An Investigation On The Corresponding Relationship Between Classical Mechanics And Quantum Mechanics

Subdisciplines of physics have immanent logical relations. The later theories are based on the former ones, and make use of some concepts and mathematical versions of former theories to some extent. Quantum mechanics developed form classical mechanics. They are different in ways of expression and scope of application, meanwhile, they have a profound origin and a close relationship. The problem concerning the connection between quantum mechanics and classical mechanics can't be avoided in teaching. Solving this problem in a proper way can not only help the learners to understand the quantum mechanics more deeply, but also help them to have a new understanding of classical mechanics.There are three considerations in this research: firstly, discussing in detail the corresponding relationship between the three theoretical forms of quantum mechanics (matrix mechanics, wave mechanics, path integral) and the theories of classical mechanics respectively; secondly, educing more conclusions by thinking thoroughly on several questions. Mainly investigating how to make a transition from relativistic Hamilton-Jacobi equation to the basic equation of quantum mechanics of special relativity—Dirac equation; thirdly, exploring teaching significance of the corresponding relationship between classical mechanics and quantum mechanics, discussing the issue concerning the teaching innovations of classical mechanics.