TY - JOUR
T1 - Exact solutions of the two-dimensional Schrödinger equation with certain central potentials
AU - Dong, Shi Hai
N1 - Funding Information:
The author gratefully acknowledges Prof. Zhong-Qi Ma for encouragement and Prof. Mark S. Child for reading the manuscript carefully. I am also grateful to Dr. Xiao-Gang Wang for help at Oxford. This work was supported in part by the Royal Society, and supported in part by the Division of Chemical Sciences, Office of Basic Energy Sciences, Office of Energy Research, US Department of Energy.
PY - 2000/4
Y1 - 2000/4
N2 - By applying an ansatz to the eigenfunction, an exact closed-form solution of the Schrödinger equation in two dimension is obtained with the potentials V(r) = ar2 + br4 + cr6, V(r) = ar + br2 + cr-1, and V(r) = ar2 + br-2 + cr-4 + dr-6, respectively. The restrictions on the parameters of the given potential and the angular momentum m are obtained.
AB - By applying an ansatz to the eigenfunction, an exact closed-form solution of the Schrödinger equation in two dimension is obtained with the potentials V(r) = ar2 + br4 + cr6, V(r) = ar + br2 + cr-1, and V(r) = ar2 + br-2 + cr-4 + dr-6, respectively. The restrictions on the parameters of the given potential and the angular momentum m are obtained.
UR - http://www.scopus.com/inward/record.url?scp=0034349252&partnerID=8YFLogxK
U2 - 10.1023/A:1003614810934
DO - 10.1023/A:1003614810934
M3 - Artículo
SN - 0020-7748
VL - 39
SP - 1119
EP - 1128
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
IS - 4
ER -