November 11, Glossary

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Commutators 交換子/对易算符
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Reading: Levine 3.1, 5.1, McQuarrie 4.8, 4.9

.. and .. commute ..与..对易
Common set of eigenfunctions

simultaneously 同时

if and only if 若且唯若
arbitrary 任意的
expansion 级数展开 (e.g. Taylor expansion 泰勒展开, polynomial expansion 多项式展开)
proportional 成正比
degeneracy 简并性

QED "Quod erat demonstrandum", a Latin phrase used at the end of a definitive proof, which means literally, "that which was to be demonstrated". 证毕, jokingly "quite easily done."


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Heisenberg equation of motion 海森堡方程式
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Reading: Griffiths 3.5

time evolution 时间推移? 随时间变化

general case 普通情况
special case 特殊情况

composed of 由……组成
substitute 代入

constant of motion 运动常数
conserved quantities 保守量, 守恒的量 (e.g. energy)

E=mc^2

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Tunneling 量子穿隧效应或量子隧道效应
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Reading: Levine 2.5, Griffiths 2.4, 2.5

region 区域

barrier 障碍

incident 入射的
reflected 反射的
transmitted 透射的

reflection n. 反射
transmission n. 透射

classically forbidden 禁止
classically allowed 容许

flux 流量

contour plot 等值线图表
reaction dynamics 反应动力学
rate constant 速度常数