Probability Distributions for the Quantum Oscillator
量子振子的概率分布
The solution of the Schrodinger equation for the quantum harmonic oscillator gives the probability distributions for the quantum states of the oscillator.
薛定谔方程的解给出了谐振子量子态的概率分布。
 | The solution gives the wavefunctions for the oscillator as well as the energy levels. The square of the wavefunction gives the probability of finding the oscillator at a particular value of x. Note that there is a finite probability that the oscillator will be found outside the "potential well" indicated by the smooth curve. This is forbidden in classical physics. 解给出了谐振子的波函数以及能级。波函数的平方给出了在特定x值处找到谐振子的概率。注意，谐振子有有限的概率会被发现出现在“势阱”曲线所指示的区域之外。这在经典物理中是被禁止的。 |
| Comparison of classical and quantum probabilities
经典与量子概率的比较 |
Schrodinger equation concepts
References
Beiser, Perspectives
Sec 8-7
Thornton & Rex
Sec 7-6
索引 斯涅尔方程概念 参考文献 Beiser, 视角 第8-7节 Thorntan & Rex 第7-6节
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