中文摘要：

从正则变换入手,讨论经典力学中正则变换的辛描述,得到了正则变换的条件,给出了热力学系统满足正则变换条件的证明,同时给出了在辛体系下电磁波导的正则变换的物理意义.通过正则变换给出在辛体系下力学、热力学、电磁学公式的相似性,在统一理论方面做出有益探讨.

英文摘要：

The symplectic description and transformed condition of canonical transformation are discussed in mechanics.The condition in thermodynamics is proved.The canonical transformation in electromagnetic waveguide is also studied.The conclusion shows that mechanics,thermodynamics and electromagnetic waveguide have a similar structure in symplectic system.It presents a useful attempt to unified theories.