(i) Write an expression for the wave function of 2 particles in a 1D box. Assume that
their masses are the same, m, and that the box size is a = 1. What are the energy
states? (Comment: The particles are distinguishable)
(ii) Write an expression for the average distance between the particles hdi, quantum
Wave function = 2sin(n1x1pi)sin(n2x2pi) for part 1 and energy levels are ((n1)^2 +(n2)^2))* h^2/4m
The Attempt at a Solution
I use <d> as an operator, and i try to operate it on the function but i dont know how to operate <d>, it wasnt taught in class and i cant find it in the text book. is d =x2-x1. How can i find the average distance between two non interacting particles??? there are no restrictions to the distance at all. They can be on top of each other? how to do it, i cant show anymore work because i dont know what to do lol.