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Singular wave functions and quantum collapse in inverse-power potentials

Sakaguchi, Hidetsugu et al.
arXiv (All) · Papers
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mathematical-physicsphysics-educationquantum-physics
Quantum collapse (QC) occurs under the action of the inverse-power potential U(r)=-U_{0}/(2r^{n}) in the framework of the Schroedinger equation. The corresponding stationary wave functions feature an infinite number of spatial oscillations at $r\rightarrow 0$. The ground state (GS) is missing in the
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