Minimal Length Quantum Mechanics of Dirac Particles in Noncommutative Space
A. N. Ikot1** , H. P. Obong1 , H. Hassanabadi2
1 Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba PMB 5323, Nigeria2 Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
Abstract ：We study the two-dimensional harmonic oscillator in commutative and noncommutative space within the framework of minimal length quantum mechanics for spin-1/2 particles. The energy spectra and the eigenfunction are obtained in both cases. Special cases are also deduced.
出版日期: 2015-02-26
[1] Hossenfelder S 2013 Living Rev. Relativ. 16 2 1993 Phys. Lett. B 319 83 1995 Int. J. Mod. Phys. A 10 145 1988 Nucl. Phys. B 303 407 1993 Phys. Lett. B 304 65 1999 Phys. Lett. B 452 39 2008 Class. Quantum Grav. 25 095006 2001 Phys. Lett. B 510 255 2007 SIGMA 3 016 2000 J. Phys. A 33 9265 2006 Gen. Relativ. Gravit. 38 735 2013 Phys. Lett. B 718 1111 2013 Eur. Phys. J. Plus 128 25 2014 Few Body Syst. 55 255 2013 Int. J. Mod. Phys. A 28 1350041 2006 Phys. Rev. D 74 036002 2002 Phys. Rev. D 65 125027 1995 Phys. Rev. D 52 1108 1990 Phys. Lett. B 234 0276 2013 Adv. High Energy Phys. 2013 923686 2014 Eur. Phys. J. Plus 129 79 2010 Chin. Phys. C 34 543 1996 Nucl. Phys. B 460 335 1994 Phys. Rev. D 49 5182 2005 Phys. Rev. D 71 026010 2011 Phys. Rev. D 84 044013 2008 Phys. Rev. Lett. 101 221301 2010 Commun. Theor. Phys. 53 231 2014 Commun. Theor. Phys. 61 436 2014 Eur. Phys. J. Plus 129 43 Special Functions of Mathematical Physics (Basel: Birkhauser)2009 Int. J. Theor. Phys. 48 337
[1]
.
[2]
.
[3]
.
[4]
LIN Bing-Sheng**;HENG Tai-Hua
. Energy Spectra of the Harmonic Oscillator in a Generalized Noncommutative Phase Space of Arbitrary Dimension
[5]
YU Xiao-Min;LI Kang. Non-Commutative Fock--Darwin System and Magnetic Field Limits
[6]
WANG Jian-Hua; LI Kang;. He--McKellar--Wilkens Effect in Noncommutative Space
[7]
S. A. Alavi. General Noncommuting Curvilinear Coordinates and Fluid Mechanics
[8]
XIONG Chuan-Hua. Noncommutativity in Haldane’s Model
[9]
S. A. Alavi. One-Dimensional Potentials in q Space
2015, Vol. 32 
