Fractional Schrödinger operator with delta potential localized on circle
From MaRDI portal
Publication:2861766
DOI10.1063/1.3691199zbMath1274.81081OpenAlexW1967540291MaRDI QIDQ2861766
Publication date: 11 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3691199
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fractional partial differential equations (35R11)
Related Items (3)
Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ Fractional calculus via Laplace transform and its application in relaxation processes ⋮ Scattering problems in the fractional quantum mechanics governed by the 2D space-fractional Schrödinger equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional quantum mechanics and Lévy path integrals
- Curvature-induced bound states for a \(\delta\) interaction supported by a curve in \(\mathbb{R}^3\)
- Perturbation of Dirichlet forms by measures
- Geometrically induced spectrum in curved leaky wires
- Fractals and quantum mechanics
- Tunneling in fractional quantum mechanics
- Some physical applications of fractional Schrödinger equation
- Some solutions to the space fractional Schrödinger equation using momentum representation method
- Numerical solutions to integral equations equivalent to differential equations with fractional time
- Bound states due to a strong interaction supported by a curved surface
- Time fractional Schrödinger equation
- On the nonlocality of the fractional Schrödinger equation
- The fractional Schrödinger equation for delta potentials
- Spectra of soft ring graphs
- A Krein-like formula for singular perturbations of self-adjoint operators and applications
This page was built for publication: Fractional Schrödinger operator with delta potential localized on circle