写的 - 写的 - Michel Ramillon
1. - Watch both solution ψ(x,t) and free wave-packet curves evolve together in time and separate when entering non-zero potential energy region.
2. The solution ψ(x,t) of the time-dependent Schrödinger equation is then computed as ψ(x,t) = exp(-iHt) ψ₀(x) where ψ₀(x) is a gaussian wave-packet at initial time t = 0.
3. - Change initial gaussian parameters of the wave-packet (position, group velocity, standard deviation), enter any time value, then tap refresh button to observe changes in curves without new diagonalization.
4. - Spatially continuous problem discretized over [a, b] and time-independent Schrödinger equation represented by a system of N+1 linear equations using a 3, 5 or 7 point stencil; N being the number of x-steps.
5. - Animation shows gaussian wave-packet ψ(x,t) evolving with real-time evaluation of average velocity, kinetic energy and total energy.
6. A solution of this differential equation represents the motion of a non-relativistic particle in a potential energy field V(x).
7. The time-independent Schrödinger equation H ψ(x) = E ψ(x), represented by a set of linear equations, is solved by using quick diagonalization routines.
8. - Quantum system defined by mass, interval [a, b] representing the Box and (real) potential energy V(x).
9. In Quantum Mechanics the one-dimensional Schrödinger equation is a fundamental academic though exciting subject of study for both students and teachers of Physics.
10. This is particularly useful to get a (usually more precise) solution for any time value t when animation is slower in cases of N being large.
11. Actually the originally continuous x-spatial differential problem is discretized over a finite interval (the Box) while time remains a continuous variable.
或按照以下指南在PC上使用 :
选择你的电脑版本:
软件安装要求:
可直接下载。下载如下：
现在，打开已安装的模拟器应用程序并查找其搜索栏。一旦找到它，请键入 Quantum Wave in a Box 在搜索栏并按搜索。点击 Quantum Wave in a Box应用程序图标。一个 窗口 Quantum Wave in a Box 在Play商店或应用程序商店将打开并且它将在您的模拟器应用程序中显示商店。现在，按下安装按钮并像在iPhone或Android设备上一样，您的应用程序将开始下载。现在我们都完成了。
你会看到一个名为“所有应用程序”的图标。
点击它，它会带你到一个包含所有已安装应用程序的页面。
你应该看到 图标。点击它并开始使用该应用程序。
下载 Quantum Wave in a Box 对于Mac OS (Apple)
| 下载 | 开发人员 | 评论 | 评分 |
|---|---|---|---|
| $2.99 对于Mac OS | Michel Ramillon | 3 | 4.00 |
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