Dirac oscillator in noncommutative space

S. S. Hosseini; S. Zarrinkamar

doi:10.1088/1674-1137/38/6/063104

Chinese Physics C> 2014, Vol. 38> Issue(6) : 063104 DOI: 10.1088/1674-1137/38/6/063104

Dirac oscillator in noncommutative space

Abstract
HTML
Reference
Related

PDF

Abstract：
We study the Dirac oscillator problem in the presence of the Aharonov-Bohm effect with the harmonic potential in commutative and noncommutative spaces in S=V and S=-V symmetry limits. We calculate exact energy levels and the corresponding eigenfunctions by the Nikiforov-Uvarov (NU) method and report the impact of the spin and the magnetic flux on the problem. Helpful numerical data is included.

References

[1]

Moshinsky M, Szczepaniak A. J. Phys. A: Math. Gen, 1989, 22: 817[2] Moshinsky M, Smirnov Y F. The Harmonic Oscillator in Modern Physics. Amsterdam: Harwood Academic Publishers, 1996[3] Rozmej P, Arvieu R. J. Phys. A, 1999, 32: 5367[4] Pacheco M H, Landim R R, Almeida C A S. Phys. Lett. A, 2003, 311: 93[5] Seiberg N, Witten E. JHEP, 1999, 09: 032[6] Seiberg N, Susskind L, Toumbas N. JHEP, 2000, 06: 044[7] Douglas M R, Nekrasov N A. Rev. Mod. Phys., 2001, 73: 977[8] Connes A, Douglas M R, Schwarz A. JHEP, 1998, 02: 003[9] Susskind L. arXiv: hepth/0101029[10] Moffat J W. Phys. Lett. B, 2000, 493: 142[11] Duval C, Horvathy P A. Phys. Lett. B, 2000, 479: 284[12] Chaichian M, Sheikh-Jabbari M M, Tureanu A. Phys. Rev. Lett., 2001, 86: 2716[13] Mirza B, Zarei M. Eur. Phys. J. C, 2004, 32: 583[14] Horvathy P A. Ann. Phys. (N.Y.), 2002, 299: 128[15] Gol'dman I I et al. Problems in Quantum Mechanics. New York: Academic Press, 1960. 308[16] Seiberg N, Witten E. JHEP, 1999, 09: 032[17] Douglas M R, Nekrasov N A. Rev. Mod. Phys., 2001, 73: 977[18] Bertolami O et al. Phys. Rev. D, 2005, 72: 025010[19] Araki T, Ito K, Ohtsuka A. Phys. Lett. B, 2003, 573: 209[20] Aharonov Y, Bohm D. Phys. Rev., 1959, 115: 485[21] Connes A, Douglas M, Schwarz A. JHEP, 1998, 9802: 003[22] Cheung Y, Krogh M. Nucl. Phys. B, 1999, 528: 185[23] Chu C, Ho P. Nucl. Phys. B, 1999, 550: 151[24] Zhang J Z. Phys. Lett. B, 2004, 584: 204[25] Ferkous N, Bounames A. Phys. Lett. A, 2004, 325: 21[26] Hagen C R. Phys. Rev. Lett., 1990, 64: 503[27] Hagen C R. Int. J. Mod. Phys. A, 1991, 6: 3119[28] DONG S H, SUN G H , Lozada-Cassou M. Phys. Lett. A, 2004, 328: 299[29] ZHANG M C, SUN G H, DONG S H. Phys. Lett. A, 2010, 374: 704[30] Miranda M G, SUN G H, DONG S H. Int. J. Mod. Phys. E, 2010, 19: 123[31] Nikiforov A F, Uvarov V B. Special Function of Mathematical Physics. Basel: Birkhauser, 1988[32] Tezcan C, R. Sever R. Int. J. Theor. Phys, 2009, 48: 337

