CAJ | 학술논문

量子力学中的一项基本假定是代表力学量的算符是Hermite算符,由力学量算符的本征方程解出的全部本征值,就是相应力学量的可能取值。如果用测量仪器测量这个力学量的取值,只能测得其本征值。本文先从数学上严格证明了Hermite矩阵可以酉相似对角化,然后结合物理实例分析了其物理意义。
양자역학중적일항기본가정시대표역학량적산부시Hermite산부,유역학량산부적본정방정해출적전부본정치,취시상응역학량적가능취치。여과용측량의기측량저개역학량적취치,지능측득기본정치。본문선종수학상엄격증명료Hermite구진가이유상사대각화,연후결합물리실례분석료기물리의의。
The mechanical quantity is expressed by a Hermite operator is one of the basic hypotheses of quantum mechanics.All eigenvalues solved by the mechanical quantity operator eigenvalue equation are the possible values of the corresponding mechanical quantities.If one with a measuring instrument to measure the amount of value,eigenvalues can only be measured.In this paper,a Hermite matrix being similar to a diagonal matrix is proved in mathematics,and then combined with examples to explain its physical meaning.