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Rigorous energy bounds for two-electron systems

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Publication:656975
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DOI10.1007/s10910-011-9879-3zbMath1304.81154OpenAlexW2100126895MaRDI QIDQ656975

H. Hogreve

Publication date: 13 January 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-011-9879-3


zbMATH Keywords

lower and upper boundsexcitation energiesrigorous analysistwo-electron atom


Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45)




Cites Work

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  • Methods of intermediate problems for eigenvalues. Theory and ramifications
  • The Stability of Matter in Quantum Mechanics
  • On the monotonic dependence of atomic excitation energies on the nuclear charge parameter Z
  • A Procedure for Estimating Eigenvalues
  • Lower Bounds for Eigenvalues of Schrödinger's Equation


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