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The electron of an Hydrogen atom, orbits the nucleus in discrete orbits as described by the Bohr model. But we know from the theory proposed by de Broglie in 1925, that all particles of matter can be associated with a certain matter wave. So the electron orbiting the nucleus also has this wave nature. In fact the electron in a given orbit can be looked as a standing wave. In this paper we shall analyze the normal modes of the standing wave of the electron, justify Bohr's second postulate and also show how we can transform the Bohr model of hydrogen atom into the Quantum model that we are familiar with today.
Electron Quantum SuperPhysics, 2019
Electronic Parameters of the 2.8 Fermi Radius Electromagnetic Standing Wave Free Electron. Magnetic Flux, Flux Density, Voltage, Current, Charge, Inductance, Capacitance, Impedance, Velocity, Frequency, Wavelength, Permeability, Permittivity and Q-Factor
Let us summarize the main results. The wave solution for the Generalized Maxwell equations led us to the concept of the wave created by a moving electron as an essentially three-dimensional torsional oscillation. This oscillation takes place in longitudinal (along speed) and transverse (perpendicular) directions. This oscillation defines a traveling wave with amplitudes in longitudinal and transverse directions that are connected. Therefore, suppression of oscillation in one direction leads to suppression of oscillation in the other direction. In addition to this two-dimensional oscillation, the electron’s wave oscillates in the third dimension creating a standing wave independent with respect to time and the electron’s own movement, in contrast to the above mentioned-traveling wave. This standing wave defines the electron’s charge and Coulomb interaction force with other charges. Therefore the Coulomb force turns to be a long range one, in contrast to the Lorentz force, which is defined by a traveling wave that moves with electron’s velocity. One can say this in another way. The wave creating Coulomb force exists I ether from time immemorial. But the generalized Lorentz force is generated by movement and disappears with it. A positron possesses a similar standing wave with opposite sign. In an electron-positron collision, the standing waves are mutually annihilated, which means charge annihilation. These waves can appear only being “repulsed” by each other. Therefore electric charges appear only in couples: positive and negative ones. A certain visual notion about the electron as a massive torus rotating in equatorial and meridional planes is proposed. Charge magnitude is defined by the electron’s mass and the angular velocity of its equatorial rotation. If it constitutes right hand screw with meridional angle velocity, one gets charge of one sign, and of opposite sign in the opposite case. This screw also defines the sign of the above-mentioned standing wave.
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This paper presents an analysis around the ideas that emerged about the electron’s structure starting from the original writings of Langeving, Lorentz and Poincar´e, within the context of classical electrodynamics. Langevin seek an electromagnetic interpretation around of the inertia of the charged particles, while recognizing that such electromagnetic synthesis may be impossible. Lorentz, considered the mass of the electron of electromagnetic origin, constituted for inertial mass and electromagnetic mass, also evidence the need of inserting forces of nature different at the electromagnetic for counteract the effects of the electrostatic repulsion. Poincar´e introduce besides of the electromagnetics actions, actions that prevent the disintegration the electron by effect of the repulsion electrostatic of the component parts. Sets together with the electric field, one force of nature mechanic for establish the unity the electron. This analysis allows us to contribute elements for the teaching of electromagnetics giving the possibility of develop a different teaching practice than the usual characterized for new schemes and levels of phenomenon explanations.
This paper complements previous papers and a manuscript offering a full-blown realist interpretation of quantum mechanics based on the Zitterbewegung model of an electron. This manuscript would have been published by IOP and WSP if it were not for the casual comments of a critic, who opined our oscillator model is just "casually connecting disparate formulas." This paper explains all the nuances and logical steps in the model in very much detail and we, therefore, hope we succeeded in making the case.
The values of four different fields related to electron: gravitational, circulation, electric, and magnetic, can be written with very similar formulas that bind them in pairs: gravitational-magnetic and circulation-electric. Moreover, the four integrals over these fields in space and time produce the electron-specific 'charges': circulation quantum, rest mass, magnetic flux quantum, and elementary charge, which also form pairs analogous with respect to their proposed structure: circulation quantum-elementary charge, and rest mass-magnetic flux quantum. A specific value of the gravitational constant is hypothesized and an extension to the SI system of units is proposed allowing for comparisons between its mechanical and electromagnetic units, as was the case in the CGS-Gaussian system of units. It is hypothesized that total rest energy of electron consists in equal parts of contributions from its gravitational and electromagnetic energies.
This article called “Unveiling of the Electron with a Pictorial View” (Post #1) is excerpted from a book called “New Physics Framework” (Post #5). To see how the the electric force is generated go to this link at "Science Direct": https://www.sciencedirect.com/science/article/pii/S2211379717325871 The modeled electron in Figure 2 is equivalent to the cylindrical B-field described by the Biot-Savart law for point charge. (In the Figure: z, h, and θ are the longitudinal axis coordinate, radial coordinate, and angular coordinate, respectively.) However, since there is a gradient in the intensity of Bθ as measured along the z-axis of such cylindrical B-field (∂Bθ/∂z is non-zero), said cylindrical B-field must oscillate inward and outward along its z-axis, as required per Maxwell’s calculus. Thus, the cylindrical B-field of a translating electron translates and oscillates, while such field of an at-rest electron just oscillates. The oscillating cylindrical B-field of an at-rest electron is immeasurable due to the constant reversals of its rotational directions as it oscillates; whereas for a translating electron, there is a net rotational direction of the cylindrical B-field that is attributable to the translation. This part of Bθ is measurable and is given by the Biot-Savart law for point charge. It should be noted that in this article – “Unveiling of the Electron with a Pictorial View” (Post #1) – the heat fiber in “Figure 1” is a photon as described in “Footnote 1”. You will also notice that the electron only consists of a cylindrical B-field (no electric field) as shown in “Figure 2”. Please refer to the link below that explains how the electric force is generated. https://www.sciencedirect.com/science/article/pii/S2211379717325871
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