算符(-iα/αx)~3的Hermiticity问题

ON HERMITICITY OF OPERATOR(-i x ) 3

尖劈势阱中电子Ｈａｍｉｌｔｏｎｉａｎ算符的本征函数集合能张开一个完备的Ｈｉｌｂｅｒｔ空间．本文研究了在该空间中算符（－ｉｘ）３的Ｈｅｒｍｉｔｉｃｉｔｙ问题，结果表明，对于该体系。

The Hermiticity of operator(-i x ) 3in Hilbert space spanned by eigenfunctions of Homiltonian for an electron in trangular potential well is studied.Results show that no Hermitian operator corresponding to classcal quantity p 3 x exists for the system.