Schrodinger Equation for a Quantum Mechanical Harmonic Oscillator

We consider the Schrodinger equation for the wave function on the real line with a harmonic potential. This is one of the rare cases when we have find exact forms of the solutions. When we separate variables we obtain two differential equations for which the eigenvalues (energy levels) have solutions in the form of the product of Gaussians and Hermite polynomials.
#mikethemathematician, #mikedabkowski, #profdabkowski

[@ChillBeats_881]

I can't wait for the day when I can understand this advance mathmatics same like math in High school physics.