Hamilton力学中非惯性系的相对论群
Relativity group for noninertial frames in Hamilton's mechanics
摘要：
群E（3）=SO（3）*s T（3）是伽利略群的齐次子群，由旋转角和速度参数化，定义了牛顿力学中惯性粒子坐标系之间的连续变换群。本文证明了非惯性粒子沿满足Hamilton方程的轨迹运动时，其坐标系之间的连续变换群可由Hamilton群Ha（3）=SO（3）* sH（3）给出，其中H（3）是用位置、动量和能量的变化率，即速度、力和功率参数化的Weyl-Heisenberg群。群E（3）是Hamilton群的惯性特例。
英文摘要：
The group E(3)=SO(3) *s T(3), that is the homogeneous subgroup of the Galilei group parameterized by rotation angles and velocities, defines the continuous group of transformations between the frames of inertial particles in Newtonian mechanics. We show in this paper that the continuous group of transformations between the frames of noninertial particles following trajectories that satisfy Hamilton's equations is given by the Hamilton group Ha(3)=SO(3) *s H(3) where H(3) is the Weyl-Heisenberg group that is parameterized by rates of change of position, momentum and energy, i.e. velocity, force and power. The group E(3) is the inertial special case of the Hamilton group.
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