Simple exact solutions and asymptotic localized solutions of the two-dimensional massless Dirac equation for graphene

DOI10.1134/S0040577918070061zbMath1401.82065OpenAlexW2886122559WikidataQ129436314 ScholiaQ129436314MaRDI QIDQ1616297

Anton A. Tolchennikov

Publication date: 1 November 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918070061

zbMATH Keywords

exact solutioncreation operatormassless Dirac equation for graphene

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (2)

Solution of the two-dimensional Dirac equation with a linear potential and a localized initial condition ⋮ On the effect of intersection of characteristics in a two-dimensional massless Dirac equation with linear potential and localized initial condition

Cites Work

• Creation operators in the problem of localized solutions of the linearized shallow water equations with regular and singular characteristics
• A class of exact algebraic localized solutions of the multidimensional wave equation
• Asymptotic solutions of the linear shallow-water equations with localized initial data
• New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems
• Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
• Simple asymptotic solution of the Cauchy-Poisson problem for head waves
• Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients

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