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研究了双波量子理论中守恒定律的数学形式，讨论了三维各向同性谐振子的守恒量及其经典极限.结果表明，双波量子理论中的守恒定律适用于单个粒子，而通常量子力学中的守恒定律仅适用于统计系综.The mathematical formulas of the conservation law in the double-wave quantnm theory are studied.As an example,the constants of motion and their classical limits of a 3-dimensional isotropic harmonic oscillator are discussed.The results indicate that the conservation law of the double-wave quantnm theory is applicable to single particle systems,and the conservation law of the usual quantnm theory is applicable only to statistical ensembles.
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