272 citations · 647 across the 53 of their papers we have counts for
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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…
Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates
Chao Kong, Jinqing Li, Guihua Chen +5
We elaborate a mechanism for the creation of stable three-dimensional (3D) solitons in spin-orbit-coupled (SOC) atomic-molecular Bose-Einstein condensate, modeled by the mean-field…
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…
Thermodynamics of free bosons and fermions in the hyperball
Josep Batle, Boris A. Malomed
Many-particle systems pose commonly known computational challenges in quantum theory. The obstacles arise from the difficulty in finding sets of eigenvalues and eigenvectors of the…