(1+1)-Dirac bound states in one dimension, with position-dependent Fermi velocity and mass

• Authors: Omar Mustafa
• Languages of publication: EN

Abstracts

EN

We extend Panella and Roy’s [17] work for massless Dirac particles with position-dependent (PD) velocity. We consider Dirac particles where the mass and velocity are both position-dependent. Bound states in the continuum (BIC)-like and discrete bound state solutions are reported. It is observed that BIC-like solutions are not only feasible for the ultra-relativistic (massless) Dirac particles but also for Dirac particles with PDmass and PD-velocity that satisfy the condition m(x) v
F2 (x) = A, where A ≥ 0 is constant. Dirac Pöschl-Teller and harmonic oscillator models are also reported.

Keywords

EN

(1+1)-Dirac equation; position-dependent mass and velocity; bound-states in the continuum; onedimensional heterostructure

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 4
• Pages: 480-486

Dates

published

1 - 4 - 2013

online

22 - 5 - 2013

Contributors

author

Omar Mustafa

• Department of Physics, Eastern Mediterranean University, G. Magusa, north Cyprus, Mersin 10, Turkey

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Identifiers

DOI

10.2478/s11534-013-0202-8