2 . on the degeneracy properties in the dispersion relation of photonic crystal it is an intractable problem to explain the dispersion relation and degeneracy properties in it for photonic crystals 光子晶体色散关系中简并结构的理论研究对于光子晶体的频带结构和频带结构中的简并一直是一个备受关注的问题。
In particular , the bosonic realizations of su ( 1 , 1 ) lie algebra describe the degenerate and non - degenerate parametric amplifiers . and the linear dissipative process can also be described by this algebra 尤其是su ( 1 ， 1 )李代数的玻色子算符实现形式，可以描述简并参数放大器，非简并参数放大器及线性耗散过程。
Stops it from further contracting . an extremely simplified , but not totally correct , picture is that the electron degenerate pressure develops when the electrons are touching each others 虽然过于简略和不准确，但电子简并压力可勉强看成是来自电子挤至互相触碰时所造成的抵抗力成为了抵抗恒星进一步塌缩的主要力量。
Further more , the removal of the degeneracy of the hydrogen atom is discussed , mainly studying the hydrogen atom in two orthogonal non - uniform electric fields and in high uniform magnetic field 本文还对氢原子能级简并解除进行了探讨，主要是研究了处在正交线性非均匀电场中的氢原子以及处在均匀高强度磁场( b 10 ~ 6t )中的氢原子。
Which shared 10 % ~ 73 % identities to other rips from plants and 37 % ~ 73 % to other rjps from cucurbitaceae . six novel rip gene fragments ( 408 ' bp ) , 1 from benincasa hispida and 5 from cucurbit a moschaia 根据葫芦科rip上、下游两段高度保守的氨基酸序列设计简并引物对ly1 ly2 ，对基因组dna进行pcr扩增，首次建立了rip新基因快速筛选体系。
Combining our theoretical analysis , we extend lieb and mattis ' s approaches for finite systems . moreover , the effect of the ground - state degeneracy on the spin status and physical properties are investigated and discussed 结合理论分析，我们把lieb和mattis的定理发展到有限系统，并在此基础上分析了基态的简并对自旋位形和物理性质的影响。
( 4 ) the mn electron orbits of stoichiometric limn2o4 became degenerated and the electrons settled in disordered states at 320k ~ 280k and therefore the resistance of the material increased slowly with the temperature decrease ( 4 )化学量的limn _ 2o _ 4材料，在320k 280k的范围内mn原子轨道电子态简并，电子处于无序状态，材料的电阻随温度的降低，缓慢增加。
Below 280k the degenerated states were relieved and the electrons turned to the ordered states from the disordered , leading to the resistance increase suddenly and the transition from the cubic to the tetragonal structure 280k以后， mn原子轨道电子态的简并被解除，电子由无序向有序状态转变，电阻随温度的降低，急剧增加，材料结构由立方相向四方相转变。
To expose the statistical properties of the degenerated spectrum , with the aid of the random matrix theory , a possible form of the nns distribution function of the degenerate spectrum was proposed by providing a solution in terms of the same - degeneracy case 利用随机矩阵理论，通过对一特殊情形的简并谱展开研究，得到了简并谱一种可能的最小相邻间距nns分布函数。
To expose the statistical properties of the degenerated spectrum , with the aid of the random matrix theory , a possible form of the nns distribution function of the degenerate spectrum was proposed by providing a solution in terms of the same - degeneracy case 摘要利用随机矩阵理论，通过对一特殊情形的简并谱展开研究，得到了简并谱一种可能的最小相邻间距nns分布函数。
