21 citations · 74 across the 15 of their papers we have counts for
15 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…
Radial power-like potentials: from the Bohr-Sommerfeld -state energies to the exact ones
J. C. del Valle, A. V. Turbiner
Following our previous study of the Bohr-Sommerfeld (B-S) quantization condition for one-dimensional case (del Valle \& Turbiner (2021) \cite{First}), we extend it to -dimension…
Two- and Three-Particle Complexes with Logarithmic Interaction: Compact Wave Functions for Two-Dimensional Excitons and Trions
J. C. del Valle, J. A. Segura Landa, D. J. Nader
Assuming a logarithmic interaction between constituent particles, compact and locally accurate wave functions that describe bound states of the two-particle neutral and three-parti…
Solving the One-Dimensional Time-Independent Schrödinger Equation with High Accuracy: The LagrangeMesh Mathematica Package
J. C. del Valle
In order to find the spectrum associated with the one-dimensional Schröodinger equation, we discuss the Lagrange Mesh method (LMM) and its numerical implementation for bound states…
Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. III. Spin-quartet state of the Lithium sequence
D. J. Nader, J. C. del Valle, J. C. Lopez Vieyra +1
As a continuation of Part I, dedicated to the ground state of He-like and Li-like isoelectronic sequences for nuclear charges , and Part II, dedicated to two excited sta…
From quartic anharmonic oscillator to double well potential
Alexander V. Turbiner, J. C. del Valle
It is already known that the quantum quartic single-well anharmonic oscillator and double-well anharmonic oscillator are essentia…
Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. II. Spin-singlet (excited) and spin-triplet (lowest) states of the Helium sequence
A. V. Turbiner, J. C. Lopez Vieyra, J. C. del Valle +1
As a continuation of Part I \cite{Part-1:2020} (Int. Journal of Quantum Chem. 2021; 121: qua.26586), dedicated to the ground state of He-like and Li-like isoelectronic sequences fo…
Power-like potentials: from the Bohr-Sommerfeld energies to exact ones
J. C. del Valle, Alexander V. Turbiner
For one-dimensional power-like potentials the Bohr-Sommerfeld Energies (BSE) extracted explicitly from the Bohr-Sommerfeld quantization condition are compared with t…
Two-body neutral Coulomb system in a magnetic field at rest: from Hydrogen atom to positronium
J. C. del Valle, A. V. Turbiner, Adrian M Escobar Ruiz
A simple locally accurate uniform approximation for the nodeless wavefunction is constructed for a {\it neutral} system of two Coulomb charges of different masses and $(…
Anharmonic oscillator: a solution
Alexander V Turbiner, Juan Carlos del Valle
It is shown that for the one-dimensional quantum anharmonic oscillator with potential the Perturbation Theory (PT) in powers of (weak coupling regime) and…
Radial Anharmonic Oscillator: Perturbation Theory, New Semiclassical Expansion, Approximating Eigenfunctions. II. Quartic and Sextic Anharmonicity Cases
J C del Valle, A V Turbiner
In our previous paper I (del Valle--Turbiner, Int. J. Mod. Phys. A34, 1950143, 2019) it was developed the formalism to study the general -dimensional radial anharmonic oscillato…