Extend this to N-dimensions
ØCompute or set Hessian of Vsimple at local minimum
ØChange coordinates to the eigenbasis of the Hessian
ØIn eigenbasis the HO eigenfunctions factorize
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ØWe evaluate matrix elements using products of the 1d HO ladder operators, and orthogonality
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Description of the use of diagonalization/factorization of the harmonic oscillator basis set, and the ladder operator tricks we use to make this tractable in high-dimensional problems.