Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

General Quantum Theory No Axiom Presumption: I ----Quantum Mechanics and Solutions to Crisises of Origins of Both Wave-Particle Duality and the First Quantization

Version 1 : Received: 6 February 2020 / Approved: 7 February 2020 / Online: 7 February 2020 (04:19:41 CET)
Version 2 : Received: 15 June 2020 / Approved: 16 June 2020 / Online: 16 June 2020 (09:23:30 CEST)

How to cite: Huang, C.; Huang, Y.; Song, J. General Quantum Theory No Axiom Presumption: I ----Quantum Mechanics and Solutions to Crisises of Origins of Both Wave-Particle Duality and the First Quantization. Preprints 2020, 2020020091 (doi: 10.20944/preprints202002.0091.v1). Huang, C.; Huang, Y.; Song, J. General Quantum Theory No Axiom Presumption: I ----Quantum Mechanics and Solutions to Crisises of Origins of Both Wave-Particle Duality and the First Quantization. Preprints 2020, 2020020091 (doi: 10.20944/preprints202002.0091.v1).

Abstract

Density distribution function of classical statistical mechanics is generally generalized as a product of a general complex function and its complex Hermitian conjugate function, and the average of classical statistical mechanics is generalized as the average of the quantum mechanics. Furthermore, this paper derives three ones of the five axiom presumptions of quantum mechanics, makes the three axiom presumptions into three theorems of quantum mechanics, not only solves the crisis to hard understand, but also gets new theories and new discoveries, e.g., this paper solves the crisis of the origin of the wave-particle duality (i.e., complementary principle), derives operators, eigenvalues and eigenstates, deduces commutation relations for coordinate and momentum as well as the time and energy, and discovers quantum mechanics is just a generalization ( mechanics ) theory of the square root of ( density function of ) classical statistical mechanics, which will make people renew thinking modern physics development. In addition, this paper discovers the reason why the time derivative of Schrȍdinger doesn’t takes the derivative of space coordinates. Therefore, this paper gives solution to the Crisis of the first quantization origin.

Subject Areas

quantum mechanics; operators; basic presumptions; wave-particle duality; the first quantization; commutation relation; classical statistical mechanics; classical mechanics

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