Concept
Hamiltonian mechanics
Related publications (117)
Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks
Nicolas Henri Bernard Flammarion, Hristo Georgiev Papazov, Scott William Pesme
In this work, we investigate the effect of momentum on the optimisation trajectory of gradient descent. We leverage a continuous-time approach in the analysis of momentum gradient descent with step size and momentum parameter that allows u ...
2024High-order geometric integrators for the variational Gaussian approximation
Jiri Vanicek, Roya Moghaddasi Fereidani
Among the single-trajectory Gaussian-based methods for solving the time-dependent Schrödinger equation, the variational Gaussian approximation is the most accurate one. In contrast to Heller’s original thawed Gaussian approximation, it is symplectic, conse ...
2023State-to-state surface scattering of methane studied by bolometric infrared laser tagging detection
State-to-state molecule/surface scattering experiments prepare the incident molecules in a specific quantum state and measure the quantum state distribution of the scattered molecules. The comparison of state resolved experiments with theory can serve as s ...
EPFL2022Einstein's quantum elevator: Hermitization of non-Hermitian Hamiltonians via a generalized vielbein formalism
The formalism for non-Hermitian quantum systems sometimes blurs the underlying physics. We present a systematic study of the vielbeinlike formalism which transforms the Hilbert space bundles of non-Hermitian systems into the conventional ones, rendering th ...
AMER PHYSICAL SOC2022