An Ansatz for the wave function is used to obtain an exact solution for the ground-state energy for the potential V(r) = ar(2) + br(-4) + cr(-6) in an impenetrable spherical box, provided a certain constraint is satisfied between the potential parameters, a, b, and c. Two types of solution are shown to exist. Results are obtained for several sets of potential parameters.
机构:
Inner Mongolia Normal Univ, Math Sci Coll, Hohhot 010022, Peoples R ChinaInner Mongolia Normal Univ, Math Sci Coll, Hohhot 010022, Peoples R China
Zhang, Jing
Li, Lin
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Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
Chongqing Technol & Business Univ, Chongqing Key Lab Social Econ & Appl Stat, Chongqing 400067, Peoples R ChinaInner Mongolia Normal Univ, Math Sci Coll, Hohhot 010022, Peoples R China
机构:
Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Peoples R China
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaNorthwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Peoples R China
Cui, Na
Sun, Hong-Rui
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaNorthwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Peoples R China