Schr\"{o}dinger Equation with the Potential $V(r)=a r^2+b r^{-4}+c r^{-6}$
Dong, Shi-Hai; Hou, Xi-wen; Ma, Zhong-Qi;
Schr\"{o}dinger 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 Schr\"{o}dinger 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.
Comment: PS file 10 pages, Submitted to J.P.A
- Institute of High Energy Physics China (People's Republic of)
- China Center of Advanced Science and Technology China (People's Republic of)
- Hubei University China (People's Republic of)
- Austrian Academy of Sciences Austria
- Institute of High Energy Physics Austria
Quantum Physics
Quantum Physics
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