REESTABLISHMENT OF THE AXIOMATIC FOUNDATION AND CLASSICAL INTERPRETATION OF QUANTUM-MECHANICS

This paper proves that classical particles can also be described by the probability wave function, and we propose an equation of motion which this function must satisfy. By means of the Fourier integral, the whole axiomatic structure of quantum mechanics can be derived, and it can be proved that quantum mechanics is only a special case of classical mechanics with the particle's momentum and energy satisfying the de Broglie relation. According to this interpretation, microparticles still obey the deterministic laws of classical mechanics, but do not obey the statistical laws of classical mechanics pertaining to the continuous distribution of orbits. The uncertainty relation is proved to be caused by the descriptive method of statistical average, and the Copenhagen interpretation is considered to be invalid. We also prove that the angular momentum operators of quantum mechanics cannot actually represent the real angular momenta of microparticles, introducing the concept of "hidden angular momentum," based on which the importance of the microparticle's spin can be explained. The paper concludes that the potential penetration of microparticles does not, in fact, violate classical mechanics and explains the wave particle duality by using the concept of the classical particle's orbits. We at last calculate the orbits and motion of an electron in the hydrogen atom.