Abstract
Consider a molecule consisting of N quantized electrons at positions x i , and M nuclei of charges Z = (Z 1,..., Z M ) fixed at positions y = (y l,..., y M ). The Schrödinger Hamiltonian of such a system is given by
acting on ; in this exposition, in order to simplify notation, we neglect spin by putting q = 1. Define the ground state of such a system by
When M = 1, this system is an atom. In this case we can assume y = 0 and we denote its energy simply by E atom(Z).
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Fefferman, C.L., Ivrii, V.J., Seco, L.A., Sigal, I.M. (1992). The Energy Asymptotics of Large Coulomb Systems. In: Balslev, E. (eds) Schrödinger Operators The Quantum Mechanical Many-Body Problem. Lecture Notes in Physics, vol 403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55490-4_6
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DOI: https://doi.org/10.1007/3-540-55490-4_6
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