| Revista: | Brazilian journal of physics |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000392499 |
| ISSN: | 0103-9733 |
| Autores: | Franca, H.M1 Kamimura, A2 Barreto, G.A2 |
| Instituciones: | 1Universidade de Sao Paulo, Instituto de Fisica, Sao Paulo. Brasil 2Universidade de Sao Paulo, Instituto de Eletrotecnica e Energia, Sao Paulo. Brasil |
| Año: | 2016 |
| Periodo: | Abr |
| Volumen: | 46 |
| Número: | 2 |
| Paginación: | 184-191 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Experimental, analítico |
| Resumen en inglés | A Schrodinger type equation for a mathematical ¨ probability amplitude (x, t) is derived from the generalized phase space Liouville equation valid for the motion of a microscopic particle, with mass M and charge e, moving in a potential V (x). The particle phase space probability density is denoted Q(x, p, t), and the entire system is immersed in the “vacuum” zero-point electromagnetic radiation. We show, in the first part of the paper, that the generalized Liouville equation is reduced to a simpler Liouville equation in the equilibrium limit where the small radiative corrections cancel each other approximately. This leads us to a simpler Liouville equation that will facilitate the calculations in the second part of the paper. Within this second part, we address ourselves to the following task: Since the Schrodinger equation depends on ¨ , and the zero-point electromagnetic spectral distribution, given by ρ0(ω) = ω3/2π2c3, also depends on , it is interesting to verify the possible dynamical connection between ρ0(ω) and the Schrodinger equation. We shall prove that the Planck’s con- ¨ stant, present in the momentum operator of the Schrodinger ¨ equation, is deeply related with the ubiquitous zero-point electromagnetic radiation with spectral distribution ρ0(ω). For simplicity, we do not use the hypothesis of the exis- H. M. Franc¸a hfranca@if.usp.br A. Kamimura kamimura@iee.usp.br 1 Instituto de F´ısica, Universidade de Sao Paulo, C.P. 66318, ˜ 05315-970 Sao Paulo, SP, Brazil ˜ 2 Instituto de Eletrotecnica e Energia, Universidade ´ de Sao Paulo, Av. Prof. Luciano Gualberto, ˜ 1289 CEP, 055080-010 Sao Paulo, SP, Brazil ˜ tence of the L. de Broglie matter-waves. The implications of our study for the standard interpretation of the photoelectric effect are discussed by considering the main characteristics of the phenomenon. We also mention, briefly, the effects of the zero-point radiation in the |
| Disciplinas: | Física y astronomía |
| Palabras clave: | Física atómica y molecular, Mecánica cuántica, Ecuación de Schrodinger, Fluctuaciones electromagnéticas, Efecto fotoeléctrico, Punto cero |
| Keyword: | Physics and astronomy, Atomic and molecular physics, Quatum mechanics, Schrodinger equation, Electromagnetic fluctuations, Photoelectric effect, Zero point |
| Texto completo: | Texto completo (Ver PDF) |
