TY - JOUR
T1 - A new approach to the relativistic schrödinger equation with central potential
T2 - Ansatz method
AU - Dong, Shi Hai
N1 - Funding Information:
I thank Prof. Zhong-Qi Ma for encouragement and Prof. M. S. Child for inviting me to the University of Oxford and Prof. Frank for invitation to UNAM. This work was supported in part by the Royal Society of London and in part by the Division of Chemical Sciences, Office of Basic Energy Sciences, Office of Energy Research, U.S. Department of Energy and in part
PY - 2001
Y1 - 2001
N2 - Applying an ansatz to the eigenfunction, we obtain the exact closed-form solutions of the relativistic Schrödinger equation with the potential V(r) = -a/r + b/r1/2 both in three dimensions and in two dimensions. The restrictions on the parameters of the given potential and the angular momentum quantum number are also presented.
AB - Applying an ansatz to the eigenfunction, we obtain the exact closed-form solutions of the relativistic Schrödinger equation with the potential V(r) = -a/r + b/r1/2 both in three dimensions and in two dimensions. The restrictions on the parameters of the given potential and the angular momentum quantum number are also presented.
UR - http://www.scopus.com/inward/record.url?scp=27144517729&partnerID=8YFLogxK
U2 - 10.1023/A:1004119928867
DO - 10.1023/A:1004119928867
M3 - Artículo
SN - 0020-7748
VL - 40
SP - 559
EP - 567
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
IS - 2
ER -