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quant-ph2026
Singular wave functions and quantum collapse in inverse-power potentials
Hidetsugu Sakaguchi, Boris Malomed
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 f…
quant-ph2026
Quantum-mechanical wave functions in singular potentials: linear and nonlinear states
Hidetsugu Sakaguchi, Boris A. Malomed
It is known that the attractive singular inverse-square potential gives rise to the critical quantum collapse in the framework of the three-dimensional (3D) linear Schroedinger equ…