کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1861769 1037541 2009 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Euler–Lagrange equation from nonlocal-in-time kinetic energy of nonconservative system
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Euler–Lagrange equation from nonlocal-in-time kinetic energy of nonconservative system
چکیده انگلیسی

This Letter focuses on studying generalized Euler–Lagrange equation and Hamiltonian framework from nonlocal-in-time kinetic energy of nonconservative system. According to Suykens' approach, we extend his results and formulate some work related to the nonconservative system. With the Lagrangian and nonconservative force in nonlocal-in-time form, we obtain the higher order generalized Euler–Lagrange equation which leads to an extension of Newton's second law of motion. The Hamiltonian is studied in relation to the Lagrangian in the canonical phase space. Finally, the particle with nonconservative force case is studied and compared with quantum mechanical results. The extended equation gives a possible approach for understanding the connection between classical and quantum mechanics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 374, Issue 2, 28 December 2009, Pages 106–109
نویسندگان
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