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1. Two simple harmonic oscillators, one with mass M and the other
with mass m. Let two oscillators be coupled via C x1 x2 where C is a
constant and x1 and x2 are the coordinates of the two oscillators,
respectively. Please find the exact spectrum of the eigenvalues of this
coupled system.
Transcribed Image Text:1. Two simple harmonic oscillators, one with mass M and the other with mass m. Let two oscillators be coupled via C x1 x2 where C is a constant and x1 and x2 are the coordinates of the two oscillators, respectively. Please find the exact spectrum of the eigenvalues of this coupled system.
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