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- W70604416 abstract "For zero energy, $E=0$, we derive exact, quantum solutions for {it all} power-law potentials, $V(r) = -gamma/r^{nu}$, with $gamma > 0$ and $-infty 2$ and $l ge 1$ the solutions are normalizable; they correspond to states which are bound by the angular-momentum barrier. Surprisingly, the solutions for $nu nu geq -2$ the states are unnormalizable continuum states. The $nu=2$ solutions are also unnormalizable, but are exceptional solutions. Finally, we find that by increasing the dimension of the seq beyond 4 an effective centrifugal barrier is created, due solely to the extra dimensions, which is enough to cause binding. Thus, if $D>4$, there are $E=0$ bound states for $nu > 2$ even for $l=0$. We discuss the physics of the above solutions are compare them to the classical solutions of the preceding paper." @default.
- W70604416 created "2016-06-24" @default.
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- W70604416 date "1994-08-09" @default.
- W70604416 modified "2023-09-27" @default.
- W70604416 title "Exact, E=0, Solutions for General Power-Law Potentials. II. Quantum Wave Functions" @default.
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