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𝑁-body Schrödinger operators with finitely many bound states

𝑁-body Schrödinger operators with finitely many bound states

In this paper we consider a class of second-order elliptic operators which includes atomic-type <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper N"> <mml:semantics> <mml:mi>N</mml:mi> <mml:annotation encoding="application/x-tex">N</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-body operators for <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper N greater-than 2"> <mml:semantics> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>&gt;</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">N &gt; 2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. …