1. The problem statement, all variables and given/known data I have just started my undergraduate quantum mechanics lectures and I am currently stuck in this question: A rigid-walled box that extends from -L to L is divided into three sections by rigid interior walls at -x to +x, where x<L . Each section contains one particle in its ground state. (a) What is the total energy of the system as a function of x? (b) Sketch E(x) versus x. (c) At what value of x is E(x) a minimum? 2. Relevant equations En=(n2π2ħ2)/(2mL2) EΨ(x,t) = iħ(∂Ψ(x,t))/(∂t) 3. The attempt at a solution a) The energy of the system as a function of x should obey Schrodinger's Equation, so EΨ(x,t) = iħ(∂Ψ(x,t))/(∂t), but I'm not sure how to find a solution to Ψ(x,t) that may help me move forward. b) After reading my textbook for a while, I have decided to draw the total energy as a straight line parallel to the horizontal x axis. c) I was thinking since there are 3 particles within the rigid walled box, the minimum energy of the system would be E3=(9π2ħ2)/(2m(2L2)), since the length of the box is 2L. Help is much appreciated!!!!