21 citations · 74 across the 15 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
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…
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…