At fixed active gap, common-frequency harmonic traps uniquely maximize ground-state center-of-mass variance for translation-invariant 1D many-body systems in the positivity class.
On non-degeneracy of the ground state of Schr¨ odinger operators
2 Pith papers cite this work, alongside 21 external citations. Polarity classification is still indexing.
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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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Center-of-Mass Bounds and Harmonic Extremality
At fixed active gap, common-frequency harmonic traps uniquely maximize ground-state center-of-mass variance for translation-invariant 1D many-body systems in the positivity class.
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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.