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On the essential spectrum of the hydrogen energy and related operators

On the essential spectrum of the hydrogen energy and related operators

Titchmarsh determined the spectrum of the Schrδdinger energy operator associated with the hydrogen atom, i.e. the operator -Δ -1/r.He showed, in particular, that its essential spectrum consists of the positive real axis.On the other hand, Agudo-Wolf and Birman formulated overlapping criteria for a potential, which ensured that addition of such …