The Noncommutative Landau Problem in Podolsky's Generalized Electrodynamics
DIAO Xin-Feng1** , LONG Chao-Yun2** , KONG Bo1 , LONG Zheng-Wen2
1 School of Physics and Electronic Sciences, Guizhou Normal College, Guiyang 5500182 Department of Physics, Guizhou University, Guiyang 550025
Abstract ：The Landau problem in Podolsky's generalized electrodynamics is studied by the method of diagonalization in noncommutative phase space and we find that the different noncommutative effects for a certain system led by the nonuniqueness of generalized Bopp shift can be avoided. The exact energy eigenvalues are found, and the result shows that the energy spectra are generically non-degenerate. Furthermore, we obtain the special energy spectra of noncommutative space and commutative space.
收稿日期: 2014-12-07
出版日期: 2015-04-30
[1] Connes A, Douglas M R and Schwarz A 1998 J. High Energy Phys. 9802 003 1998 J. High Energy Phys. 9802 008 1999 J. High Energy Phys. 9902 016 2008 Eur. Phys. J. C 54 685 2000 Nucl. Phys. B 568 447 2004 Phys. Lett. B 584 204 1999 J. High Energy Phys. 9909 032 2002 J. Math. Phys. 43 4592 2001 J. Phys. A: Math. Gen. 34 10097 2008 Phys. Lett. B 659 906 2002 Mod. Phys. Lett. A 17 1937 2001 Mod. Phys. Lett. A 16 2075 2005 Phys. Lett. B 609 418 2001 Phys. Rev. D 64 067901 2005 Mod. Phys. Lett. A 20 2165 2009 Phys. Rev. D 79 087703 2005 Phys. Rev. D 72 025010 2008 Phys. Lett. A 372 5556 2009 Europhys. Lett. 86 51001 Acta Phys. Sin. 62 080301 (in Chinese)2013 Chin. Phys. Lett. 30 090304 2014 Chin. Phys. Lett. 31 070303
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2015, Vol. 32 
