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Accumulation of complex eigenvalues of an indefinite Sturm--Liouville operator with a shifted Coulomb potential

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 نشر من قبل Michael Levitin
 تاريخ النشر 2015
  مجال البحث
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For a particular family of long-range potentials $V$, we prove that the eigenvalues of the indefinite Sturm--Liouville operator $A = mathrm{sign}(x)(-Delta + V(x))$ accumulate to zero asymptotically along specific curves in the complex plane. Additionally, we relate the asymptotics of complex eigenvalues to the two-term asymptotics of the eigenvalues of associated self-adjoint operators.



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