A question I have faced in exam to calculate ground state energy(adsbygoogle = window.adsbygoogle || []).push({});

Given Hamiltonian

1/2m(p_{x}^{2}+p_{y}^{2})+1/4mw^{2}(5x^2+5y^2+6xy)

ground state energy has to be obtained

Its clear that the Hamiltonian is a 2D LHO Hamiltonian but what for the term 3/4(x+y)^{2}

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# I 2D LHO

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