拉格朗日力学时常涉及广义位势,因为拉格朗日量的广义式定义包含了广义位势:

其中,是广义位势,动能

定义广义位势为一个函数

满足下述与广义力的关系:

其中,广义坐标广义速度时间

假若一个物理系统满足上述关系,此系统是单演系统

假若一个单演系统的广义位势只跟广义坐标有关,,则此系统是保守系统。广义力与广义位势的关系是

参阅

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