5 papers
Time-Dependent Logarithmic Perturbation Theory for Quantum Dynamics: Formulation and Applications
Juan Carlos del Valle, Paul Bergold, Karolina Kropielnicka
We present a time-dependent extension of logarithmic perturbation theory for nonrelativistic quantum dynamics governed by the Schrödinger equation, in which the logarithm of the wa…
Estimating the Accuracy of the Variational Energy: The Hydrogen Atom in a Magnetic Field as an Illustration
J. C. del Valle
For a hydrogen atom subject to a constant magnetic field, we report a numerical realization of the two-dimensional Non-Linearization Procedure (NLP) to estimate the accuracy of the…
R-matrix with time-dependence calculations for three-sideband RABBITT in helium
A. T. Bondy, J. C. del Valle, S. Saha +4
Following up on a recent paper [Bharti et al., Phys. Rev. A 109 (2024) 023110], we compare the predictions from severalR-matrix with time-dependence calculations for a modified thr…
High-Order Harmonic Generation in Helium: A Comparison Study
A. T. Bondy, S. Saha, J. C. del Valle +4
We report a detailed study of high-order harmonic generation (HHG) in helium. When comparing predictions from a single-active-electron model with those from all-electron simulation…
Second-order exponential splittings in the presence of unbounded and time-dependent operators: construction and convergence
Karolina Kropielnicka, Juan Carlos del Valle
For linear differential equations of the form , , with a possibly unbounded operator , we construct and deduce error bounds for two families of se…