A particle is moving in one-dimensional box; Write and solve its Schrodinger’s wave equation and obtain Eigen value 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 x-axis. Let L is the width of the box and particle 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.
The boundary condition is defined as: