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Results tagged with harmonic-oscillator
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user 214370
The term "harmonic oscillator" is used to describe any system with a "linear" restoring force that tends to return the system to an equilibrium state. There is both a classical harmonic oscillator and a quantum harmonic oscillator. Both are used as toy problems that describe many physical systems.
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Why does the anisotropic harmonic oscillator has no coupling between different directions?
The hamiltonian of the anisotropic HO e.g. in 2d is typically written as
$$H=\frac{1}{2m}\left(p_x^2+p_y^2\right)+\frac{1}{2}m(\omega_x^2 x^2+\omega_y^2y^2)$$
What I wonder is why there is no coupl …
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