Question: Two coupled oscillators in a potential V (x, y)==1/2 kx^2 + 2xy +1/2 ky^2 (k>2) can be decoupled into two independent harmonic oscillators (coordinates:

Two coupled oscillators in a potential V (x, y)==1/2 kx^2 + 2xy

Two coupled oscillators in a potential V (x, y)==1/2 kx^2 + 2xy +1/2 ky^2 (k>2) can be decoupled into two independent harmonic oscillators (coordinates: x',y') by means of an appropriate transformation - 0 (a) (b) . The transformation matrix S is 25 -- 2 (c) -- - - (d)

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