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--- equations:schroedinger_equation [2018/05/12 12:59]
jakobadmin [Concrete]
+++ equations:schroedinger_equation [2018/05/14 07:05]
jakobadmin [Concrete]
@@ Line 42: / Line 42: @@
 It is conventional to denote operators by an additional hat above the classical symbol.
-The Hamiltonian is what is different for different systems. Formulated differently, the Hamiltonian characterizes the system in question. The rest of the Schrödinger equation stays the same for all systems.
+The Hamiltonian is what is different for different systems. Formulated differently, the Hamiltonian characterizes the system in question. The rest of the Schrödinger equation stays the same for all systems. For example, the Hamiltonian for a [[models:basic_models:harmonic_oscillator|harmonic oscillator]] reads
+\begin{equation} \hat H \equiv  \frac{\hat{p}^2}{2m} - \frac{1}{2}k \hat{x}^2   . \end{equation}
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