ON SOLVING THE SCHRODINGER-LIKE WAVE-EQUATION IN N DIMENSIONS FOR GENERALIZED SEXTIC AND OCTIC POTENTIALS

被引:7
作者
KAUSHAL, RS
机构
关键词
D O I
10.1142/S0217732391000373
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
For a potential of the type V(r) = -b(o)\r +SIGMA(k = 1)(n)b(k)r (k), where n = 6, 8, we obtain an exact analytic solution of the Schrodinger-like wave (k = 1) equation generalized to N dimensions. We make use of an ansatz for the eigenfunction and obtain a closed form expression for the energy eigenvalues at the cost of certain constraints on the potential parameters, b(k). A distinct feature for even power potentials is pointed out for the case b(o) = O.
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页码:383 / 389
页数:7
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