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Open Quantum Systems Decoherence
Highly excited bound-state resonances of short-range inverse power-law potentials
arXiv
Authors: Shahar Hod
Year
2017
Paper ID
25280
Status
Preprint
Abstract Read
~2 min
Abstract Words
89
Citations
N/A
Abstract
We study analytically the radial Schrödinger equation with long-range attractive potentials whose asymptotic behaviors are dominated by inverse power-law tails of the form V(r)=-βn r-n with n>2. In particular, assuming that the effective radial potential is characterized by a short-range infinitely repulsive core of radius R, we derive a compact {\it analytical} formula for the threshold energy Emaxl=Emaxl\(n,βn,R\) which characterizes the most weakly bound-state resonance (the most excited energy level) of the quantum system.
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- We study analytically the radial Schrödinger equation with long-range attractive potentials whose asymptotic behaviors are dominated by inverse power-law tails of the form...
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