PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2013 | 11 | 4 | 480-486
Article title

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

Authors
Content
Title variants
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.
Publisher

Journal
Year
Volume
11
Issue
4
Pages
480-486
Physical description
Dates
published
1 - 4 - 2013
online
22 - 5 - 2013
Contributors
author
  • Department of Physics, Eastern Mediterranean University, G. Magusa, north Cyprus, Mersin 10, Turkey, omar.mustafa@emu.edu.tr
References
  • [1] O. Von Roos, Phys. Rev. B 27, 7547 (1983) http://dx.doi.org/10.1103/PhysRevB.27.7547[Crossref]
  • [2] O. Mustafa, S. Habib Mazharimousavi, Int. J. Theor. Phys. 46, 1786 (2007) http://dx.doi.org/10.1007/s10773-006-9311-0[Crossref]
  • [3] O. Mustafa, S. Habib Mazharimousavi, Phys. Scr. 82, 065013 (2010) http://dx.doi.org/10.1088/0031-8949/82/06/065013[Crossref]
  • [4] O. Mustafa, S. Habib Mazharimousavi, J. Phys. A: Math. Gen. 39, 10537 (2006) http://dx.doi.org/10.1088/0305-4470/39/33/020[Crossref]
  • [5] O. Mustafa, J Phys A: Math. Theor. 44, 355303 (2011) http://dx.doi.org/10.1088/1751-8113/44/35/355303[Crossref]
  • [6] O. Mustafa, S. Habib Mazharimousavi, Phys. Lett. A 373, 325 (2009) http://dx.doi.org/10.1016/j.physleta.2008.12.001[Crossref]
  • [7] B. Roy, P Roy, Phys. Lett. A 340, 70 (2005) http://dx.doi.org/10.1016/j.physleta.2005.04.010[Crossref]
  • [8] K. S. Novoselov et al., Science 306, 666 (2004) http://dx.doi.org/10.1126/science.1102896[Crossref]
  • [9] K. S. Novoselov et al., Proc. Natl Acad. Sci. USA 102, 10451 (2005) http://dx.doi.org/10.1073/pnas.0502848102[Crossref]
  • [10] N. M. Peres, J. Phys. Condens. Matter 21, 095501 (2009) http://dx.doi.org/10.1088/0953-8984/21/9/095501[Crossref]
  • [11] M. V. Medvedeva, J. Tworzdlo, C. W. Beenakker, Phys. Rev. B 81, 214203 (2010) http://dx.doi.org/10.1103/PhysRevB.81.214203[Crossref]
  • [12] A. De Martino, Solid State Comm. 144, 547 (2007) http://dx.doi.org/10.1016/j.ssc.2007.03.062[Crossref]
  • [13] T. K. Ghosh, J. Phys. Condens. Matter. 21, 045505 (2009) http://dx.doi.org/10.1088/0953-8984/21/4/045505[Crossref]
  • [14] A. Raoux et al., Phys. Rev. B 81, 073407 (2010) http://dx.doi.org/10.1103/PhysRevB.81.073407[Crossref]
  • [15] A. Concha, Z. Tesanovic, Phys. Rev. B 82, 033413 (2010) http://dx.doi.org/10.1103/PhysRevB.82.033413[Crossref]
  • [16] E. N. Bulgakov, A. F. Sadreev, Phys. Rev. B 78, 075105 (2008) http://dx.doi.org/10.1103/PhysRevB.78.075105[Crossref]
  • [17] O. Panella, P. Roy, Phys. Lett. A 376, 2580 (2012) http://dx.doi.org/10.1016/j.physleta.2012.07.002[Crossref]
  • [18] J. von Neumann, E. Wigner, Phys. Z. 30, 465 (1929)
  • [19] J. Zhang, D. Braak, M. kollar, Phys. Rev. Lett. 109, 116405 (2012) http://dx.doi.org/10.1103/PhysRevLett.109.116405[Crossref]
  • [20] O. Mustafa, S. Habib Mazharimousavi, Int. J. Theor. Phys. 47, 1112 (2008) http://dx.doi.org/10.1007/s10773-007-9539-3[Crossref]
  • [21] O. Mustafa, S. Habib Mazharimousavi, Phys. Lett. A 358, 259 (2006) http://dx.doi.org/10.1016/j.physleta.2006.05.037[Crossref]
  • [22] S. Flügge, Practical Quantum Mechanics, (Springer, Berlin, 1974)
  • [23] O. Mustafa, S. Habib Mazharimousavi, Czech. J. Phys. 56, 967 (2006) http://dx.doi.org/10.1007/s10582-006-0392-z[Crossref]
  • [24] O. Mustafa, S. Habib Mazharimousavi, J. Phys. A Math. Theor. 41, 244020 (2008) http://dx.doi.org/10.1088/1751-8113/41/24/244020[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0202-8
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.