Fractional Schrödinger equation with singular potentials of higher order

DOI10.1016/S0034-4877(21)00016-1MaRDI QIDQ2664199

Arshyn Altybay, Mohammed Elamine Sebih, Michael Ruzhansky, N. E. Tokmagambetov

Publication date: 20 April 2021

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10182

zbMATH Keywords

Schrödinger equationregularisationnumerical analysisgeneralised solutionfractional Laplaciansingular potentialvery weak solutiondistributional coefficient

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (9)

Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case ⋮ Multiplicity results for nonlocal critical problems involving Hardy potential in the whole space ⋮ Stochastic parabolic equations with singular potentials ⋮ Inhomogeneous wave equation with \(t\)-dependent singular coefficients ⋮ Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential ⋮ Schrödinger equation with singular position dependent mass ⋮ The Euler-Bernoulli equation with distributional coefficients and forces ⋮ On the wave equation with multiplicities and space-dependent irregular coefficients ⋮ Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional Schrödinger equation in the presence of the linear potential
• Fractional quantum mechanics and Lévy path integrals
• The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach
• On a very weak solution of the wave equation for a Hamiltonian in a singular electromagnetic field
• Wave equation for operators with discrete spectrum and irregular propagation speed
• Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters
• Fractional Klein-Gordon equation with singular mass
• A numerical method for fractional Schrödinger equation of Lennard-Jones potential
• The fractional Schrödinger equation with singular potential and measure data
• Hyperbolic second order equations with non-regular time dependent coefficients
• On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity
• Tunneling in fractional quantum mechanics
• Some physical applications of fractional Schrödinger equation
• Methods for Partial Differential Equations
• Fractional Quantum Mechanics
• On the decay at infinity of solutions of fractional Schrödinger equations
• The fractional Schrödinger equation for delta potentials
• Time dependent solutions for a fractional Schrödinger equation with delta potentials

This page was built for publication: Fractional Schrödinger equation with singular potentials of higher order