Related papers: Analytic Behaviour of Wave Function

Analytic Behaviour of Wave Function

URL: http://arxiv.org/abs/2006.10515v2
Date: Tue, 23 Jun 2020 12:10:25 GMT
Title: Analytic Behaviour of Wave Function
Authors: W. Yang
Abstract summary: We find that the order and the type of wave function are compatible with the condition $|sigma|rho =sqrtv_m$ except to $m=-2$. We ansatz that the wave function satisfaction $psi(r)=f(r)exp[g(r)]$, where $f(r),g(r)$ are relations, and the power of $g(r)$ is no more than the order $rho$.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We obtained the order $\rho$ and the type $\sigma$ of wave function with all kind of power potentials, and found that the order and the type are compatible with the condition $|\sigma|\rho =\sqrt{v_m}$ except to $m=-2$. At the same time, we ansatz that the wave function satisfaction relation $\psi(r)=f(r)\exp[g(r)]$, where $f(r),g(r)$ are polynomials, and the power of $g(r)$ is no more than the order $\rho$. Using this ansatz we can solve the Schr\"{o}dinger equation, but unfortunately sometimes we need the parameters of potential to satisfy certain relations.

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