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From the generalized Morse potential to a unified treatment of the D-dimensional singular harmonic oscillator and singular Coulomb potentials
(Springer, 2016-10-01)
Bound-state solutions of the singular harmonic oscillator and singular Coulomb potentials in arbitrary dimensions are generated in a simple way from the solutions of the one-dimensional generalized Morse potential. The ...
An approach to ladder operators for the two-dimensional harmonic oscillatorAn approach to ladder operators for the two-dimensional harmonic oscillator
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2008)
Regularity of the Schrödinger equation for the harmonic oscillator
(Springer, 2011-10)
We consider the Schrödinger equation for the harmonic oscillator i∂tu=Hu, where H=-Δ+{pipe}x{pipe}2, with initial data in the Hermite-Sobolev space H-s/2L2(ℝn). We obtain smoothing and maximal estimates and apply these to ...
Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator
(World Scientific Publ Co Pte Ltd, 2014)
On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
(American Institute of Physics (AIP), 2009-12-01)
The fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag-Leffler noise. The solution of this FGLE is discussed ...
On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
(American Institute of Physics (AIP), 2009-12-01)
The fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag-Leffler noise. The solution of this FGLE is discussed ...
Revisiting the quantum harmonic oscillator via unilateral Fourier transforms
(2015-11-09)
The literature on the exponential Fourier approach to the one-dimensional quantum harmonic oscillator problem is revised and criticized. It is shown that the solution of this problem has been built on faulty premises. The ...
Ladder Operators for the Spherical 3D Harmonic Oscillator
(Sociedade Brasileira de Física, 2020-12-21)
The Schrödinger equation for an isotropic three-dimensional harmonic oscillator is solved using ladder operators. The starting point is the shape invariance condition, obtained from supersymmetric quantum mechanics. ...
Locally Linearized methods for the simulation of stochastic oscillators driven by random forces
(Springer, 2017-03)
In this work, the performance of Locally Linearized integrators for the numerical simulation of stochastic oscillators driven by random forces is studied. This includes the reproduction of a number of dynamical properties ...
On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
(American Institute of Physics (AIP), 2014)