Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential
arXiv:1711.03462 · doi:10.1063/1.5001797
Abstract
We study the two-dimensional massless Dirac equation for a potential that is allowed to depend on the energy and on one of the spatial variables. After determining a modified orthogonality relation and norm for such systems, we present an application involving an energy-dependent version of the hyperbolic Scarf potential. We construct closed-form bound state solutions of the associated Dirac equation.
References in corpus (17)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Introduction to PT-Symmetric Quantum Theory
- The zero-energy state in graphene in a high magnetic field
- The Electronic Spectrum of Fullerenes from the Dirac Equation
- Smooth electron waveguides in graphene
- Wave equations with energy dependent potentials
- Zero-energy states in graphene quantum dots and rings
- Quasi-exact solution to the Dirac equation for the hyperbolic secant potential
- Structure of Lambda(1405) and construction of KbarN local potential based on chiral SU(3) dynamics
- Two-dimensional Dirac particles in a Pöschl-Teller waveguide
- Spectrally isomorphic Dirac systems: graphene in electromagnetic field
- Construction of zero energy states in graphene through the supersymmetry formalism
- On zero energy states in graphene
- An analysis of the zero energy states in graphene
- Localization of Dirac-like excitations in graphene in the presence of smooth inhomogeneous magnetic fields
- Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials
Cited by in corpus (4)
- Guided modes and terahertz transitions for two-dimensional Dirac fermions in a smooth double-well potential
- Non-Relativistic and Relativistic Equations for the Kratzer Potential plus a Dipole in 2D Systems
- Quasi-exactly solvable hyperbolic potential and its anti-isospectral counterpart
- Solutions of (1+1)-dimensional Dirac equation associated with exceptional orthogonal polynomials and the parametric symmetry