【摘 要】
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An exact closed form of solution to the hyperradial Schr(o)dinger equation is constructed for any general case comprising any hypercentral power and inverse-pow
【机 构】
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Physics Department
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An exact closed form of solution to the hyperradial Schr(o)dinger equation is constructed for any general case comprising any hypercentral power and inverse-power potential. The hypercentral potential depends only on the hyperradius, which itself is a function of Jacobi relative coordinates that are functions of particle positions (r1, r2 ,..., rN).This article is mainly devoted to the dernonstrat of the fact that any ψ of the form ψ = power series× exp (polynomial) =[f(x) exp(g(x))] is potentially a solution of the Schr(o)dinger equation, where the polynomial g(x) is an ansatz depending on the interaction potential.
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