在非对易空间中Aharonov-Bohm效应和中性粒子的量子相位Quantum Phase of Aharonov-Bohm Effect and Neutral Particles on Noncommutative Space
阿布都外力·艾尼瓦尔;孙冬婷;路彬彬;江涛;贾振红;
摘要(Abstract)：
我们研究了在非对易空间中的Aharonov-Bohm效应和在电磁场中运动的中性粒子的量子相位.通过利用Bopp变换方法,在非对易空间中我们分别得出了对Aharonov-Bohm效应和中性粒子的量子相位.
关键词(KeyWords)： 非对易空间;量子相位;Bopp变换
基金项目(Foundation): 科技部国际科技合作资助项目(2009DFA12870)
作者(Author): 阿布都外力·艾尼瓦尔;孙冬婷;路彬彬;江涛;贾振红;
Email:
DOI:
参考文献(References)：
- [1]Seiberg N,Witten E.String theory and noncommutative geometry[J].JHEP,1999,9909:032.
- [2]Douglas M R,Hull C M.D-branes and the noncommutative torus[J].JHEP,1998,008:9802.
- [3]Chong S C,Ho P M.Non-commutative open string and D-brane[J].Nucl Phys B,1999,550:151.
- [4]Connes A,Douglas M R and Schwarz A.Noncommutative Geometry and Matrix Theory:Compactification on Tori[J].JHEP,1998,003:9802.
- [5]Christiansen H R,Schaposnik F A.Noncommutative quantum mechanics and rotating frames[J].Phys Rev D,2002,65:086005.
- [6]Pei-Ming Ho,Hsien-Chung Kao.Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory[J].Phys Rev Lett,2002,88:151602.
- [7]Chaichian M,Sheikh-Jabbari M M,Tureanu A.Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED[J].Phys Rev Lett,2001,86:2716.
- [8]Nair V P,Polychronakos A P.Quantum mechanics on the noncommutative plane and sphere[J].Phys Lett B,2001,505:267.
- [9]Hatzinikitas A and Smyrnakis I.The noncommutative harmonic oscillator in more than one dimension[J].J Math Phys,2002,43:113.
- [10]Chaichian M,Demichev A.Aharonov–Bohm effect in noncommutative spaces[J].Phys Lett B,2002,527:149.
- [11]Falomir H,Gamboa J,Loewe M.Testing spatial noncommutativity via the Aharonov-Bohm effect[J].Phys Rev D,2002,66:045018.
- [12]Li K,Dulat S.The Aharonov–Bohm effect in noncommutative quantum mechanics[J].Eur Phys J C,2006,46:825.
- [13]Mirza B,Zarei M.Non-commutative quantum mechanics and the Aharonov-Casher effect[J].Eur Phys J C,2003,32:583.
- [14]Li K,Wang J H.The topological AC effect on non-commutative phase space[J].Eur Phys J C,2007,50:1007.
- [15]Mirza B,Narimani R,Zarei M.Aharonov–Casher effect for spin-1 particles in a non-commutative space[J].Eur Phys J C,2006,48:641.
- [16]Dulat S,Li K.The Aharonov–Casher effect for spin-1 particles in non-commutative quantum mechanics[J].Eur Phys J C,2008,54:333.
- [17]Sayipjamal Dulat,et al.The He–Mc Kellar–Wilkens effect for spin one particles in non-commutative quantum mechanics[J].J Phys A:Math Theor,2008,41:065303.
- [18]Harms B,Micu O.Noncommutative quantum Hall effect and Aharonov–Bohm effect[J].J Phys A:Math Theor,2007,40:10337.
- [19]Dulat S,Li K.Quantum Hall effect in noncommutative quantum mechanics[J].Eur Phys J C,2009,60:163.
- [20]Chakraborty B,Gangopadhyay S,Saha A.Seiberg-Witten map and Galilean symmetry violation in a noncommutative planar system[J].Phys Rev D,2004,70:107707.
- [21]Passos E,Ribeiro L R.Noncommutative Anandan quantum phase[J].Phys Rev A,2007,76:012113.
- [22]Aharonov Y,Bohm D.Significance of Electromagnetic Potentials in the Quantum Theory[J].Phys Rev,1959,115:48.
- [23]He X G,Mc Kellar B H J.Topological phase due to electric dipole moment and magnetic monopole interaction[J].Phys Rev A,1993,47:3424.
- [24]Wilkens M.Quantum phase of a moving dipole[J].Phys Rev Lett,1994,72:5.
- [25]Chen Chia-Chu.Topological quantum phase and multipole moment of neutral particles[J].Phys Rev A,1995,51:2611.
- [26]LI Kang,WANG Jianhua,CHEN Chiyi.Repersentation of Noncommutative Phase Space[J].Modern Physics Letters A,2005,20:28.