Understanding the analysis of wave function

2020/06/15 by Yang, Wei
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2006.10515

Abstract

We obtained the order ρ and the type σ of wave function with power-law potentials, and found that the order and the type are compatible with the condition |σ|ρ=√(v_m) except to m=-2. At the same time, we ansatz that the wave function satisfaction relation ψ(r)=f(r)exp[g(r)], where f(r),g(r) are polynomials, and the power of g(r) is no more than the order ρ.

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