کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895456 1533737 2016 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variational contact symmetries of constrained Lagrangians
ترجمه فارسی عنوان
تقارن تماس متغیر از Lagrangians محدود
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی

The investigation of contact symmetries of re-parametrization invariant Lagrangians of finite degrees of freedom and quadratic in the velocities is presented. The main concern of the paper is those symmetry generators which depend linearly in the velocities. A natural extension of the symmetry generator along the lapse function N(t)N(t), with the appropriate extension of the dependence in Ṅ(t) of the gauge function, is assumed; this action yields new results. The central finding is that the integrals of motion are either linear or quadratic in velocities and are generated, respectively by the conformal Killing vector fields and the conformal Killing tensors of the configuration space metric deduced from the kinetic part of the Lagrangian (with appropriate conformal factors). The freedom of re-parametrization allows one to appropriately scale N(t)N(t), so that the potential becomes constant; in this case the integrals of motion can be constructed from the Killing fields and Killing tensors of the scaled metric. A rather interesting result is the non-necessity of the gauge function in Noether’s theorem due to the presence of the Hamiltonian constraint.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 101, March 2016, Pages 52–64
نویسندگان
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