Simple coupled quantum harmonic oscillator – physics.stackexchange.com

I am having trouble finding the eigenvalues for the Hamiltonian $$ H = \frac{P_1^2}{2M} + \frac{P_2^2}{2m} + \frac{K}{2}x_1^2 + \frac{k}{2}(x_1 - x_2)^2$$ Even though I can find a basis where the ...

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