1) semiclassical limit
半经典极限
1.
First the existence of the thermal equilibrium solutions and the semiclassical limit results are obtained through the energy estimating method.
首先运用能量估计方法得到了热平衡态解的存在性与半经典极限结果。
2) classical limit
经典极限
1.
Quantum oscillator and classical limit of quantum system;
量子谐振子与量子系统的经典极限
2.
The time evolution equation and some constants of the motion are obtained that describe the single three dimensional harmonic oscillator and the classical limits.
采用双波函数的量子理论对三维谐振子进行了研究 ,得到了三维谐振子力学量的时间演化方程及其经典极限 ,证明了三维各向同性谐振子的角动量是守恒
3.
The rigorous calculation to quantum motion in one infinite potential square well shows that the expectation value of a quantum mechanical quantity on equally weighted wave packet in the classical limit tends to the Fejér mean value of the Fourier series of corresponding classical quantity,rather than Fourier series itself.
通过对一维无限深势阱的量子运动严格的解析计算表明 ,经典极限下 ,量子力学中的物理量在等权波包下的期望值 ,趋于经典力学量的傅立叶级数的 Fejér平均值 ,而不是傅立叶级数本身 。
3) semi-classical limit
半古典极限
1.
We also study the semi-classical limit.
研究一类半导体稳态模型的混合边值问题解的存在性,同时也研究了其半古典极限问题。
5) quasiclassical limit
拟经典极限
1.
Via the quasiclassical limit method, this article deduces the dispersionless KdV hierarchy with self-consistent sources as well as their conservation equations for the first time.
本文通过求拟经典极限的方法从带自相容源的KdV方程簇首次推导出带自相容源的无色散KdV方程簇(dKdVHWS)，并从相应的Lax对推导出dKdVHWS的守恒方程；同时给出了dKdVHWS的Hamiltonian结构，并应用hodograph变换给出带自相容源的无色散KdV方程的隐式解；作为推广情形，本文从带白相容源的Gelfand-Dickey方程簇出发，通过取拟经典极限推导出带自相容源的无色散Gelfand-Dickey方程簇(dGDHWS)及其对应的守恒方程。
6) classical limitation of quantum mechanics
量子力学经典极限
补充资料：经典半单环
经典半单环
classical semi - simple ring
经典半单环[d班‘司朋mi一simPle ring;K朋cc阴e-eK“no几y帅oeToe KoJ‘u01 Jacd洲犯根(Jacobson radical)为零的结合右卢Jtin环(或等价地，左Artin环)Wedde由山m一A丙n定理(Wedderbum一Artin theorem)刻画了这类环的结构.经典半单环类也可用同调性质刻画，见环的同调分类(homolog以1 dassifi以tion of rin乡).当域的特征数与群阶数互素时，域__仁每个有限群的群代数(g劝upal罗bra)是经典半单环.交换的经典半单环是域的有限直和.与经典半单环有关的Goklie定理(G。似ie the-orem)断言:一个环的经典左分式环是经典半单的，当且仅当它满足左零因子极大条件且不包含任意由左理想组成的无限直和.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条