53 citations · 123 across the 8 of their papers we have counts for
8 papers
Mass in the Light of Special Relativity
Francisco Caruso, Vitor Oguri
The text analyzes the concept of mass within Special Relativity, initially deconstructing the interpretation of Einstein's equation () as a principle of…
On the covariance of the d'Alembert equation: the cases of sound and light
Francisco Caruso, Vitor Oguri
The covariance of the d'Alembert equation for acoustic phenomena, described by mechanical waves in one or three spatial dimensions, under Galilean transformations, is demonstrated…
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…
Does Dirac equation for a generalized Coulomb-like potential in D+1 dimensional flat spacetime admit any solution for ?
F. Caruso, J. Martins, L. D. Perlingeiro +1
The relativistic hydrogen atom in an Euclidean space-time of arbitrary number of space dimensions () plus one time dimension is revisited. In particular, numerical solutions of…
Numerov numerical method applied to the Schrödinger equation
F. Caruso, V. Oguri
In this paper it is shown how to solve numerically eigenvalue problems associated to second order linear ordinary differential equations, containing also terms which depend on the…
Solving a two-electron quantum dot model in terms of polynomial solutions of a Biconfluent Heun Equation
F. Caruso, J. Martins, V. Oguri
The effects on the non-relativistic dynamics of a system compound by two electrons interacting by a Coulomb potential and with an external harmonic oscillator potential, confined t…
Effects on the Non-Relativistic Dynamics of a Charged Particle Interacting with a Chern-Simons Potential
F. Caruso, J. A. Helayël-Neto, J. Martins +1
The hydrogen atom in two dimensions, described by a Schrödinger equation with a Chern-Simons potential, is numerically solved. Both its wave functions and eigenvalues were determin…
Zero-point energy of massless scalar fields in the presence of soft and semihard boundaries in D dimensions
F. Caruso, R. De Paola, N. F. Svaiter
The renormalized energy density of a massless scalar field defined in a D-dimensional flat spacetime is computed in the presence of "soft" and "semihard" boundaries, modeled by som…