Consider the potential (V=k x^{2}+alpha|x|^{3}), and a trial wave function (psi(x ; a, b)=|y|^{a} e^{-b y^{2}}). Find

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Consider the potential \(V=k x^{2}+\alpha|x|^{3}\), and a trial wave function \(\psi(x ;

a, b)=|y|^{a} e^{-b y^{2}}\). Find an estimate of the ground state energy (write down the equations for the minimum).

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