大学物理 ›› 2008, Vol. 27 ›› Issue (4): 1-1.

• 著者文摘 •    下一篇

为什么量子力学中力学量要用厄米算符表示

黄亦斌   

  1. 江西师范大学物理与通信电子学院,江西南昌330022
  • 出版日期:2008-04-25 发布日期:2008-04-20

Why dynamical variables should be represented by Hermitian operators in quantum mechanics

  • Online:2008-04-25 Published:2008-04-20

摘要: 立足于量子力学的数学表述,详细讨论了厄米算符的4个性质:线性,本征态的完备性,本征态的正交性和本征值的实数性.对于每个性质都给出了正面和反面的讨论,从而揭示了它们各自所代表的意义.

关键词: 完备性, 正交性, 正规算符, 厄米算符

Abstract: Based on the mathematical formulation of quantum mechanics, the four properties of Hermitian operators,i, e., linearality, completeness of eigenstates, orthogonality of eigenstates and realness of eigenvalues, are discussed in detail. Every property is considered from both positive and negative view which clarify their meanings.

Key words: completeness, orthogonality, normal operator, Hermitian operator

中图分类号: 

  • O413.1