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On the spectrum of the Shrödinger operator

Sanjar BakirovTashkent Institute of Finance, 60A, A.Temur str., Tashkent 100000, Uzbekistan
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For the N-Coulomb particle Schrödinger operator with central charge Z there is a well known condition of stability N < 2Z + 1 obtained by E.Lieb. Showing that this estimate is also valid for the case when the action of the central charge vanishes outside the unit ball.

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