Quantum Chemistry/Example 2

Question Edit

Starting with the wave equation of a 1D box:


The classical probability of a particle existing in the region of the box [0, 1/L] is,


Where   is the length of the 1D box,   is the principle quantum number, and   is the position of the particle in a 1D box.

Derive an equation that calculates the probability of the particle being in the [0, 1/L] for the quantum mechanical particle in a 1D box. Is this result compatible with the correspondence principle?

Solution Edit