摘要
研究了量子力学中薛定谔方程和欧拉微分方程的等价性。求解薛定谔方程可以转换为求解其能量积分的变分为零。最后用变分法成功求得了一维谐振子基态波函数和能量。结果显示变分法在处理量子体系时候具有简单、方便和物理意义明确的特点。
We have investigated the equivalence of Euler equation and Schrodinger equation and have proved that, to solve the Schrodinger equation, one can turn to energy integration equation equaling to zero. Using variation method mentioned above, we successfully obtained wave function and energy of lowest-energy state of linear harmonic oscillator. At last, we explain the practicality of variation method in quantum mechanics system.
出处
《衡阳师范学院学报》
2013年第3期146-148,共3页
Journal of Hengyang Normal University
基金
教育部高等学校特色专业建设项目(TS11635)
衡阳师范学院青年骨干教师启动项目
关键词
量子力学
变分法
谐振子
quantum mechanics
variation method
harmonic oscillator
