![]() ![]() ![]() ![]() (6.22) Insertion in the time-dependent Schrödinger equation (6. For example, let us assume that the wave function (x,t) is such that (x,t)(x)f(t). In effect, what is says to do is "take the second derivative of \(\psi (x)\), multiply the result by \(-(\hbar^2 /2m)\) and then add \(V(x)\psi (x)\) to the result of that. We will show that it is a solution to the time dependent Schrdinger equation. differential equations can be separated in a product of one-variable functions. ![]()
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