[1]	Andrea Addazi , Pierluigi Belli , Rita Bernabei , Antonino Marcianò . Testing noncommutative spacetimes and violations of the Pauli Exclusion Principle through underground experiments. Chinese Physics C, 2018, 42(9): 094001. doi: 10.1088/1674-1137/42/9/094001
[2]	Mustapha Maamache , Jeong Ryeol Choi . Quantum-classical correspondence for the inverted oscillator. Chinese Physics C, 2017, 41(11): 113106. doi: 10.1088/1674-1137/41/11/113106
[3]	WU Qing , ZHOU Li-Juan , XIANG Qian-Fei , MA Wei-Xing . Multiquark cluster form factors in the relativistic harmonic oscillator model. Chinese Physics C, 2015, 39(1): 013102. doi: 10.1088/1674-1137/39/1/013102
[4]	LIANG Jun , LIU Yan-Chun , ZHU Qiao . Thermodynamics of noncommutative geometry inspired black holes based on Maxwell-Boltzmann smeared mass distribution. Chinese Physics C, 2014, 38(2): 025101. doi: 10.1088/1674-1137/38/2/025101
[5]	LIANG Mai-Lin , ZHANG Ya-Bin , YANG Rui-Lin , ZHANG Fu-Lin . Dirac equation with a magnetic field in 3D non-commutative phase space. Chinese Physics C, 2013, 37(6): 063106. doi: 10.1088/1674-1137/37/6/063106
[6]	MA Kai , WANG Jian-Hua , YUAN Yi . Wigner function for the Dirac oscillator in spinor space. Chinese Physics C, 2011, 35(1): 11-15. doi: 10.1088/1674-1137/35/1/003
[7]	TIAN Yu . Drinfeld-Manin instanton and its noncommutative generalization. Chinese Physics C, 2010, 34(10): 1556-1564. doi: 10.1088/1674-1137/34/10/002
[8]	ZHOU Wan-Ping , CAI Shao-Hong , LONG Zheng-Wen . Quantum electrodynamics with arbitrary charge on a noncommutative space. Chinese Physics C, 2009, 33(1): 10-14. doi: 10.1088/1674-1137/33/1/003
[9]	MA Qiao-Sheng , WU Yong , FAN Zhi-Kai , GAN Yan-Qing , JIN Xiao , ZHOU Chuan-Ming . Experimental investigation of backward wave oscillator with low magnetic field. Chinese Physics C, 2008, 32(3): 222-226. doi: 10.1088/1674-1137/32/3/013
[10]	HUANG Wei , XU Wang , YAN Mu-Lin . Backward Compton scattering and QED with noncommutative plane in the strong uniform magnetic field. Chinese Physics C, 2008, 32(5): 342-347. doi: 10.1088/1674-1137/32/5/003
[11]	MA Qiao-Sheng , ZHOU Chuan-Min , WU Yong . Theoretical investigation of a backward wave oscillator. Chinese Physics C, 2008, 32(4): 290-293. doi: 10.1088/1674-1137/32/4/010
[12]	Sayipjamal Dulat , LI Kang , . Landau problem in noncommutative quantum mechanics. Chinese Physics C, 2008, 32(2): 92-95. doi: 10.1088/1674-1137/32/2/003
[13]	WEI Gao-Feng , LONG Chao-Yun , LONG Zheng-Wen , QIN Shui-Jie . Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space. Chinese Physics C, 2008, 32(4): 247-250. doi: 10.1088/1674-1137/32/4/001
[14]	WANG Jian-Hua , LI Kang , Dulat Sayipjamal , . Klein-Gordon oscillators in noncommutative phase space. Chinese Physics C, 2008, 32(10): 803-806. doi: 10.1088/1674-1137/32/10/007
[15]	WANG Jian-Hua , LI Kang . Split Angular Momentum in Noncommutative Phase Space. Chinese Physics C, 2006, 30(11): 1053-1057.
[16]	WANG Jian-Hua , LI Kang , LIU Peng . Energy Splitting of Isotropic Harmonic Oscillator in Noncommutative Phase Space. Chinese Physics C, 2006, 30(5): 387-391.
[17]	WU Dan-Di . Ambiguity of Perturbative Dirac Theory. Chinese Physics C, 1992, 16(2): 183-186.
[18]	LI Yuan-Jie . VACUUM GAP OF DIRAC PARTICLE IN THE STRONG GRAVITY. Chinese Physics C, 1990, 14(3): 236-239.
[19]	LI Yuan-Jie . RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.
[20]	LI Yuan-Jie . VACUUM SOLUTIONS OF DIRAC IN A R-W UNIVERSE. Chinese Physics C, 1988, 12(6): 737-741.

Access

Get Citation

S. S. Hosseini and S. Zarrinkamar. Dirac oscillator in noncommutative space[J]. Chinese Physics C, 2014, 38(6): 063104. doi: 10.1088/1674-1137/38/6/063104

S. S. Hosseini and S. Zarrinkamar. Dirac oscillator in noncommutative space[J]. Chinese Physics C, 2014, 38(6): 063104. doi: 10.1088/1674-1137/38/6/063104 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2013-07-11
Revised: 2013-12-09

Article Metric

Article Views(1486)
PDF Downloads(250)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Dirac oscillator in noncommutative space

Received Date: 2013-07-11

Accepted Date: 2013-12-09

Available Online: 2014-06-05

Abstract: We study the Dirac oscillator problem in the presence of the Aharonov-Bohm effect with the harmonic potential in commutative and noncommutative spaces in S=V and S=-V symmetry limits. We calculate exact energy levels and the corresponding eigenfunctions by the Nikiforov-Uvarov (NU) method and report the impact of the spin and the magnetic flux on the problem. Helpful numerical data is included.

HTML

Reference (1)

Dirac oscillator in noncommutative space

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Dirac oscillator in noncommutative space

HTML

目录