- Tytuł:
- Wave-Particle Duality through a Hydrodynamic Model of the Fractal Space-Time Theory
- Autorzy:
-
Agop, M.
Nica, P.
Harabagiu, A. - Powiązania:
- https://bibliotekanauki.pl/articles/1812346.pdf
- Data publikacji:
- 2008-06
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
05.45.Df
47.53.+n
03.65.-w - Opis:
- Considering that the microparticle movements take place on fractal curves, the wave-particle duality is studied in the fractal space-time theory (scale relativity theory). The Nottale model was extended by assuming arbitrary fractal dimension, $D_F$, of the fractal curves and third-order terms in the equation of motion of a complex speed field. It results that, in a fractal fluid, the convection, dissipation, and dispersion are reciprocally compensating at any scale (differentiable or non-differentiable), whereas a generalized Schrödinger equation is obtained for an irrotational movement of the fractal fluid. The absence of the dispersion implies a generalized Navier-Stokes type equation and the usual Schrödinger equation results for the irrotational movement in $D_F$=2 of the fractal fluid. The absence of dissipation implies a generalized Korteweg-de Vries type equation. In such conjecture, the duality is analyzed through a hydrodynamic formulation. At the differentiable scale, the duality is achieved by the flowing regimes of the fractal fluid, while at the non-differentiable scale, a fractal potential controls, through the coherence, the duality.
- Źródło:
-
Acta Physica Polonica A; 2008, 113, 6; 1571-1588
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł