کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5495884 1529835 2017 39 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field
چکیده انگلیسی
A non-relativistic quantum model is considered with a point particle carrying a charge e and moving in the plane pierced by two infinitesimally thin Aharonov-Bohm solenoids and subjected to a perpendicular uniform magnetic field of magnitude B. Relying on a technique originally due to Schulman, Laidlaw and DeWitt which is applicable to Schrödinger operators on multiply connected configuration manifolds a formula is derived for the corresponding heat kernel. As an application of the heat kernel formula, approximate asymptotic expressions are derived for the lowest eigenvalue lying above the first Landau level and for the corresponding eigenfunction while assuming that |eB|R2/(ħc) is large, where R is the distance between the two solenoids.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 376, January 2017, Pages 254-282
نویسندگان
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