173 citations · 1.1k across the 96 of their papers we have counts for
5 papers · 1 filter
Quantum Dynamics in Noisy Backgrounds: from sampling to dissipation and fluctuations
O. Oliveira, W. de Paula, T. Frederico +1
We investigate the dynamics of a quantum system coupled linearly to Gaussian white noise using functional methods. By performing the integration over the noisy field in the evoluti…
Numerical Test of Born-Oppenheimer Approximation in Chaotic Systems
Jeong-Bo Shim, Mahir S. Hussein, Martina Hentschel
We study the validity of the Born-Oppenheimer approximation in chaotic dynamics. Using numerical solutions of autonomous Fermi accelerators, we show that the general adiabatic cond…
Canonical quantum potential scattering theory
M. S. Hussein, W. Li, S. Wuester
A new formulation of potential scattering in quantum mechanics is developed using a close structural analogy between partial waves and the classical dynamics of many non-interactin…
Semi-classical scattering in two dimensions
S. K. Adhikari, M. S. Hussein
The semi-classical limit of quantum-mechanical scattering in two dimensions (2D) is developed. We derive the Wentzel-Kramers-Brillouin and Eikonal results for 2D scattering. No bac…
Effect of symmetry breaking on level curvature distributions
M. S. Hussein, C. P. Malta, M. P. Pato +1
We derive an exact general formalism that expresses the eigenvector and the eigenvalue dynamics as a set of coupled equations of motion in terms of the matrix elements dynamics. Co…