Journal of Shanxi Teachers University

The Mechanics of Finite-Freedom-Degree Harmonic Oscillator System

Li Hui

Published Jan 1, 2003• 0 citations

Abstract

Finite freedom degree harmonic oscillator system is studied as follows: To begin with, its equation of motion is given and its solution is obtained by solving the equation, then the Lagrange and Hamiltan equations of motion of harmonic oscillator system are derived from variational principle. Further more, after harmonic oscillator system are quantized, we can also get its motion equation stem from the Heisenbergs Equation. In addition, classical mechanics and quantum mechanics are simultaneously applied to many kinds of conditions (including n dimensional states) of harmonic oscillator systems. Finally, the equivalence of canonical equation and Heisenbergs Equation to harmonic oscillator systems are verified.

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