Concept
Method of quantum characteristics
Related publications (25)
Efficient ab initio semiclassical dynamics for linear and nonlinear electronic spectroscopy
Molecular spectroscopy is an essential experimental technique in both fundamental physical sciences and applied research. For example, electronic spectroscopy, in which light induces a change in the electronic state of a molecule, is a powerful tool for st ...
EPFL2021Structure-Preserving Reduced Basis Methods For Poisson Systems
Jan Sickmann Hesthaven, Cecilia Pagliantini
We develop structure-preserving reduced basis methods for a large class of nondissipative problems by resorting to their formulation as Hamiltonian dynamical systems. With this perspective, the phase space is naturally endowed with a Poisson manifold struc ...
AMER MATHEMATICAL SOC2021Experimental studies of the equilibrium and out-of-equilibrium electronic structure of non-symmorphic topological materials
Symmetry and topology are fundamental properties of nature. Mathematics provides us with a general framework to understand these concepts. On one side, symmetry describes the invariance properties of an object for specific transformations. On the other sid ...
EPFL2020Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a State-dependent Poisson Structure
Jan Sickmann Hesthaven, Cecilia Pagliantini
We develop structure-preserving reduced basis methods for a large class of nondissipative problems by resorting to their formulation as Hamiltonian dynamical systems. With this perspective, the phase space is naturally endowed with a Poisson manifold struc ...
2018Managing Evolving Uncertainty in Trajectory Databases
Modern positioning technologies enable collecting trajectories from moving objects across different locations over time, typically containing time-varying measurement errors of positioning systems. Unfortunately, current models on uncertain trajectories ar ...
Ieee Computer Soc2014Initial or final values for semiclassical evolutions in the Weyl–Wigner representation
David Eduardo Zambrano Ramirez
Initial value representations are constructed to avoid the search for trajectories that are only defined in semiclassical approximations by their boundary conditions. We show how to incorporate these procedures within the full Weyl representation, so that ...
2013