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λ=h/p is Universal?

Z.Y. Wang

Published Dec 1, 2009• 0 citations
OpenAlex

Abstract

de Broglie formula to photons in an unbounded space is E=hν and λ=h/p. According to electrodynamics, nevertheless,we prove the ratio E/p in a waveguide is greater than the product νλ which implies E=hν and p=h/λ cannot be tenable at the same time. Then the Casimir effect is applied to confirm E=hν and p<h/λ. It is helpful to study quantum tunnelling and superluminality[1]~[2], Cavity-QED, origin of mass, etc. The microwave experiment to test is also presented.

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The validity of the de Broglie formula λ=h⁄p for matter waves has been confirmed by numerous experiments such as Davisson-Germer and G. P. Thomson experiments. But there is a major problem here. If λ=h⁄p is valid for matter waves, we must be able to obtain it for these waves using mathematical calculations. But as you will see here, according to de Broglie's hypothesis, which considers matter wave energy equal to E=hf, this work is impossible; and so, we must change the matter wave energy equation to obtain λ=h⁄p. The change in the equation of energy causes two important changes in Schrodinger’s wave equation. These two changes bring us to a new wave equation. In the other part of the article, you will see that, to explain the reason for the quantization of the orbits in Bohr's atomic model, we need a new atomic model for the Hydrogen atom. The new model leads us to new results and findings. In this article, we show what the cause of the quantization of the orbits in the Bohr atomic model is. In this article we have been able to show the reality and nature of Photon and we show that a Photon is an electromagnetic Pulse. In the spectrum of the hydrogen atom, for example, the intensity of Balmer-alpha is greater than Balmer-beta. Here we have been able to explain why this is the case.

