For a particle-in-a-box toy model, Rayleigh-Ritz eigenvalues for a projected Hamiltonian converge from below (mostly), unlike the usual upper-bound behavior, with exact zero eigenvalues for the null space.
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On the application of the Rayleigh-Ritz method to a projected Hamiltonian
For a particle-in-a-box toy model, Rayleigh-Ritz eigenvalues for a projected Hamiltonian converge from below (mostly), unlike the usual upper-bound behavior, with exact zero eigenvalues for the null space.