For a 1-D harmonic oscillator N, a(+) =
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The 1D Harmonic Oscillator
The harmonic oscillator is an extremely important physics problem. Many potentials look like a harmonic oscillator near their minimum. This is the first non-constant potential for which we will solve the Schrödinger Equation.
The harmonic oscillator Hamiltonian is given by
\begin{displaymath}\bgroup\color{black} H={p^2\over 2m}+{1\over 2}kx^2 \egroup\end{displaymath}
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