浅谈利用薛定谔方程计算量子态的时间演化
收稿日期: 2019-02-05
修回日期: 2019-05-29
网络出版日期: 2020-01-22
基金资助
新时代新工科大学物理教学体系项目资助; 基础学科拔尖学生培养试验计划支持( 20180216) ; 国家自然科学基金( 11675046) 资助; 黑龙江省博士后科研启动经费( LBH-Q15060) 资助
A brief probe: time evolution of quantum state based on Schodinger equation
Received date: 2019-02-05
Revised date: 2019-05-29
Online published: 2020-01-22
宋杰, 王晓鸥, 霍雷, 张宇, 赵远 . 浅谈利用薛定谔方程计算量子态的时间演化[J]. 大学物理, 2019 , 38(12) : 15 . DOI: 10.16854 /j.cnki.1000-0712.190075
In the teaching of quantum mechanics,Schrodinger equation is the core part of describing the evolution of a quantum system. Research on Schrodinger equation enables students to understand the differences between quantum physics and classical physics. In the course of quantum physics,Schrodinger equation is very important for students to have a grasp of the properties of quantum state. However,in teaching,most examples focus on the stationary Schrodinger equation. The students cannot master the time evolution of quantum state very well. Thus we introduce the simplest system which is composed of a single photon and coupled cavity system. The probability of photon in different cavities varies with time. Simultaneously,the simplest Hamiltonian is used to describe the hopping process of photons in the system.The analytical expression of the probability depending on time is given.As a result, the time evolution of quantum state can be understood more intuitively.
Key words: quantum systems; single photon; coupled cavities
/
| 〈 |
|
〉 |