9 citations · 24 across the 12 of their papers we have counts for
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Applications of the Numerov method to simple quantum systems using Python
Francisco Caruso, Vitor Oguri, Felipe Silveira
Numerov's numerical method is developed in a didactic way by using Python in its {\it Jupyter Notebook} version 6.0.3 for three different quantum physical systems: the hydrogen ato…
Non-relativistic solutions for three-body molecules within a Chern-Simons model
Francisco Caruso, Vitor Oguri, Felipe Silveira +1
The wave functions and the ground state energies for the bound states of four different muonic and electronic molecules, governed by the Chern-Simons potential in two spatial dimen…
Solving two-dimensional non-relativistic electronic and muonic atoms governed by Chern-Simon potential
Francisco Caruso, José A. Helayël-Neto, Vitor Oguri +1
Bidimensional muonic and electronic atoms, with nuclei composed of a proton, deuteron, and triton, and governed by Chern-Simons potential, are numerically solved. Their eigenvalues…
Still learning about space dimensionality: from the description of hydrogen atom by a generalized wave equation for dimensions D3
Francisco Caruso, Vitor Oguri, Felipe Silveira
The hydrogen atom is supposed to be described by a generalization of Schrödinger equation, in which the Hamiltonian depends on an iterated Laplacian and a Coulomb-like potential $r…
Numerical solutions for a two dimensional quantum dot model
Francisco Caruso, Vitor Oguri, Felipe Silveira
In this paper, a quantum dot mathematical model based on a two-dimensional Schrödinger equation assuming the 1/r inter-electronic potential is revisited. Generally, it is argued th…
How the inter-electronic potential Ansätze affect the bound state solutions of a planar two-electron quantum dot model
Francisco Caruso, Vitor Oguri, Felipe Silveira
The model of a two-electron quantum dot, confined to move in a two dimensional flat space, in the presence of an external harmonic oscillator potential, is revisited for a specific…
Two-electron quantum dot model revisited: bound states and other analytical and numerical solutions
Francisco Caruso, Vitor Oguri, Felipe Silveira
The model of a two-electron quantum dot, confined to move in a two dimensional flat space, is revisited. Generally, it is argued that the solutions of this model obtained by solvin…