Constructs two-impurity wave functions to derive rigorous weak-coupling polaron interactions depending on statistics and medium constraints, plus an exact relation between fixed-density and fixed-chemical-potential cases valid for arbitrary coupling.
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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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Role of impurity statistics and medium constraints in polaron-polaron interactions
Constructs two-impurity wave functions to derive rigorous weak-coupling polaron interactions depending on statistics and medium constraints, plus an exact relation between fixed-density and fixed-chemical-potential cases valid for arbitrary coupling.
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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.