Quantum Physics

   

Derivation of the Schrödinger Equation from F=ma (In Chinese)

Authors: Runsheng Tu

The compatibility between quantum mechanics and classical mechanics is always worth discussing.According to F=ma, the Schrödinger equation can be derived. Important classical physics formulas can be derived from the Schrödinger equation. TheShrödinger equation intuitively contains the mass m and the potential energy formula (this mass can be very large, and the potential energy comes from classical attraction). These three points determine that the Schrödinger equation is an organic combination of wave functions and classical mechanical laws. Based on this, it can be predicted that the Schrödinger equation with gravitational potential energy, which can be used to describe macroscopic objects, can be established. It can be observed from the experiment of electron diffraction in a magnetic field that the volatility and property of moving electrons can be presented simultaneously. This experimental phenomenon, together with the mathematical analysis mentioned above, supports the conclusion that Newton's second law still applies in the microscopic world. According to the Schrödinger equation, it can be proven that "the energy of a moving particle described by the law of waves is equivalent to a multiple of its kinetic energy"; There is no absolute boundary between macro and micro.

Comments: 12 Pages. In Chinese

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Submission history

[v1] 2025-09-11 20:07:03

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