POLYNOMIAL SOLUTIONS OF HEUN EQUATION DESCRIBING FERMIONS IN GRAPHENE

DOI10.1142/S0217979213501907zbMath1280.81036MaRDI QIDQ5745816

Marina-Aura Dariescu, Ciprian Dariescu

Publication date: 31 January 2014

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

Heun functionsquantum Hall effectgraphenerelativistic Dirac equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Global solutions of the biconfluent Heun equation

Cites Work

• Unnamed Item
• Reply to: ``Comment on: `Chiral anomalies and rooted staggered fermions' [Phys. Lett. B 649 (2007) 230 [Phys. Lett. B 649 (2007) 235]]
• A universal conformal field theory approach to the chiral persistent currents in the mesoscopic fractional quantum Hall states
• THE EFFECT OF A VARYING MAGNETIC FIELD ON THE DIRAC FERMION SPECTRUM OF GRAPHENE
• Two interacting electrons in a uniform magnetic field and a parabolic potential: The general closed-form solution
• Heun functions and the energy spectrum of a charged particle on a sphere under a magnetic field and Coulomb force
• On polynomial solutions of the Heun equation
• Quantum Hall effect in graphene: a functional determinant approach
• The finite-temperature relativistic Landau problem and the relativistic quantum Hall effect

This page was built for publication: POLYNOMIAL SOLUTIONS OF HEUN EQUATION DESCRIBING FERMIONS IN GRAPHENE