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- W2950584511 abstract "We prove that the ground state energy of an atom confined to two dimensions with an infinitely heavy nucleus of charge $Z>0$ and $N$ quantum electrons of charge -1 is $E(N,Z)=-{1/2}Z^2ln Z+(E^{TF}(lambda)+{1/2}c^{rm H})Z^2+o(Z^2)$ when $Zto infty$ and $N/Zto lambda$, where $E^{TF}(lambda)$ is given by a Thomas-Fermi type variational problem and $c^{rm H}approx -2.2339$ is an explicit constant. We also show that the radius of a two-dimensional neutral atom is unbounded when $Zto infty$, which is contrary to the expected behavior of three-dimensional atoms." @default.
- W2950584511 created "2019-06-27" @default.
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- W2950584511 date "2011-02-21" @default.
- W2950584511 modified "2023-10-14" @default.
- W2950584511 title "Asymptotics for Two-dimensional Atoms" @default.
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