Comment on Hellmann Pseudopotential Parameters

On the Hellmann-Feynman theorem for statistical averages

We discuss the Hellmann-Feynman theorem for degenerate states and its application to the calculation of the derivatives of statistical averages with respect to external parameters. Some time ago there was a discussion about the validity of the HellmannFeynman theorem (HFT)[1] for degenerate states[2–5]. Recently, some of those results[3–5] proved useful in deriving an expression for the derivat...

Spectral bounds for the Hellmann potential Richard

The method of potential envelopes is used to analyse the bound state spectrum of the Schrödinger Hamiltonian H = −∆ + V (r), where the Hellmann potential is given by V (r) = −A/r + Be −Cr /r , A and C are positive, and B can be positive or negative. We established simple formulas yielding upper and lower bounds for all the energy eigenvalues.

Spectral bounds for the Hellmann potential

The method of potential envelopes is used to analyse the bound state spectrum of the Schrödinger Hamiltonian H = −∆ + V (r), where the Hellmann potential is given by V (r) = −A/r + Be −Cr /r , A and C are positive, and B can be positive or negative. We established simple formulas yielding upper and lower bounds for all the energy eigenvalues.

[Setting Confidence Intervals for Bounded Parameters]: Comment

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Pseudopotential in resonant regimes