# Analytical solution for bound state energies of infinite well

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1. Oct 20, 2014

### Bob007

Hi there
I am trying to find bound state energies assuming infinite potential. I have been told it can be done by analytically solving Right Hand Side and Left Hand Side of an equation such as:
E^1/2 tan(2ma^2E/4hbar)^1/2 = (V0-E)^1/2
If solved properly, it should give one curve (RHS), crossed by several LHS curves. Intersection points are the answers I am looking for. Each intersection corresponds to one n. I am wondering if it can be done by Matlab or Mathematica? Sorry if it is too basic :)
Thanks

2. Oct 21, 2014

### ShayanJ

That doesn't specify what the potential is! Assuming infinite potential where?

Also you can't solve RHS and LHS of an equation, you solve the equation itself!!!