Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Analytical solution for bound state energies of infinite well

  1. Oct 20, 2014 #1
    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 :)
  2. jcsd
  3. Oct 21, 2014 #2


    User Avatar
    Gold Member

    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!!!

    Your explanations are inadequate and unclear!
  4. Oct 21, 2014 #3


    User Avatar

    Staff: Mentor

    Do you mean the finite or the infinite potential well?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook