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• W2029492254 abstract "When an eigenvector of a semi-bounded operator is positive, we show that a remarkably simple argument allows to obtain upper and lower bounds for its associated eigenvalue. This theorem is a substantial generalization of Barta-like inequalities and can be applied to non-necessarily purely quadratic Hamiltonians. An application for a magnetic Hamiltonian is given and the case of a discrete Schrodinger operator is also discussed. It is shown how this approach leads to some explicit bounds on the ground-state energy of a system made of an arbitrary number of attractive Coulombian particles." @default.
• W2029492254 created "2016-06-24" @default.
• W2029492254 creator A5017506630 @default.
• W2029492254 date "2006-02-01" @default.
• W2029492254 modified "2023-09-27" @default.
• W2029492254 title "Upper and lower bounds for an eigenvalue associated with a positive eigenvector" @default.
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• W2029492254 doi "https://doi.org/10.1063/1.2168124" @default.
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