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This section covers how to solve the Schroedinger Eqn by separating x and t using the technique called separation of variables. This is possible because the potential energy V(x) is usually a function of only x, and not t.
Using the Schroedinger Eqn, boundary condition(s) and normalization condition, we will find still a number of (sometime infinite) solutions each of which is expressed as a product of a function of x and a function of t. The latter takes a form of <math>e^{-i\omega t}</math>, where <math>\omega = \frac{E},{hbar}</math>w = E/hbar.