Question

Derive an expression for calculating energy values corresponding n=3 for a particle in one dimensional box?

Answer 1

The particle in a box problem is a common application of a quantum mechanical model to a simplified system consisting of a particle moving horizontally within an infinitely deep well from which it cannot escape. The solutions to the problem give possible values of E and ψψ that the particle can possess. E represents allowed energy values and ψ(x)ψ(x) is a wavefunction, which when squared gives us the probability of locating the particle at a certain position within the box at a given energy level.