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Counterexample to the Laptev--Safronov conjecture

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 نشر من قبل Sabine B\\\"ogli
 تاريخ النشر 2021
  مجال البحث فيزياء
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We prove that the Laptev--Safronov conjecture (Comm. Math. Phys., 2009) is false in the range that is not covered by Franks positive result (Bull. Lond. Math. Soc., 2011). The simple counterexample is adaptable to a large class of Schrodinger type operators, for which we also prove new sharp upper bounds.



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