33 citations · 115 across the 23 of their papers we have counts for
24 papers
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…
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…
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…
In what sense space dimensionality can be used to cast light into cultural anthropology?
Francisco Caruso, Roberto Moreira Xavier
Humans have always constructed spaces, through Mythos and Logos, as part of an aspiration to capture the essence of the changing world. This has been a permanent endeavour since th…
The Fourth Dimension: From its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds
José Maria Filardo Bassalo, Francisco Caruso, Vitor Oguri
In this article, the evolution of the ideas about the fourth spatial dimension is presented, starting from those which come out within classical Euclidean geometry and going throug…
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…
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…
Life and space dimensionality: A brief review of old and new entangled arguments
Francisco Caruso
A general sketch on how the problem of space dimensionality depends on anthropic arguments is presented. Several examples of how life has been used to constraint space dimensionali…
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…
Is There Flavour Independence in Tensor Glueball Decays?
Francisco Caruso, Enrico Predazzi
The flavour independence hypothesis for (tensor) glueball decays into exclusive final states is not ruled out by the existing data. A new methodology for testing its validity and a…
On the Dirac Monopole Mass Scale
Francisco Caruso
It is shown, by a semi-classical argument, that the Dirac charge quantization is still valid in the (classical) Born-Infeld electromagnetic theory. Then it is possible to calculate…
On the Physical Problem of Spatial Dimensions: An Alternative Procedure to Stability Arguments
Francisco Caruso, Roberto Moreira Xavier
Why is space 3-dimensional? The first answer to this question, entirely based on Physics, was given by Ehrenfest, in 1917, who showed that the stability requirement for -dimensi…
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…
Zero-frequency magnetic fluctuations in homogeneous cosmic plasma revisited
Francisco Caruso, Vitor Oguri
Magnetic fluctuations in a non-magnetized gaseous plasma is revisited and calculated without approximations, based on the fluctuation-dissipation theorem. It is argued that the pre…
On Kant's first insight into the problem of space dimensionality and its physical foundations
Francisco Caruso, Roberto Moreira Xavier
In this article it is shown that a careful analysis of Kant's "Thoughts on the True Estimation of Living Forces" leads to a conclusion that does not match the usually accepted inte…
The Cosmic Microwave Background Spectrum and a Determination of Fractal Space Dimensionality
Francisco Caruso, Vitor Oguri
The possibility to constrain fractal space dimensionality from Astrophysics and other areas is briefly reviewed. Assuming such dimensionality to be , a limit to can be i…
Bohr's atomic model revisited
Francisco Caruso, Vitor Oguri
Bohr's atomic model, its relationship to the radiation spectrum of the hydrogen atom and the inherent hypotheses are revisited. It is argued that Bohr could have adopted a differen…
A note on space dimensionality constraints relied on Anthropic arguments: methane structure and the origin of life
Francisco Caruso
A general sketch of how the problem of space dimensionality depends on Anthropic arguments is presented. A new argument in favor of a stable scenario for space dimensionality for a…
Off-diagonal helicity density matrix elements for vector mesons produced in polarized e+e- processes
M. Anselmino, M. Bertini, F. Caruso +2
Final state quark-antiquark interactions give origin to non zero values of the off-diagonal element rho_{1,-1} of the helicity density matrix of vector mesons produced in e+e- anni…
Higher twist corrections to Bjorken sum rule
Mauro Anselmino, Francisco Caruso, Eugene Levin
Some higher twist corrections to the Bjorken sum rule are estimated in the framework of a quark-diquark model of the nucleon. The parameters of the model have been previously fixed…
An Interesting Charmonium State Formation and Decay :
M. Anselmino, F. Caruso, F. Murgia +1
Massless perturbative QCD forbids, at leading order, the exclusive annihilation of proton-antiproton into some charmonium states, which, however, have been observed in the $p\bar p…