We generalize the one-dimensional Schrödinger equation to the three-dimensional version and encounter the Laplace and Hamilton operator. Time-independent Schrödinger equation (3d) Here you will learn the general behavior of the wave function in the classically allowed and forbidden regions and the resulting energy quantization. Wave function in classically allowed and forbidden regions ![]() Here you learn the statistical Interpretation of the Schrödinger equation and the associated squared magnitude of the wave function. Squared magnitude, probability and normalization Here the Schrödinger equation is derived with the help of energy conservation, wave-particle dualism and plane wave.
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