Quantum Mathematics
ØKey Theorem:
Ø For large enough mass, the lowest energy eigenfunction is localised to the global min. of the potential
ØSolutions of Schrödinger for general Vfull are intractable
ØApproximate solutions for polynomial Vfull
lExpand potential as Vfull=Vsimple+Vperturb
lUsing completeness, expand eigenfunctions in terms of those of Vsimple
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lTo approximate lowest energy eigenstate, choose ai to minimise energy expectation
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The key theorem underpinning the algorithm – large mass limit localization of the ground state.  Specific description of the full perturbation theory approach to approximating solutions for the eigenfunctions of a system with a general potential.