Exact solutions of the Dirac Hamiltonian on the sphere under hyperbolic magnetic fields

DOI10.1155/2014/186425zbMath1425.81037arXiv1406.7430OpenAlexW2068934358WikidataQ59044641 ScholiaQ59044641MaRDI QIDQ2337672

Özlem Yeşiltaş

Publication date: 20 November 2019

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7430

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Uses Software

• CandS

Cites Work

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• Solutions of the Dirac equation in a magnetic field and intertwining operators
• Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schrödinger Hamiltonians
• Weyl-gauge symmetry of graphene
• Curved graphene nanoribbons and tunneling current
• Graphene and the Zermelo optical metric of the BTZ black hole
• Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics
• Dirac equation in \((1+1)\)-dimensional curved space-time
• Graphene wormholes: a condensed matter illustration of Dirac fermions in curved space
• An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
• Stability of impurities with Coulomb potential in graphene with homogeneous magnetic field
• The gravitational analogue to the hydrogen atom
• Exact solution of Dirac equation in 2+1 dimensional gravity
• Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
• First-order symmetries of the Dirac equation in a curved background: a unified dynamical symmetry condition
• SUPERSYMMETRY AND THE DIRAC OSCILLATOR
• Spinors and scalars on Riemann surfaces
• $\mathcal {PT}$ symmetric Hamiltonian model and Dirac equation in 1+1 dimensions
• Position-dependent mass models and their nonlinear characterization

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