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In section 2, we give the energy spectrum and the eigenstates of a Hamiltonian describing two coupled harmonic oscillators This serves as a guide in section 3 



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In the middle figure the oscillators have been coupled In both matrices S and T We conclude that harmonic stimulation FFF cos ν t of the system produces the 



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Two Coupled Harmonic Oscillators Consider a system of two objects of mass M The two objects are attached to two springs with spring constants κ (see Figure 



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the use of transformations that use orthogonal functions invariants [17] that simplifies the coupled harmonic oscillators Hamiltonian [19] The QM TDHO has been 

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