The Quantization Of The Hamilton's Theory

Quantization is refers to the characteristics that physical quantity only to a fixed value of the size to change with the system of the state.It's necessary theoretical basis that the concept of quantization for the establishment of quantum mechanics.Bohr extended the Planck quantization hypothesis of light to microscopic particles,and promoted the further development of the concept and theory of quantization.Sommerfeld considering the extra nuclear electron around the nucleus movement is not limited in circular orbit,is also available in elliptical orbit,and promoted the Bohr quantized condition.Concept of quantization originated in the discussion the nature of the light,following Einstein argued the wave-particle duality of light,the DE Broglie apply wave-particle duality theory about light to physical particles,regard as the real particles also have wave-particle duality.Schrodinger use DE Broglie's train of thought,time-dependent Schrodinger equation are obtained.From Hamilton – Jacobi equation,got the time-independent Schrodinger equation.Both photons and other microscopic particles are in a set of volatility and particles.It's energy will not change because of present volatility or particles.The cause of the micro particle energy quantization is wave-particle duality.In this article,through material has the characteristics of wave-particle duality,comprehensive quantum wheeler delayed choice experiment's results,the essence of the volatility and particles are the two kinds of material properties,is the performance of two different material.The essence of micro particles unchanged,the nature of individual particles from the Angle of the micro particle two attributes to study the microscopic particles of energy,as a result,all roads lead to Rome.Hamilton's theory has highest generality and perfection,using the theory of Hamiltonian can derived all the fundamental equations of physics.Hamiltonian theory should be without being limited by the macroscopic,microscopic particles can also be described.This article from the perspective of volatility of microscopic particles,the use of Hamilton-Jacobi equation,using Effect of variable-Angle variable method,through introducing the sommerfeld quantization condition,calculate the Hydrogen and the Hydrogen ions,Harmonic oscillator and One dimensional infinite potential well of energy,and compared with the results of quantum mechanics,found the result completely consistent,realized the quantization of Hamiltonian theory.