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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 ==
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