What mathematicians know about the solutions of Schrödinger-Coulomb Hamiltonian: Should chemists care?

DOI10.1007/s10910-008-9358-7zbMath1243.81073OpenAlexW2029340794MaRDI QIDQ843277

Brian T. Sutcliffe

Publication date: 12 October 2009

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

Full work available at URL: https://doi.org/10.1007/s10910-008-9358-7

zbMATH Keywords

moving nucleipermutational symmetrySchrödinger-Coulomb Hamiltonian

Mathematics Subject Classification ID

Chemistry (92E99) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Molecular physics (81V55)

Related Items (1)

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Cites Work

• A time dependent Born-Oppenheimer approximation
• On the Born-Oppenheimer expansion for polyatomic molecules
• Absence of bound states in extremely asymmetric positive diatomic molecules
• On the eigenfunctions of many-particle systems in quantum mechanics
• Multiple wells in the semi-classical limit I
• Proof of stability of the hydrogen molecule
• Some Studies Concerning Rotating Axes and Polyatomic Molecules
• A time-dependent Born-Oppenheimer approximation with exponentially small error estimates.
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