activity
20162024
most citedHow the inter-electronic potential Ansätze affect the bound state solutions of a planar two-electron quantum dot model

9 citations · 24 across the 12 of their papers we have counts for

collaborators

12 papers

physics.hist-ph2024

The Compton scientific mission in Brazil in 1941: a perspective from national newspaper and documents of the time

Francisco Caruso, Adílio Marques, Felipe Silveira

Starting from the perspective of reports published in Brazilian newspapers at the time, as well as letters exchanged between scientists who worked in Brazil and North American coll…

physics.class-ph2023

On the Galilean covariance of the d'Alembert equation for acoustic phenomena

Francisco Caruso, Vitor Oguri, Felipe Silveira

The covariance of the d'Alembert equation for acoustic phenomena -- which is a mechanical wave equation -- under the conventional Galilean transformation is demonstrated without th…

nlin.CD2022

Characterizing a transition from limited to unlimited diffusion in energy for a time-dependent billiard

Felipe Augusto O. Silveira, Anne Kétri P. da Fonseca, Peter Schmelcher +2

We explore Fermi acceleration in a driven oval billiard which shows unlimited to limited diffusion in energy when passing from the free to the dissipative case. We provide evidence…

nucl-th2022

On the influence of Maxwell--Chern--Simons electrodynamics in nuclear fusion involving electronic and muonic molecules

Francisco Caruso, Vitor Oguri, Felipe Silveira +1

New results recently obtained (\textit{Annals of Physics} (New York) a.n.~168943) established some non-relativistic ground state solutions for three-body molecules interacting thro…

quant-ph2022★ 6 cited

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…

quant-ph2021★ 1 cited

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…

quant-ph2020★ 1 cited

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…

quant-ph2020★ 1 cited

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…

quant-ph2019★ 6 cited

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…

quant-ph2018★ 9 cited

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…

physics.gen-ph2017

Specific heats of degenerate ideal gases

Francisco Caruso, Vitor Oguri, Felipe Silveira

From arguments based on Heisenberg's uncertainty principle and Pauli's exclusion principle, the molar specific heats of degenerate ideal gases at low temperatures are estimated, gi…

quant-ph2016

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…