| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000438774 |
| ISSN: | 0035-001X |
| Authors: | Gómez i Blanch, G1 Fullana i Alfonso, M.J1 |
| Institutions: | 1Universidad Politécnica de Valencia, Instituto de Matemática Multidisciplinaria, Valencia. España |
| Year: | 2019 |
| Season: | Mar-Abr |
| Volumen: | 65 |
| Number: | 2 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | In a previous paper (G.Gómez Blanch et al, 2018) we defined, in the frame of a geometro-dynamic approach, a metric corresponding to a Lorentzian spacetime where the electron stationary trajectories in a hydrogenoid atom, derived from the de Broglie-Bohm model, are geodesics. In this paper we want to complete this purpose: we will determine the remaining relevant geometrical elements of such an approach, and we will calculate the energetic density component of the energy-momentum tensor. We will discuss the meaning of the obtained results and their relationship with other geometrodynamic approaches. Furthermore, we will derive a more general relationship between the Lorentzian metric tensor and the wave function for general monoelectronic stationary states. In our approach, the electron description by the wave function Ψ in the Euclidean space and time is shown equivalent to the description by a metric tensor in a Lorentzian manifold. The particle acquires a determining role over the wave function, in a similar manner as the wave function determines the movement of the particle. This dialectic approach overcomes the de Broglie-Bohm approach. And furthermore, a non local element (the quantum potential) is introduced in the model, and incorporated in the geometrodynamic description by the metric tensor |
| Disciplines: | Física y astronomía |
| Keyword: | Física, De Broglie -Bohm, Variedad lorentziana, Función de onda, Tensor métrico, Métodos numéricos, Geometrodinámica |
| Keyword: | Curvatura escalar, Potencial cuántico, Tensor de momento energético, De Broglie -Bohm, Lorentzial manifold, Wave function, Metric tensor, Scalar curvature, Quantum potential, Energy moment tensor, Numerical methods, Geometrodynamics |
| Full text: | Texto completo (Ver HTML) Texto completo (Ver PDF) |
