Add to ORKGAbstract. Based on the Riesz definition of the fractional derivative the fractional Schrödinger equation with an infinite well potential is investigated. First it is shown analytically, that the solutions of the free fractional Schrödinger equation are not eigenfunctions, but good approximations for large k and for α ≈ 2. The first lowest eigenfunctions are then calculated numerically and an approximate analytic formula for the level spectrum is derived
We consider the following fractional p-Laplacian logarithmic Schrödinger equation: [equaction prese...
By using variational methods, we establish the existence of a suitable range of positive eigenvalues...
By using variational methods, we establish the existence of a suitable range of positive eigenvalues...
In this paper, we numerically study the ground and first excited states of the fractional Schrodinge...
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOThe fractional Schrodinger equat...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)The fractional Schrödinger equat...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
The Schrödinger equation ∂2xΨ(x) = [U(x) − E]Ψ(x) with the potential U(x) = 2ρ1 cos x + 2ρ2 cos(...
In this paper, we present a numerical method for solving the one-dimensional space fractional Schr¨o...
This paper is concerned with the existence of normalized solutions to a class of Schrödinger equatio...
The Sonine–Letnikov fractional derivative provides the generalized Leibniz rule and, some sing...
The fractional calculus includes concepts of integrals and derivatives of any complex or real order....
This book discusses numerical methods for solving partial differential and integral equations, as we...
On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alter...
We collect some interesting results for equations driven by the fractional relativistic Schrödinger...
We consider the following fractional p-Laplacian logarithmic Schrödinger equation: [equaction prese...
By using variational methods, we establish the existence of a suitable range of positive eigenvalues...
By using variational methods, we establish the existence of a suitable range of positive eigenvalues...
In this paper, we numerically study the ground and first excited states of the fractional Schrodinge...
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOThe fractional Schrodinger equat...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)The fractional Schrödinger equat...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
The Schrödinger equation ∂2xΨ(x) = [U(x) − E]Ψ(x) with the potential U(x) = 2ρ1 cos x + 2ρ2 cos(...
In this paper, we present a numerical method for solving the one-dimensional space fractional Schr¨o...
This paper is concerned with the existence of normalized solutions to a class of Schrödinger equatio...
The Sonine–Letnikov fractional derivative provides the generalized Leibniz rule and, some sing...
The fractional calculus includes concepts of integrals and derivatives of any complex or real order....
This book discusses numerical methods for solving partial differential and integral equations, as we...
On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alter...
We collect some interesting results for equations driven by the fractional relativistic Schrödinger...
We consider the following fractional p-Laplacian logarithmic Schrödinger equation: [equaction prese...
By using variational methods, we establish the existence of a suitable range of positive eigenvalues...
By using variational methods, we establish the existence of a suitable range of positive eigenvalues...