کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1853526 1034275 2008 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gauge covariance of the Aharonov–Bohm phase in noncommutative quantum mechanics
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک هسته ای و انرژی بالا
پیش نمایش صفحه اول مقاله
Gauge covariance of the Aharonov–Bohm phase in noncommutative quantum mechanics
چکیده انگلیسی

The gauge covariance of the wave function phase factor in noncommutative quantum mechanics (NCQM) is discussed. We show that the naive path integral formulation and an approach where one shifts the coordinates of NCQM in the presence of a background vector potential leads to the gauge non-covariance of the phase factor. Due to this fact, the Aharonov–Bohm phase in NCQM which is evaluated through the path-integral or by shifting the coordinates is neither gauge invariant nor gauge covariant. We show that the gauge covariant Aharonov–Bohm effect should be described by using the noncommutative Wilson lines, what is consistent with the noncommutative Schrödinger equation. This approach can ultimately be used for deriving an analogue of the Dirac quantization condition for the magnetic monopole.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters B - Volume 666, Issue 2, 14 August 2008, Pages 199–204
نویسندگان
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