کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1259054 1496523 2013 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Constrained motion of a particle on an elliptical path
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
Constrained motion of a particle on an elliptical path
چکیده انگلیسی

In this work we investigate the constrained motion of a particle on an ellipse in the framework of two approaches: the standard approach and Dirac’s approach. The Poisson brackets and the Dirac brackets of the generalized variables are calculated by using Scardicchio’s technique, and it is observed that there exist nonconserved quantities in the system. On the quantum level, the nonvanishing commutators between the generalized variables lead to the principle of uncertainty. However, in the limit case of motion on a circle the generalized momentum is found to be a constant of motion.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Association of Arab Universities for Basic and Applied Sciences - Volume 14, Issue 1, October 2013, Pages 28–31
نویسندگان
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