TY - JOUR
T1 - Exact wave functions for concentric two-electron systems
AU - Loos, Pierre François
AU - Gill, Peter M.W.
PY - 2014/1/17
Y1 - 2014/1/17
N2 - 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.
AB - 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.
KW - Bucky onions
KW - Concentric double quantum ring
KW - Concentric spheres
KW - Exact solutions
KW - Quasi-exactly solvable model
UR - http://www.scopus.com/inward/record.url?scp=84891834794&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2013.11.045
DO - 10.1016/j.physleta.2013.11.045
M3 - Article
SN - 0375-9601
VL - 378
SP - 329
EP - 333
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 4
ER -