Schur-complement truncations of HEOM for finite-dimensional systems converge spectrally to the full equations and are free of spectral pollution when the exact HEOM is stable.
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Necessary and sufficient conditions are proven for Schrödinger operators to possess zero-energy bound states with bounded k-th position moments at the essential spectrum threshold.
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On truncations of hierarchical equations of motion for finite-dimensional systems
Schur-complement truncations of HEOM for finite-dimensional systems converge spectrally to the full equations and are free of spectral pollution when the exact HEOM is stable.
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Eigenstates with Infinite Position Moments
Necessary and sufficient conditions are proven for Schrödinger operators to possess zero-energy bound states with bounded k-th position moments at the essential spectrum threshold.