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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 56, Number 3, Pages 432–438
(Mi tmf2224)
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This article is cited in 9 scientific papers (total in 9 papers)
Generalized convexity property for the energy of a quantum-mechanical system
T. K. Rebane
Abstract:
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.
Received: 06.12.1982
Citation:
T. K. Rebane, “Generalized convexity property for the energy of a quantum-mechanical system”, TMF, 56:3 (1983), 432–438; Theoret. and Math. Phys., 56:3 (1983), 922–926
Linking options:
https://www.mathnet.ru/eng/tmf2224 https://www.mathnet.ru/eng/tmf/v56/i3/p432
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Abstract page: | 264 | Full-text PDF : | 86 | References: | 45 | First page: | 1 |
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