Hamilton–Jacobi Treatment of Constrained Systems with Second-Order Lagrangians

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• 作者：Rabei ; Eqab M. ; Hasan ; Eyad H. ; Ghassib ; Humam B.
• 关键词：constrained systems ; Hamilton ; Jacoby function ; second ; order Lagrangians
• 刊名：International Journal of Theoretical Physics
• 出版年：2004
• 出版时间：2004
• 年：2004
• 卷：43
• 期：4
• 页码：1073-1096
• 全文大小：118 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

A new approach is examined in this paper for solving mechanical problems for both constrained and unconstrained systems with second-order Lagrangians, using the Hamilton–Jacobi formulation. The relevant Hamilton–Jacobi function is constructed first. This is then used to determine the solutions of the equations of motion for both systems.