- #1

photomagnetic

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- 0

## Homework Statement

Consider a particle of mass m in the ground state of a potential well of width 2 a and depth.

the particle was in the ground state of the potential well with V0 < Vcritical, which means the well is a narrow one.

At t = 0 the bottom of the potential well is shifted down to Vo' from Vo.

The resulting well is deep enough to support two bound states with energies

-e0 and -e1 > -e0.

What is the probability that the particle will get ionized – that is, it will leave the potential well

by occupying levels with positive energy?

## Homework Equations

## The Attempt at a Solution

I've found the wave function for e0

and the 2nd wave function for e1

Now I have to integrate them (-a to a)

But this is getting outta control. Is there a trick? or I am doing something wrong because there is no way to integrate so many terms. Screw mathematica btw. I need to learn the trick. Thanks!