Probability Amplitude, Wave Function and Macroscopic Random Motion
Kong Lingfang
Abstract For a long time, the academic community believes that quantum mechanics and classical mechanics are two greatly different mechanical systems, and the algorithms of quantum mechanics cannot be used to solve classical mechanics problems [1] . However, starting from classical mechanics, this paper proves through rigorous mathematical methods that classical mechanics and quantum mechanics have exactly the same mathematical algorithms. For example, concepts such as wave function, probability amplitude and superposition state can also describe the random motion states of macroscopic objects. This paper mainly adopts mathematical calculation, supplemented by computer simulation experiments, and verifies the correctness of the mathematical calculation process from both theoretical and experimental perspectives. No assumptions are needed in this paper, and all concepts are derived and proved through strict mathematical deduction. These derivation steps show that concepts such as probability amplitude and wave function are universal concepts applicable to random motion processes, which can be used for both macroscopic objects and microscopic particles, and are not unique calculation methods of quantum mechanics. PACS: 03.65.Ta, 03.50.Kk
•May 12, 2026•0 citations