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On the Hellmann-Feynman theorem and the variation of zeros of certain special functions - MaRDI portal

On the Hellmann-Feynman theorem and the variation of zeros of certain special functions (Q1825332)

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scientific article; zbMATH DE number 4120534
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On the Hellmann-Feynman theorem and the variation of zeros of certain special functions
scientific article; zbMATH DE number 4120534

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    On the Hellmann-Feynman theorem and the variation of zeros of certain special functions (English)
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    1988
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    The authors give a precise formulation and a rigorous proof of the Hellmann-Feynman theorem of quantum chemistry. As a consequence of this theorem they discover again known monotonicity properties of the zeros of Bessel functions. It would be interesting to discover new results using Hellmann-Feynman theorem. The applications in the present paper are well known.
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    eigenvalues of selfadjoint operator
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    zeros of Bessel functions
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    Hellmann- Feynman theorem
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