Year: 2020
Type: preprint
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 $|σ|ρ=\sqrt{v_m}$ 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 $ρ$.
Source: arXiv (Cornell University)
Author: Yang, Wei
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Guilin University of Technology
Award: G5990424679
OpenAlex ID: W3036894551