Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential

DOI10.1063/1.5001797zbMath1383.82082arXiv1711.03462OpenAlexW2768025003MaRDI QIDQ4599474

Axel Schulze-Halberg, Pinaki Roy

Publication date: 2 January 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03462

zbMATH Keywords

Dirac equationselectron transporttransport processesgraphenenanostructures and nanoparticlestime-dependent Schrödinger equationsclosed and approximate solutions to Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Transport processes in time-dependent statistical mechanics (82C70) Time-dependent Schrödinger equations and Dirac equations (35Q41) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (5)

Electron propagator with vector and scalar energy-dependent potentials in (2+1)-dimensional space–time ⋮ The GUP for non-relativistic Feynman propagator with energy-dependent mass ⋮ The extension of the massless fermion behaviour in the cosmic string spacetime ⋮ DKP Equation with Energy Dependent Potentials ⋮ Quasi-exactly solvable hyperbolic potential and its anti-isospectral counterpart

Cites Work

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• Energy-dependent potentials and the problem of the equivalent local potential
• Some Water Wave Equations and Integrability
• Construction of zero-energy states in graphene through the supersymmetry formalism
• D-Dimensional Dirac Equation for Energy-Dependent Pseudoharmonic and Mie-type Potentials via SUSYQM

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