- #1
tryingtolearn1
- 58
- 5
- Homework Statement
- A beam of particles is prepared in a momentum eigenstate ##\ket{p_0}##. The beam is directed to a shutter that is open for a finite time ##\tau##.
a) Find the wave function of the system immediately after passing through the shutter.
b) Find the momentum probability distribution of the beam after the shutter
- Relevant Equations
- $$\psi(x) = \frac{1}{\sqrt{2\pi\hbar}}\int\phi(p)e^{ipx/\hbar}dp$$
For part a, I have the following $$\ket{p_0} = \varphi_{p_0}(x)=\frac{1}{\sqrt{2\pi\hbar}}e^{ip_0x/\hbar}$$
but I am totally lost on how to proceed.
but I am totally lost on how to proceed.