Abstract
We investigate a Schrödinger operator − Δ / 2 + V - \Delta /2 + V in R d ( d ≥ 3 ) {R^d}\;(d \geq 3) with a potential V V in the class K d {K_d} satisfying a similar Kato condition at infinity, and prove an equivalence theorem connecting various conditions on subcriticality, strong positivity and gaugeability of the operator.
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