On the Hellmann-Feynman theorem and the variation of zeros of certain special functions
✍ Scribed by Mourad E.H Ismail; Ruiming Zhang
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 345 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0196-8858
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## Abstract Two distinct approaches to the calculation of first‐order properties with a limited CI wave function are discussed. One is based on the Hellmann–Feynman theorem and the other on the direct evaluation of the total energy derivative at zero perturbation. Corrections to the Hellmann–Feynma
By relating the problem to the study of the number of zeros of certain wronskian determinants, estimates are found for the number of zeros on the real line of functions of a certain class. This class is instanced by functions of the shape m Z Pt(@ exp Qd-4 k=l where the Pa, QI~ are polynomials and t
In the present article, we extended the quantum virial and Hellmann᎐Feynman theorems to the quantum statistical averages, that is, to the thermal states. We obtained some new formulas which make possible expressing the thermodynamical observables of the system as functions of the moments of coordina