The Phenomenological Stochastic Approach: A Short Route to Quantum Mechanics

Peña, Luis de la; Cetto, Ana Marı́a; Hernández, Andrea Valdés

doi:10.1007/978-3-319-07893-9_2

Cited by 2 publications

(4 citation statements)

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“…Though we anticipate the usefulness of the previous works [32,34] in this objective we have not been able to do it at present. A simple method generalizing, for example, (35) and (36) as coupled equations using m e does not work since Eq. ( 36…”

Section: Discussionmentioning

confidence: 99%

“…Once again the source of stochasticity is undefined. However the stochastic approach to quantum theory developed over past many decades [35] indicates that some of the arguments have a potential to offer an alternative to quantum mysteries. We propose to develop the electron model represented by the symbolic equivalence (39) introducing two new ideas: deriving a vortex solution to the Weyl equation, and embedding the vortex in a host Gaussian wavepacket of stochastic origin.…”

Section: Electron Vortex and Spintronicsmentioning

confidence: 99%

“…We seek a vortex solution to Weyl equation, let us consider Eq. (35). Assuming the spinor to be Φ 0 this equation becomes…”

Section: Electron Vortex and Spintronicsmentioning

confidence: 99%

“…Note that for the zero-point field the ground state wavepacket of a harmonic oscillator is a Gaussian function; the Gaussian is a minimum uncertainty wavepacket. The importance of zero-point radiation field in the stochastic electrodynamics is also recognized [35,38]. Secondly the normal or Gaussian distribution is one of the most useful continuous probability distributions.…”

Section: Electron Vortex and Spintronicsmentioning

confidence: 99%

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Spintronics: Maxwell-Dirac theory, charge and spin

Tiwari¹

2017

Preprint

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The nature of spin current and the separation of charge current and spin current are two of the fundamental questions in spintronics. For this purpose the classical limit of the Maxwell-Dirac theory is investigated in the present contribution. Since the Dirac equation reduces to the Weyl equation for massless particles, a vortex solution is obtained for the Weyl equation and it is argued that mass has stochastic origin. The Weyl vortex is embedded in a Gaussian wavepacket to define physical vortex. Two-vortex internal structure of electron is developed in terms of Weyl and subquantum Weyl vortices characterized by h and f = e 2 /2πc respectively. It is suggested that this model may find application in spintronics with a new perspective.

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