Geodesic
Generalized convexity property for the energy of a quantum-mechanical system
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 3, pp. 432-438 Cet article a éte moissonné depuis la source Math-Net.Ru

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The energy $E$ of the lowest discrete level of a quantum-mechanical system is considered as a function of a parameter $\lambda$, that occurs linearly in the energy operator. An inequality that generalizes the well-known convexity property of the function $E(\lambda)$ is derived. The application of the generalized convexity property is illustrated by the example of the calculation of bounds for the total energies and the energies of the electron-nucleus interaction in the ground state for two-electron atoms. 
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     author = {T. K. Rebane},
     title = {Generalized convexity property for the energy of a~quantum-mechanical system},
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     pages = {432--438},
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T. K. Rebane. Generalized convexity property for the energy of a quantum-mechanical system. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 3, pp. 432-438. http://geodesic.mathdoc.fr/item/TMF_1983_56_3_a9/

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