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Analyticity of Schrodinger energy levels for confining potentials

D P Datta and S Mukherjee

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The analyticity of the Schrodinger energy levels in the coupling constant beta for a class of confining potentials of the type V(r)=- zeta /r+ alpha r+ beta r2 has been studied by using Kato-Rellich perturbation theory for linear operators.


PACS

02.30.Tb Operator theory

MSC

34L40 Particular operators (Dirac, one-dimensional Schrödinger, etc.)

47A55 Perturbation theory

Subjects

Mathematical physics

Dates

Issue 8 (1 August 1982)



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