GENERALIZED WHITTAKER EQUATIONS AND FIELD METHOD IN GENERALIZED CLASSICAL MECHANICS

This paper presents the energy integral in generalized classical mechanics.Theintegral enables us to reduce a given canonical system with2n order to another system withonly(2n-2)order and to obtain generalized Whittaker equations.And then,this paperextends a field method integrating the equations of motion for classical mechanics togeneralized classical mechanics.Finally,this paper gives an example to illustrate theapplication of these equations and the field method.