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  1. 1 Mustafa O.

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

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Mustafa O.
Open Physics
|
2013
|
vol. 11
|
issue 4
480-486
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.
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