摘要
讨论5种振子运动微分方程在时间反演、空间反射和两种变换复合变换下的变换性质,提出应当研究经典力学中的时空分立变换.验证时空分立变换性质相同的振子系统运动方程可以通过非局域变换相互联系.
The transformation characteristics of differential equations of motion of five oscillators under time reversal,space reflection and their composite transformation are discussed,and it is pointed out that the space-time discrete transformations in classical mechanics should be studied.It is demonstrated that equations of motion of oscillator systems whose transformation characteristics under the space-time discrete transformation are the same may be connected through nonlocal transformations.
出处
《安徽师范大学学报(自然科学版)》
CAS
2015年第6期511-514,523,共5页
Journal of Anhui Normal University(Natural Science)
关键词
经典力学
振子
时间反演
空间反射
非局域变换
classical mechanics
oscillator
time reversal
space reflection
nonlocal transformation