کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8191465 | 1528864 | 2012 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Kohn condition and exotic Newton-Hooke symmetry in the non-commutative Landau problem
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک هسته ای و انرژی بالا
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چکیده انگلیسی
N “exotic” [alias non-commutative] particles with masses ma, charges ea and non-commutative parameters θa, moving in a uniform magnetic field B, separate into center-of-mass and internal motions if Kohnʼs condition ea/ma=const is supplemented with eaθa=const. Then the center-of-mass behaves as a single exotic particle carrying the total mass and charge of the system, M and e, and a suitably defined non-commutative parameter Î. For vanishing electric field off the critical case eÎBâ 1, the particles perform the usual cyclotronic motion with modified but equal frequency. The system is symmetric under suitable time-dependent translations which span a (4+2)-parameter centrally-extended subgroup of the “exotic” [i.e., two-parameter centrally-extended] Newton-Hooke group. In the critical case B=Bc=(eÎ)â1 the system is frozen into a static “crystal” configuration. Adding a constant electric field, all particles perform, collectively, a cyclotronic motion combined with a drift perpendicular to the electric field when eÎBâ 1. For B=Bc the cyclotronic motion is eliminated and all particles move, collectively, following the Hall law. Our time-dependent symmetries are reduced to the (2+1)-parameter Heisenberg group of centrally-extended translations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters B - Volume 706, Issues 4â5, 5 January 2012, Pages 442-446
Journal: Physics Letters B - Volume 706, Issues 4â5, 5 January 2012, Pages 442-446
نویسندگان
P.-M. Zhang, P.A. Horvathy,