一类新型正则方程对广义经典力学的推广

AN EXTENSION OF NEW FORM CANONICAL EQUATIONS TO GENERALIZED CLASSICAL MACHANICS

摘要

摘要:本文首先将一类新型正则方程推广到广义经典力学,得到广义正则方程,确定泊松括号和拉格朗日括号及它们的性质,用泊松括号表示广义正则方程,建立新型Hamilton广义变分原理、Hamilton-jacobi方程。

Abstract:In this paper, the new form canonical equations are extended to the generalized classical mechanics and the generalized canonical equations are obtained. Then the generalized Poisson and Lagrange brackets and their characteristics are defined. The generalized canonical equations are expressed by Poisson bracket notation. In addition, the generalized Hamilton Variational principle and Hamilton-Jacobi's equations are established.