Eliminating the Term Vψ and Coefficient 1/2 From Schrodinger’s Wave Equation

29 May 2024, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

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 big problem here. If λ=h⁄p is valid for matter waves, we must be able to obtain it for these waves using the mathematical calculations. But as you will see here, according to de Broglie's hypothesis, which considers matter wave energy is E=hf, this work is impossible; and so, we must change the matter wave energy equation to extract λ=h⁄p. The change in the equation of energy causes two important changes in the Schrodinger’s wave equation. These two changes bring us to a new wave equation. In the fourth part of the article, you will see that we need a new atomic model for the hydrogen atom due to some problems. 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.

Keywords

Wave mechanics
Schrodinger equation
Plane matter wave
Atomic model
de Broglie equation
Wave-particle duality

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