A particle is moving in the one-dimensional box; Write and solve Schrodinger’s wave equation and get Eigenvalue and Eigen function.
A Particle trapped in a one-dimensional potential box
If we consider a particle trapped in a one-dimensional potential box and moving along the x-axis. Let L is the width of the box and particles move between the walls of the box.
The potential energy V inside the box is 0 while on the walls and outside the wall the box potential energy V is infinite.
We defined the boundary condition as: