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- Problem Statement
- Please see image

- Relevant Equations
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I want to compute the fraction of time both particles spend outside the finite potential well. All I can get is the probability to find them outside. The wavefunction outside the potential is:

$$\frac{d^2\psi}{dr^2} = -L^2 \psi$$

Where:

$$L = \sqrt{\frac{2mE}{\hbar^2}}$$

Solving the differential equation one gets:

$$\psi = Esin(Lr + \delta)$$

More details (starting 7:02):

After some Math you get the coefficients and the probability is just ##\psi^2##.

But I am working all the time with the Time-independent Schrodinger equation so this approach, I'd say, is faulty so as to get the fraction of time.

May you give me a hint on this?

Thanks

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