# Differences

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harmonic_oscillator_hamiltonian [2016/08/31 15:14] nikolaj |
harmonic_oscillator_hamiltonian [2016/08/31 15:32] (current) nikolaj |
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== Remark == | == Remark == | ||

Another "quantum harmonical oscillator" is a model which looks similar, except $x$ is an operator $x(t)$ (and one a priori more general than right multiplication by $x$ as here) and where instead of $\dfrac{\partial}{\partial x}$ we consider $\dfrac{1}{L^2}x'(t)$. In this case, we can may have $\kappa$ depend on $t$ too. | Another "quantum harmonical oscillator" is a model which looks similar, except $x$ is an operator $x(t)$ (and one a priori more general than right multiplication by $x$ as here) and where instead of $\dfrac{\partial}{\partial x}$ we consider $\dfrac{1}{L^2}x'(t)$. In this case, we can may have $\kappa$ depend on $t$ too. | ||

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+ | It's basically a matter on how the $a$'s end up looking and in what way they relate to the ground state of the system. | ||

== Interpretation == | == Interpretation == |