Authors: Runsheng Tu
There have been no reports on the operators of force and the equations of wave mechanics containing force, as well as the representation of Newton's second law and the law of conservation of momentum using wave mechanics methods. It is necessary to explore the method of describing the action of force using wave mechanics. By carefully analyzing the composition, structure, and function of the Schrödinger equation (SC), it was found that it is a product of the organic combination of classical mechanical laws and wave functions. Starting from F=ma, SC can be derived. F=ma can be precipitated from SC. The operators for physical quantities, such as mass, force, potential energy, etc., can be derived from SC. The wave equation with force has also been established. The law of conservation of momentum, Newton's second law, and Viry's theorem can also be expressed by the wave equation. According to SC, it can also be demonstrated the quantitative relationship between the wave and particle properties of moving particles. Through the experiment of "magnetic field and light interfering with electron diffraction", it can also be observed that moving particles undergo diffraction while complying with Newton's second law. The conclusion is that "quantum" and "classical" can be combined: quantum mechanics allows classical mechanics to be compatible with itself and can describe forces in the microscopic world.
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[v1] 2025-11-05 04:17:45
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