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de Broglie formula to photons in an unbounded space is E=hν and λ=h/p. According to electrodynamics, nevertheless,we prove the ratio E/p in a waveguide is greater than the product νλ which implies E=hν and p=h/λ cannot be tenable at the same time. Then the Casimir effect is applied to confirm E=hν and p<h/λ. It is helpful to study quantum tunnelling and superluminality[1]~[2], Cavity-QED, origin of mass, etc. The microwave experiment to test is also presented.
Chronal dynamics predicts: p = ħ/(cτ) is the fundamental relation from which E = pc, λ = h/p and Lebedev's experiments follow. It is shown that the postulate of energy-dependent time τ(E) = ħ/E in combination with the classical expression for the momentum of a photon p = E/c uniquely leads to the relation p = ħ/(cτ). This relation is identical to de Broglie's formula for a photon (p = h/λ), if we take λ = cτ. Thus, the de Broglie wavelength is not a fundamental property of a particle, but a projection of its chronal quantum into space. offers a new interpretation of the pressure of light as the pressure of the flow of chronal rhythms.
The validity of the de Broglie formula λ=h⁄p for matter waves has been confirmed by numerous experiments such as Davisson-Germer and G. P. Thomson experiments. But there is a major problem here. If λ=h⁄p is valid for matter waves, we must be able to obtain it for these waves using mathematical calculations. But as you will see here, according to de Broglie's hypothesis, which considers matter wave energy equal to E=hf, this work is impossible; and so, we must change the matter wave energy equation to obtain λ=h⁄p. The change in the equation of energy causes two important changes in Schrodinger’s wave equation. These two changes bring us to a new wave equation. In the other part of the article, you will see that, to explain the reason for the quantization of the orbits in Bohr's atomic model, we need a new atomic model for the Hydrogen atom. The new model leads us to new results and findings. In this article, we show what the cause of the quantization of the orbits in the Bohr atomic model is. In this article we have been able to show the reality and nature of Photon and we show that a Photon is an electromagnetic Pulse. In the spectrum of the hydrogen atom, for example, the intensity of Balmer-alpha is greater than Balmer-beta. Here we have been able to explain why this is the case.
The validity of the de Broglie formula λ=h⁄p for matter waves has been confirmed by numerous experiments such as Davisson-Germer and G. P. Thomson experiments. But there is a major problem here. If λ=h⁄p is valid for matter waves, we must be able to obtain it for these waves using mathematical calculations. But as you will see here, according to de Broglie's hypothesis, which considers matter wave energy equal to E=hf, this work is impossible; and so, we must change the matter wave energy equation to obtain λ=h⁄p. The change in the equation of energy causes two important changes in Schrodinger’s wave equation. These two changes bring us to a new wave equation. In the other part of the article, you will see that, to explain the reason for the quantization of the orbits in Bohr's atomic model, we need a new atomic model for the Hydrogen atom. The new model leads us to new results and findings. In this article, we show what the cause of the quantization of the orbits in the Bohr atomic model is. In this article we have been able to show the reality and nature of Photon and we show that a Photon is an electromagnetic Pulse. In the spectrum of the hydrogen atom, for example, the intensity of Balmer-alpha is greater than Balmer-beta. Here we have been able to explain why this is the case.
The validity of the de Broglie formula λ=h⁄p for matter waves has been confirmed by numerous experiments such as Davisson-Germer and G. P. Thomson experiments. But there is a major problem here. If λ=h⁄p is valid for matter waves, we must be able to obtain it for these waves using mathematical calculations. But as you will see here, according to de Broglie's hypothesis, which considers matter wave energy equal to E=hf, this work is impossible; and so, we must change the matter wave energy equation to obtain λ=h⁄p. The change in the equation of energy causes two important changes in Schrodinger’s wave equation. These two changes bring us to a new wave equation. In the other part of the article, you will see that, to explain the reason for the quantization of the orbits in Bohr's atomic model, we need a new atomic model for the Hydrogen atom. The new model leads us to new results and findings. In this article, we show what the cause of the quantization of the orbits in the Bohr atomic model is. In this article we have been able to show the reality and nature of Photon and we show that a Photon is an electromagnetic Pulse. In the spectrum of the hydrogen atom, for example, the intensity of Balmer-alpha is greater than Balmer-beta. Here we have been able to explain why this is the case.
The validity of the de Broglie formula λ=h⁄p for matter waves has been confirmed by numerous experiments such as Davisson-Germer and G. P. Thomson experiments. But there is a major problem here. If λ=h⁄p is valid for matter waves, we must be able to obtain it for these waves using mathematical calculations. But as you will see here, according to de Broglie's hypothesis, which considers matter wave energy equal to E=hf, this work is impossible; and so, we must change the matter wave energy equation to obtain λ=h⁄p. The change in the equation of energy causes two important changes in Schrodinger’s wave equation. These two changes bring us to a new wave equation. In the other part of the article, you will see that, to explain the reason for the quantization of the orbits in Bohr's atomic model, we need a new atomic model for the Hydrogen atom. The new model leads us to new results and findings. In this article, we show what the cause of the quantization of the orbits in the Bohr atomic model is. In this article we have been able to show the reality and nature of Photon and we show that a Photon is an electromagnetic Pulse. In the spectrum of the hydrogen atom, for example, the intensity of Balmer-alpha is greater than Balmer-beta. Here we have been able to explain why this is the case.
The validity of the de Broglie formula λ=h⁄p for matter waves has been confirmed by numerous experiments such as Davisson-Germer and G. P. Thomson experiments. But there is a major problem here. If λ=h⁄p is valid for matter waves, we must be able to obtain it for these waves using mathematical calculations. But as you will see here, according to de Broglie's hypothesis, which considers matter wave energy equal to E=hf, this work is impossible; and so, we must change the matter wave energy equation to obtain λ=h⁄p. The change in the equation of energy causes two important changes in Schrodinger’s wave equation. These two changes bring us to a new wave equation. In the other part of the article, you will see that, to explain the reason for the quantization of the orbits in Bohr's atomic model, we need a new atomic model for the Hydrogen atom. The new model leads us to new results and findings. In this article, we show what the cause of the quantization of the orbits in the Bohr atomic model is. In this article we have been able to show the reality and nature of Photon and we show that a Photon is an electromagnetic Pulse. In the spectrum of the hydrogen atom, for example, the intensity of Balmer-alpha is greater than Balmer-beta. Here we have been able to explain why this is the case.