (compact)
billiards of any shape. Their approach is based on the fact that the billiard boundary defines …
billiards of any shape. Their approach is based on the fact that the billiard boundary defines …