Abstract
The quantum relationship may be regarded as the equivalence between two expressions for the rest energy of the particle, if is considered as the spin angular velocity of the particle in its rest frame. The invariance of the relativistic space-time interval to such a spin motion (space isotropy) leads to the spin momentum for all structureless particles irrespective of their mass values. The inertia is an intrinsic property due to the spin motion of the particles. The signs of the mass values occurring in the solutions of the Dirac equation might be related to the orientation of the spin motion, as suggested by the fundamental relationship . Besides it deals with the electron, and more specifically with two key properties: its complex wavefunction, and its intrinsic spin. In the standard interpretation, there is no clear real-space picture of what is oscillating in the wave, or what is rotating in the spin. Indeed, it is generally believed that no simple model of rotation can account for the spin of the electron. On the contrary, the present paper shows that a crude mechanical model of coherently rotating vortices can account quantitatively not only for spin, but also for the wavefunction itself. The implications of this are discussed in this paper
Highlights
Sz < / 2 for all structureless particles irrespective of their mass values
It is reasonable to assume that the rest energy of a particle is related to its spin motion, which is only allowed in that system [3]
The electron spin axis would not be parallel to the momentum, and the rotating spin eld vector would follow a general cycloidal motion rather than a simple helix
Summary
Recibido el 5 de septiembre de 2007, aceptado el 12 de diciembre de 2007 Received: September 5, 2007 Accepted: December 12, 2007. La relación cuántica m0c2 < W0 puede ser considerada como la equivalencia entre dos expresiones para la energía en rinetpeorsvoaldoerlealaptaivrtiísctauleas,psaicXio0-steiecmonpsoiddesra la velocidad c2dt dr angular de giro de partículas en su marco 2 para tal movimiento de espín La invariancia del espacial) conduce al impulso de espín Sz < / 2 para todas las partículas sin estructura, independientemente de sus valores de masa. Los signos de los valores de masa que se producen en las soluciones de la ecuación de Dirac podrían estar relacionados con la orientación del espín, según lo sugerido por la relación fundamental om0c2 o< W0. En el presente trabajo se muestra que un crudo modelo mecánico de rotación de vórtices coherentes explica cuantitativamente no sólo el espín, sino también la propia función de onda. Palabras clave: Espín, relatividad, ecuación de Dirac, función de onda, modelo semiclásico
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