Consider the solution to the Schrödinger equation
where is h-bar, m is the mass of a particle, is the wavefunction, and E is the energy of a given state, for the finite square potential well
where
Infinite Square Potential Well, Schrödinger Equation
References
Schiff, L. I. Quantum Mechanics, 3rd ed. New York: McGraw-Hill, 1968.
Siewert, C. E. "Explicit Results for the Quantum-Mechanical Energy States Basic to a Finite Square-Well Potential." J. Math. Phys. 19, 434-435, 1978.
