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1)  generalized magnetic-field
广义磁场
1.
By using multimode squeezing state theory,this paper makes a detailed study of the unequal-power higher-power amplitude-squeezing of generalized magnetic-field of 4MFSS light field in medium and it is found that 1) under certain conditions,the generalized magnetic-field of 4MFSS light field shows periodical generalized .
利用多模压缩态理论,对介质中4MFSS光场广义磁场分量的不等幂次高次振幅压缩效应进行了详细的研究。
2)  generalized magnetic field component
广义磁场分量
1.
The properties of the Equal-power amplitude squeezing of the generalized magnetic field component in the five state superposition multimode superposition state light field |Ψ~((5))〉_q is studied in detail by utilizing the multimode squeezed state theory.
构造了五态叠加多模叠加态光场|Ψ(5)〉q,利用多模压缩态理论研究了态|Ψ(5)〉q的广义磁场分量的等幂次N次振幅压缩特性。
2.
The properties of the equalorder Nth order Hsqueezing of the generalized magnetic field component in state Ψ(4)e,Ⅲ>q are studied in detail by using multimode squeezed state theory.
结果表明,当腔模总数q与压缩次数N的乘积qN=4m(m=1,2,3,…)时,态Ψ(4)e,Ⅲ〉q的广义磁场分量可恒处于等幂次N H最小测不准态;当qN=4m′+2(m′=0,1,2,3,…)时,若态间的初始相位差(θ1-θ2)、各模初始相位和∑qR2j分别满足一定取值φj及各模平均光子数之和∑qj=1j=1条件,态Ψ(4)e,Ⅲ〉q的广义磁场分量可呈现周期性等幂次N次方H压缩效应。
3)  generalized magnetic-field component
广义磁场分量
1.
Effects of generalized nonlinear unequal-power higher-power sum-squeezing of superposition state light-field composed of the two different multimode functional coherent states-unequal higher power sum-squeezing of generalized magnetic-field component;
两多模泛函相干态叠加态的高次和压缩——广义磁场分量的不等幂次高次和压缩效应
2.
The properties of the equal-power Y-squeezing of the state |Ψ~((4))〉_q generalized magnetic-field component of four state superposition multimode superposition state light field |Ψ~((4))〉_q are studied in detail by utilizing multimode squeezed state theory.
根据量子力学中的态叠加原理,应用多模压缩态理论,研究了态|Ψ(4)〉q广义磁场分量的等幂次压缩特性,构造了四态叠加多模叠加态光场|Ψ(4)〉q。
4)  generalized electrical-field
广义电场
1.
The unequal-power Nj-th power Y-squeezing of generalized electrical-field of 4MFSS light field in the medium;
介质中4MFSS光场广义电场的不等幂次N_j次方Y压缩
2.
The sum-squeezing of generalized electrical-field of multimode functional superposition state light field in medium;
介质中多模泛函叠加态光场广义电场的高次和压缩
3.
Unequal-order H-squeezing of generalized electrical-field of multimode functional superposition state light field in medium;
介质中多模泛函叠加态光场广义电场的不等幂次H压缩
5)  generalized gaussian field
广义高斯场
1.
In this paper, we discuss the linear large deviation principle of generalized gaussian field.
本文考虑广义高斯场的线性大偏差。
6)  generalized free field
广义自由场
补充资料:Соболев广义导数


Соболев广义导数
Sobolev generalized derivative

【补注】在西方文献中,O众泪玲B广义导数称为弱导数(,祀ak deri珑币ve)或分布导数(dis川h川0刊目山幻W币记).。6o二。广义导数【S诵川eVg留司加团山滋.d视;Co-60二皿0606川e一。朋”Po“3即及”a“」 局部可积函数的局部可积‘广义导数(见广义函数(罗ne阁讼沮丘mctlon)). 确切地说,假设Q是n维空间R”的开集,F和.厂都是Q上局部可积函数,那么f是F在Q上羊于x,的。分叨e”广冬停导攀记为 斋(·,一f‘·,,·〔“,,一’,‘’,”,是指对O上所有具紧支集的无限次可微函数价,等式 fF(二)李竺d二=一ff(二、耐,、d二 J OX,夕- 日-一]O成立.C改沁朋B广义导数在O上仅对几乎处处的戈有定义. 一个等价的定义如下.假设Q上局部可积函数F能在某个陀维零测度集上改变它的值成为这样一个函数,使后者对几乎所有(依”一1维测度)的点(x,,·,x,一;,毛十,,“‘,x。)关于x,是一元局部绝对连续的于是F对几乎所有的x〔。,存在关于xj的通常偏导数.如果后者局部可积,则称它为O石如cB广义导数. 第三种等价的定义是:给定两个函数F与f,若在。上存在连续可微函数列遥凡},使对其闭包含于Q的任意区域田都有 J!r*(x)一F(x)‘dx一0, rl刁F‘(x飞_、} )}二成一一了“’}“x一“,“一的,则f就是F在Q上的O力期eB广义导数. F在Q上的高阶广义导数(若存在) a 2 F a3F 口x。ax,’ax.口x,刁x。’可由归纳法定义.它们与微分的次序无关;例如在Q上几乎处处有 J ZF_刁ZF 日x.刁x,日x,己x,’
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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