Subcriticality and gaugeability of the Schrödinger operator

Zhao, Z.

doi:10.1090/S0002-9947-1992-1068934-5

Subcriticality and gaugeability of the Schrödinger operator
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Trans. Amer. Math. Soc. 334 (1992), 75-96 Request permission

Abstract:

We investigate a Schrödinger operator $- \Delta /2 + V$ in ${R^d}\;(d \geq 3)$ with a potential $V$ in the class ${K_d}$ 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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