摘要We calculate the long-range Van der Waals force and the photoelectric cross section in a noncommutative setup. It is argued that non-commutativity effects could not be discerned for the Van der Waals interactions. The result for the photoelectric effect shows deviation from the usual commutative one, which in principle can be used to put bounds on the space--space non-commutativity parameter.
Abstract：We calculate the long-range Van der Waals force and the photoelectric cross section in a noncommutative setup. It is argued that non-commutativity effects could not be discerned for the Van der Waals interactions. The result for the photoelectric effect shows deviation from the usual commutative one, which in principle can be used to put bounds on the space--space non-commutativity parameter.
LI Kang;CHAMOUN Nidal;. Van der Waals interactions and Photoelectric Effect in Noncommutative Quantum Mechanics[J]. 中国物理快报, 2007, 24(5): 1183-1186.
LI Kang, CHAMOUN Nidal,. Van der Waals interactions and Photoelectric Effect in Noncommutative Quantum Mechanics. Chin. Phys. Lett., 2007, 24(5): 1183-1186.
[1]Seiberg N and Witten E 1999 J. High Energy Phys. 09 032 and references therein [2] Connes A, Douglas M R and Schwarz A 1998 J. High EnergyPhys. 003 9802 [3] Douglas M R and Hull C M 1998 J. High Energy Phys. 008 9802 (hep-th/9711165) [4] Chu C and Ho P M 2000 Nucl. Phys. B 568 447 [5] Chaichian M, Sheikh--Jabbari M M and Tureanu A 2001 Phys.Rev. Lett. 86 2716 [6] Ho P M and Kao H C 2002 Phys. Rev. Lett. 88 151602 [7] Chaichian M, Sheikh--Jabbari M M and Tureanu A 2004 Eur.Phys. J. C 36 251 [8] Riad I F and Sheikh-Jabbari M M 2000 J. High EnergyPhys. 008 045 Chair N and Sheikh-Jabbari M M 2001 Phys. Lett. B 504 141 Brandt F T and Das A 2002 Phys. Rev. D 65 085017 Wang X J and Yan M L 2002 J. High Energy Phys. 0203 047 Baek S, Ghosh D K, He X G and Hwang W Y 2002 Phys.Rev. D 64 056001 Hewett J L, Petriello F J and Rizzo T G 2002 Phys. Rev. D 66 036001 Carlson C E, Carone C D and Lebed R F 2001 Phys. Lett. B 518 201 Carlson C E, Carone C D and Lebed R F 2002 Phys. Lett. B 549 337 [9] Madore J, Schraml S, Schupp P and Wess J 2000 Eur. Phys.J. C 16 161 Jurco B, Schraml S, Schupp P and Wess J 2000 Eur. Phys. J.C 17 521 Jurco B, Schupp P and Wess J 2001 Nucl. Phys. B 604 148 Jurco B, Moller L, Schraml S Schupp P and Wess J 2001 Eur.Phys. J. C 21 383 [10]Calmet X, Jurco B, Schupp P, Wess J and Wohlgenannt M 2002 Eur. Phys. J. C 23 363 [11] Iltan E 2002 J. High Energy Phys. 0211 029 Iltan E 2002 New J. Phys. 4 54 Iltan E 2002 Phys. Rev. D 66 034011 Cang Z and Xing Z 2002 Phys. Rev. D 66 056009 [12] Mahajan N 2003 Phys. Rev. D 68 095001 Mahajan N 2003 Phys. Lett. B 569 85 [13] Polychronakos A P 2001 J. High Energy Phys. 04 011 [14] Mariz T, Nascimento J R and Ribeiro R F 2003 Phys. Rev.D 68 087701 [15] Djemai A E F and Smail H 2004 Commun. Theor. Phys. 41 837 [16] Li K and Dulat S 2006 Eur. Phys. J. C 45 825 Li K and Dulat S 2006 Mod. Phys. Lett. A 21 2991 [17] Douglas M R and Nekrasov N A 2001 Rev. Mod. Phys. 73 977 [18] Li K, Wang J H and Chen C Y 2005 Mod. Phys. Lett. A 20 2165 [19] See, e.g., Schiff L I 1968 Quantum Mechanics 3rd edn(New York: McGraw-Hill) [20] Mocioiu I, Pospelov M and Roiban R 2000 Phys. Lett. B 489 390 [21] See, e.g., Bethe H and Salpeter E 1977 QuantumMechabnics of One- and Two-Electron Atoms (New York: Plenum) [22] See, e.g., Shankar R 1994 Principles of QuantumMechanics 2nd edn (New York: Plenum)
2007, Vol. 24 
