Articles with "singular potentials" as a keyword



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On Littlewood's boundedness problem for relativistic oscillators with singular potentials

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Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2016.12.081

Abstract: Abstract In this paper, we study the following nonlinear differential equations of motions of relativistic oscillators with singular potentials d d t ( x ′ 1 − ( x ′ ) 2 ) + V… read more here.

Keywords: relativistic oscillators; littlewood boundedness; oscillators singular; boundedness problem ... See more keywords
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Fractional Schrödinger Equation with Singular Potentials of Higher Order

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Published in 2021 at "Reports on Mathematical Physics"

DOI: 10.1016/s0034-4877(21)00016-1

Abstract: In this paper the space-fractional Schrodinger equations with singular potentials are studied. Delta like or even higher-order singularities are allowed. By using the regularising techniques, we introduce a family of ‘weakened’ solutions, calling them very… read more here.

Keywords: schr dinger; dinger equation; higher order; singular potentials ... See more keywords