activity
19952012
most citedOn the conection between the Liouville equation and the Schrodinger equation

4 citations · 10 across the 6 of their papers we have counts for

collaborators

6 papers

quant-ph2012

The Schrödinger equation, the zero-point electromagnetic radiation and the photoelectric effect

H. M. França, A. Kamimura, G. A. Barreto

A Schrödinger type equation for a mathematical probability amplitude ψ(x,t), is derived from the generalized phase space Liouville equation valid for the motion of a microscopic pa…

quant-ph2005★ 4 cited

On the conection between the Liouville equation and the Schrodinger equation

Edelver Carnovali, Humberto M. Franca

We derive a classical Schrodinger type equation from the classical Liouville equation in phase space. The derivation is based on a Wigner type Fourier transform of the classical ph…

quant-ph2005★ 3 cited

The vacuum electromagnetic fields and the Schrodinger picture

A. J. Faria, H. M. Franca, G. G. Gomes +1

Several authors have used the Heisenberg picture to show that the atomic transitions, the stability of the ground state and the position-momentum commutation relation [x,p]=ih, can…

quant-ph2004

Tunneling as a classical escape rate induced by the vacuum zero-point radiation

A. J. Faria, H. M. Franca, R. C. Sponchiado

We make a brief review of the Kramers escape rate theory for the probabilistic motion of a particle in a potential well U(x), and under the influence of classical fluctuation force…

quant-ph2004★ 1 cited

The Schrodinger picture and the zero-point radiation

A. J. Faria, H. M. Franca, C. P. Malta +1

Dalibard, Dupont-Roc and Cohen-Tannoudji (J. Physique 43 (1982) 1617; 45 (1984) 637) used the Heisenberg picture to show that the atomic transitions, and the stability of the groun…

quant-ph1995★ 2 cited

Maxwell Electromagnetic Theory, Planck's Radiation Law and Bose-Einstein Statistics

H. M. França, A. Maia, C. P. Malta

We give an example in which it is possible to understand quantum statistics using classical concepts. This is done by studying the interaction of charged matter oscillators with th…