A new class of semiclassical wave function uniformizations
arXiv:nlin/0101055 · doi:10.1103/PhysRevE.64.026215
Abstract
We present a new semiclassical technique which relies on replacing complicated classical manifold structure with simpler manifolds, which are then evaluated by the usual semiclassical rules. Under circumstances where the original manifold structure gives poor or useless results semiclassically the replacement manifolds can yield remarkable accuracy. We give several working examples to illustrate the theory presented here.
12 pages (incl. 12 figures)
Cited by in corpus (9)
- Semiclassical evaluation of quantum fidelity
- Dephasing representation: Employing the shadowing theorem to calculate quantum correlation functions
- Fast Frequency-domain Waveforms for Spin-Precessing Binary Inspirals
- Gravitational Waveforms for Precessing, Quasi-circular Binaries via Multiple Scale Analysis and Uniform Asymptotics: The Near Spin Alignment Case
- Graphics processing units accelerated semiclassical initial value representation molecular dynamics
- Beating the efficiency of both quantum and classical simulations with semiclassics
- Uniform semiclassical wave function for coherent 2D electron flow
- The survival probability and the local density of states for one-dimensional Hamiltonian systems
- Quantization Ambiguity, Ergodicity, and Semiclassics