کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8201978 1529852 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The classical and quantum mechanics of a particle on a knot
ترجمه فارسی عنوان
مکانیک کلاسیک و کوانتومی یک ذره در گره
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی
A free particle is constrained to move on a knot obtained by winding around a putative torus. The classical equations of motion for this system are solved in a closed form. The exact energy eigenspectrum, in the thin torus limit, is obtained by mapping the time-independent Schrödinger equation to the Mathieu equation. In the general case, the eigenvalue problem is described by the Hill equation. Finite-thickness corrections are incorporated perturbatively by truncating the Hill equation. Comparisons and contrasts between this problem and the well-studied problem of a particle on a circle (planar rigid rotor) are performed throughout.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 359, August 2015, Pages 20-30
نویسندگان
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