arXiv subjects

Xi-wen Hou

Publications and source records attributed to Xi-wen Hou.

2 recordsLinked to original sources

arXiv1998

Correlations of spin states for icosahedral double group

The irreducible bases of the group space of the icosahedral double groups {\bf I'} and {\bf I$_{h}'$} are calculated explicitly. Applying those bases on the spin states $|j,μ>$, we present a simple formula to combine the spin states into the symmetrical adapted bases, belonging to a given row of a given irreducible representations of {\bf I'} and {\bf I$_{h}'$}.

math-ph↗

arXiv1998

Schrödinger Equation with the Potential $V(r)=a r^2+b r^{-4}+c r^{-6}$

By making use of an ${\it ansatz}$ for the eigenfunction, we obtain the exact solutions to the Schrödinger equation with the anharmonic potential, $V(r)=a r^2+b r^{-4}+c r^{-6}$, both in three dimensions and in two dimensions, where the parameters $a$, $b$, and $c$ in the potential satisfy some constraints.

quant-ph↗