Is It a Complex Exponent?

Psi is an easy problem to get started with because it's actually a harder, harder equation to solve. But the thing that makes this easy is that you know from physical intuition that the probability, probability density has to be zero outside of the box. And then inside the box, your potential is zero. In a infinite. So why was it intuitive and exponential? Because it's a complex exponential. What's it intuitive? The reason is actually because, okay, your solution is e to the square root of a difference in energies.