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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Subcriticality and gaugeability of the Schrödinger operator


Author: Z. Zhao
Journal: Trans. Amer. Math. Soc. 334 (1992), 75-96
MSC: Primary 81Q15; Secondary 35J10, 60J15, 60J65
MathSciNet review: 1068934
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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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DOI: https://doi.org/10.1090/S0002-9947-1992-1068934-5
Keywords: Schrödinger operators, Brownian motion, subcriticality, Feynman-Kac integral
Article copyright: © Copyright 1992 American Mathematical Society