以二维中心势和磁通规范势场形成的多连通空间为例,从经典和量子两方面研究了带电粒子的运动轨道和波函数,结果表明:波函数几率云的空间分布与经典轨道完全相同;此外,角动量的分数量子化可以通过量子-经典对应条件唯一确定,而磁通规范势仅使所有波函数产生一共同的拓扑相位,并不改变量子化条件.
参考文献
[1] | Wliczek F.Magnetic flux,angular momentum,and statistics[J].Phys.Rev.Lett.,1982,48(17):1144-1146. |
[2] | Wliczek F.Quantum mechanics of fractional-spin particles[J].Phys.Rev.Left.,1982,49(14):957-959. |
[3] | Wu Y S.Multiparticle quantum mechanics obeying fractional statistics[J].Phys.Rev.Lett.,1984,53(2):111-114. |
[4] | Liang J Q,Ding X X.Path integral in multiply connected spaces and the fractional angular momentum quantization[J].Phys.Rev.A,1987,36:4149-4154. |
[5] | Liang J Q.Analysis of the experiment to determine the spectrum of the angular momentum of a charged-Boson,magnetic-flux-tube composite and the Aharonov-Bohm effect[J].Phys.Rev.Lett.,1984,53(9):859-862. |
[6] | Stern A.Anyons and the quantum Hall effect-A pedagogical review[J].Ann.Phys.,2008,323:204-249. |
[7] | Nayak C,Simon S H,Stern A,et al.Non-Abelian anyons and topological quantum computation[J].Rev.Mod.Phys.,2008,80:1083-1159. |
[8] | Zhang Chengqiang,Ji Changjian,Liu Meng,et al.Decoherence in two-state quantun systems through an external controllable driving field without rotating wave approximation[J].Chinese Journal of Quantum Electronics(量子电子学报),2011,28(6):705-709(in Chinese). |
[9] | Chen Y F.Geometry of classical periodic orbits and quantum coherent states in coupled oscillators with SU(2)transformations[J].Phys.Rev.A,2011,83:032124-032131. |
[10] | Makowski A J,Gorska K J.Fractional and integer angular momentum wavefunctions localized on classical orbits:the case of E =0[J].J.Phys.A:Math.Theor.,2007,40:11373-11383. |
[11] | Liang J Q,WeiL F.The New Process of Quantum Physics(量子物理新进展)[M].Beijing:Science Press,2011:49-66(in Chinese). |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%