Exact wave functions for concentric two-electron systems |
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| Authors: | Pierre-François Loos Peter MW Gill |
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| Institution: | Research School of Chemistry, Australian National University, Canberra, ACT 0200, Australia |
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| Abstract: | We show that the exact solution of the Schrödinger equation for two electrons confined to two distinct concentric rings or spheres can be found in closed form for particular values of the ring or sphere radii. In the case of rings, we report exact polynomial and irrational solutions. In the case of spheres, we report exact polynomial solutions for the ground and excited states of S symmetry. |
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| Keywords: | Concentric double quantum ring Bucky onions Concentric spheres Quasi-exactly solvable model Exact solutions |
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