A new type of Mei adiabatic invariant induced by perturbation to Mei symmetry for nonholonomic mechanical systems 非完整力学系统Mei对称性的摄动及其导致的一类新型Mei绝热不变量
Exact invariant and adiabatic invariant of a general dynamical system 一般动力学系统的精确不变量和绝热不变量
Next, based on the concept of high order adiabatic invariant of mechanical systems, the form of the adiabatic invariant and the conditions for their existence are given; 其次,基于力学系统的高阶绝热不变量的概念,得到了系统的绝热不变量存在的条件及其形式;
We present the concepts of adiabatic orbit, adiabatic evolution orbit, U ( 1)-invariant adiabatic orbit and U ( 1)-invariant adiabatic evolution orbit. 我们提出了绝热轨道、绝热演化轨道及U(1)不变的绝热轨道和绝热演化轨道等概念,重申了绝热演化的含义。
Based on concept of U ( 1)-invariant adiabatic expansion we propose an invariant perturbation theory of quantum adiabatic process, furthermore, we obtain a new adiabatic condition. 并在U(1)变换不变展开的基础上给出了绝热近似不变微扰理论新的绝热条件,并进一步得到了新的绝热条件。