Interplay of fractionality and \(\mathcal{PT}\)- symmetry on a 1D lattice

DOI10.1016/J.PHYSLETA.2022.128336OpenAlexW4288734789WikidataQ113866566 ScholiaQ113866566MaRDI QIDQ2172152

Mario I. Molina

Publication date: 15 September 2022

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.11253

zbMATH Keywords

fractional calculusPT-symmetrystability domainsfractional exponentgain/loss

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Discrete version of topics in analysis (39A12) Dynamic critical phenomena in statistical mechanics (82C27)

Cites Work

• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
• Chaos, fractional kinetics, and anomalous transport
• The influence of a line with fast diffusion on Fisher-KPP propagation
• The fractional discrete nonlinear Schrödinger equation
• A fractional free boundary problem related to a plasma problem
• Complex Extension of Quantum Mechanics
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Interplay of fractionality and \(\mathcal{PT}\)- symmetry on a 1D lattice