径向动量的等效算符及其量子测量
收稿日期: 2018-09-10
修回日期: 2018-12-26
网络出版日期: 2019-07-01
基金资助
广东省教学质量与教学改革工程项目-理工科( 2017117) ; 岭南师范学院精品课程( 114961700239) ; 岭南师范学院大学物理教学
团队项目( 114961700249) ; 岭南师范学院教学改革项目( LSJGMS1815) 资助
An equivalent operator of radial operator and its quantum measurement
Received date: 2018-09-10
Revised date: 2018-12-26
Online published: 2019-07-01
肖世发, 刘全慧 . 径向动量的等效算符及其量子测量[J]. 大学物理, 2019 , 38(6) : 4 -7 . DOI: 10.16854 /j.cnki.1000-0712.180490
an equivalent operator of radial operator is resulted. Though the radial operator itself is non-self-adjoint and is not
measurable in physics，the equivalent operator is in fact the difference of two self-adjoint operators，so is measurable.
Thus，a superficial contradiction between the non-self-adjointness and existence of the uncertainty for the radial
momentum operator is resolved. What is more，the Hydrogen atom ground state is used to show how to measure
the equivalent operator.
Key words： radial momentum; geometric momentum; decomposition of momentum
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