Commutative vs. Noncommutative Space Statistical Properties of Two-Dimensional Harmonic Oscillator in Magnetic Field

• Authors: H. Hassanabadi , Z. Derakhshani , S. Zarrinkamar
• Languages of publication: EN

Abstracts

EN

We consider the Schrödinger equation in presence of an external magnetic field in commutative and noncommutative spaces and by solving the equation in an exact analytical manner, report the statistical quantities of the system.

Keywords

EN

02.40.Gh; 03.65.-w; 03.65.Ge; 03.65.Pm

Discipline

• 02.40.Gh: Noncommutative geometry
• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 03.65.Pm: Relativistic wave equations
• 03.65.Ge: Solutions of wave equations: bound states

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 129
• Issue: 1
• Pages: 3-7

Dates

published

2016-01

received

2015-03-03

(unknown)

2015-06-08

Contributors

author

H. Hassanabadi

• Physics Department, Shahrood University of Technology, Shahrood, Iran

author

Z. Derakhshani

• Physics Department, Shahrood University of Technology, Shahrood, Iran

author

S. Zarrinkamar

• Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

References

• [1] G.F. Wei, S.H. Dong, Can. J. Phys. 89, 1225 (2011), doi: 10.1139/p11-119
• [2] G.F. Wei, S.H. Dong, Eur. Phys. J. A 46, 207 (2010), doi: 10.1140/epja/i2010-11031-0
• [3] S.H. Dong, J. Garcia-Ravelo, J. Phys. Scr. 75, 307 (2007), doi: 10.1088/0031-8949/75/3/013
• [4] S.H. Dong, Int. J. Theor. Phys. 39, 1119 (2000), doi: 10.1023/A:1003614810934
• [5] S.H. Dong, Int. J. Theor. Phys. 40, 559 (2001), doi: 10.1023/A:1004119928867
• [6] A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics, Birkhäuser, Basel 1988
• [7] F. Cooper, A. Khare, U. Sukhatme, Phys. Rep. 251, 267 (1995), doi: 10.1016/0370-1573(94)00080-M
• [8] H. Ciftci, R.L. Hall, N. Saad, J. Phys. A Math. Theor. 36, 11807 (2003), doi: 10.1088/0305-4470/36/47/008
• [9] J.C. Slater, Phys. Rev. 81, 385 (1951), doi: 10.1103/PhysRev.81.385
• [10] P.M. Stevenson, Phys. Rev. D 23, 2916 (1981), doi: 10.1103/PhysRevD.23.2916
• [11] S.H. Dong, Z. Ma, G. Espozito, Found. Phys. Lett. 12, 465 (1999), doi: 10.1023/A:1021633411616
• [12] N. Seiberg, E. Witten, J. High Energy Phys. 09, 032 (1999), doi: 10.1088/1126-6708/1999/09/032
• [13] N. Seiberg, L. Susskind, N. Toumbas, J. High Energy Phys. 06, 044 (2000), doi: 10.1088/1126-6708/2000/06/044
• [14] M.R. Douglas, N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001), doi: 10.1103/RevModPhys.73.977
• [15] A. Connes, M.R. Douglas, A. Schwarz, J. High Energy Phys. 02, 003 (1998), doi: 10.1088/1126-6708/1998/02/003
• [16] V. Pasquier, Seminaire Poincaré X, 1 (2007) http://bourbaphy.fr/pasquier.pdf
• [17] H. Hassanabadi, S.S. Hosseini, Z. Molaee, Commun. Theor. Phys. 60, 9 (2013), doi: 10.1088/0253-6102/60/1/02
• [18] V. Santos, R.V. Malufy, C.A.S. Almeida, arXiv: 1401.8051v1
• [19] F.G. Scholtz, L. Gouba, A. Hafver, C.M. Rohwer, J. Phys. A Math. Theor. 42, 175303 (2009), doi: 10.1088/1751-8113/42/17/175303
• [20] F.G. Scholtz, B. Chakraborty, J. Govaerts, S. Vaidya, arXiv: 0709.3357v1 [hep-th] 21 Sep 20
• [21] B.P. Mandal, S.K. Rai, Phys. Lett. A 376, 2467 (2012), doi: 10.1016/j.physleta.2012.07.001
• [22] F.G. Scholtz, J. Govaerts, arXiv: 0810.3064v1 [hep-th] 17 Oct 2008
• [23] J. Gamboa, M. Loewe, F. Méndez, J.C. Rojas, Int. J. Mod. Phys. A 17, 2555 (2002), doi: 10.1142/S0217751X02010960
• [24] H. Hassanabadi, S.S. Hosseini, A. Boumali, S. Zarrinkamar, J. Math. Phys. 55, 033502 (2014), doi: 10.1063/1.4866978
• [25] T. Curtright, D. Fairlie, C. Zachos, Phys. Rev. D 58, 025002 (1998), doi: 10.1103/PhysRevD.58.025002
• [26] E. Maghsoodi, H. Hassanabadi, S. Zarrinkamar, Chin. Phys. B 22, 030302 (2013), doi: 10.1088/1674-1056/22/3/030302
• [27] C. Tezcan, R. Sever, Int. J. Theor. Phys. 48, 337 (2009), doi: 10.1007/s10773-007-9613-x

Identifiers

DOI

10.12693/APhysPolA.129.3