33 citations · 115 across the 23 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…
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…
Note on the Existence of Hydrogen Atoms in Higher Dimensional Euclidean Spaces
Francisco Caruso, Jordan Martins, Vitor Oguri
The question of whether hydrogen atoms can exist or not in spaces with a number of dimensions greater than 3 is revisited, considering higher dimensional Euclidean spaces. Previous…