The effect of gravitational wave (GW) on phonon in crystal lattice space with spiral dislocation is expressed as a gravitational perturbation in topological phonon space with background of the spiral dislocation.This is a new-type effect form of the GW field to the phonon.The corresponding phonon solutions are given.
{"title":"Gravitational Perturbation in Topological Phonon Space","authors":"Li Fang-yu, Luo Dun, Tang Meng-xi","doi":"10.1360/YA1994-37-2-199","DOIUrl":"https://doi.org/10.1360/YA1994-37-2-199","url":null,"abstract":"The effect of gravitational wave (GW) on phonon in crystal lattice space with spiral dislocation is expressed as a gravitational perturbation in topological phonon space with background of the spiral dislocation.This is a new-type effect form of the GW field to the phonon.The corresponding phonon solutions are given.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116358098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Chen Jirui, Hong Guo-Beng, Guo Lv-Rong, Dai Chao-meng
Jn this paper,a new holographic recording material,nongelatin dichromated holographic film (NGU).is reported.The NGD holograms exhibit stronger real time effect,higher diffraction efficiency,better humidity,stability,stronger surface relief modulation,etc.An experimental study of the influence of electron donors on real time diffraction efficiency (RTDE) of NGD holograms has been earned out,and the anti-humidity mechanism of holograms analysed based on the rracrochemical structure of chelate.The concept that the symmetry of chelate structure is essential for good humidity stability of holograms is suggested. Remarkable is the contrast between NGD and DCG.The latter is another member of dichromated light sensitive systems and used to be considered the best phase holographic recording material However,the holograms of DCG,if not sealed,would decay quickly after several hours at relatively high temperature and humidity
{"title":"Real Time Diffraction Efficiency and the Anti-humidity Mechanism of NGD Holograms","authors":"Chen Jirui, Hong Guo-Beng, Guo Lv-Rong, Dai Chao-meng","doi":"10.1360/YA1994-37-2-221","DOIUrl":"https://doi.org/10.1360/YA1994-37-2-221","url":null,"abstract":"Jn this paper,a new holographic recording material,nongelatin dichromated holographic film (NGU).is reported.The NGD holograms exhibit stronger real time effect,higher diffraction efficiency,better humidity,stability,stronger surface relief modulation,etc.An experimental study of the influence of electron donors on real time diffraction efficiency (RTDE) of NGD holograms has been earned out,and the anti-humidity mechanism of holograms analysed based on the rracrochemical structure of chelate.The concept that the symmetry of chelate structure is essential for good humidity stability of holograms is suggested. Remarkable is the contrast between NGD and DCG.The latter is another member of dichromated light sensitive systems and used to be considered the best phase holographic recording material However,the holograms of DCG,if not sealed,would decay quickly after several hours at relatively high temperature and humidity","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130018027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The complex nonlinear optical process induced by two-photon-resonant excitation of Na 3S-4D has been thoroughly studied and the generated coherent radiation in the vicinity of 2.34μm measured and analysed.Based on the observation of forward and backward output it is believed that the complex process is composed of the optical-pumped stimulated emission (OPSE),stimulated hyper-Raman scattering (SHRS) and four-wave parametric mixing (FWPM).They often coexist simultaneously,each dominating over the others under different conditions,and there are obvious competitions among them.By adjusting experimental conditions,such as the temperature of medium,frequency of input light and interaction length,high conversion efficiency has been achieved.In this work the generated coherent 1R radiation centered at 2.34μm was tunable in 300cm-1,with a peak Dower of 100 kW,and an efficiency of 2%.18 new coherent UV lines were observed for the first time
{"title":"The Nonlinear Optical Processes of OPSE,SHRS,FWPM and Their Competitions","authors":"Feng Zhang, Yu‐yang Zhang, T. Sun","doi":"10.1360/YA1994-37-2-178","DOIUrl":"https://doi.org/10.1360/YA1994-37-2-178","url":null,"abstract":"The complex nonlinear optical process induced by two-photon-resonant excitation of Na 3S-4D has been thoroughly studied and the generated coherent radiation in the vicinity of 2.34μm measured and analysed.Based on the observation of forward and backward output it is believed that the complex process is composed of the optical-pumped stimulated emission (OPSE),stimulated hyper-Raman scattering (SHRS) and four-wave parametric mixing (FWPM).They often coexist simultaneously,each dominating over the others under different conditions,and there are obvious competitions among them.By adjusting experimental conditions,such as the temperature of medium,frequency of input light and interaction length,high conversion efficiency has been achieved.In this work the generated coherent 1R radiation centered at 2.34μm was tunable in 300cm-1,with a peak Dower of 100 kW,and an efficiency of 2%.18 new coherent UV lines were observed for the first time","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122530779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-12-20DOI: 10.1360/ZA1993-23-12-1233
詹小平
本文证明了对任一超越整函数f,微分多项式 f K Q[f]+P[f] 在不含有P[f]零点的可数个圆盘并集之外有无穷个零点。J. M. Anderson等人提出的两个问题是本文结论的两种很特殊的情况。
本文证明了对任一超越整函数f,微分多项式 f K Q[f]+P[f] 在不含有P[f]零点的可数个圆盘并集之外有无穷个零点。J. M. Anderson等人提出的两个问题是本文结论的两种很特殊的情况。
{"title":"微分多项式f~KQ[f]+P[f]的例外集","authors":"詹小平","doi":"10.1360/ZA1993-23-12-1233","DOIUrl":"https://doi.org/10.1360/ZA1993-23-12-1233","url":null,"abstract":"本文证明了对任一超越整函数f,微分多项式 f K Q[f]+P[f] 在不含有P[f]零点的可数个圆盘并集之外有无穷个零点。J. M. Anderson等人提出的两个问题是本文结论的两种很特殊的情况。","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"14 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114118567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This article comments on the theory used to predict equilibrium interface segregation: understanding the segregation law and influential factors and discussing how to acquire parameters for predicting segregation. Then it lists the basic parameters and proposes the method and program of predicting grain boundary segregation and surface segregation.
{"title":"Prediction of Equilibrium InterfaceSegregation in Binary Alloys (I)*——Predicting of Interface Segregation and Intergranular Brittleness","authors":"Zhang Yuan, Sheng Dong-ling, Liang Cheng-Guang, Zhu Fengwu, X. Jimei","doi":"10.1360/YA1993-36-12-1520","DOIUrl":"https://doi.org/10.1360/YA1993-36-12-1520","url":null,"abstract":"This article comments on the theory used to predict equilibrium interface segregation: understanding the segregation law and influential factors and discussing how to acquire parameters for predicting segregation. Then it lists the basic parameters and proposes the method and program of predicting grain boundary segregation and surface segregation.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131568190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-12-20DOI: 10.1360/YA1993-36-12-1409
Wu Quan-shui
In the study of the holonomic modules over D n ( D n ) and ()p, it is claimed and used that gr ( D n )(gr( D n ) and gr (()p) are regular Noetherian rings with pure dimension 2n, where D n is the stalk of the sheaf of differential operators withholomorphic coefficients, and ()p is the stalk of the sheaf () of microlocal differential operators. This property is used to prove j(M)+d(M)=2n for any finitely generated modules over D n ( D n ) and ()p by using the generalized Roos Theorem. In [1], it was proved that gr( D n )(gr( D n )) and gr(()p) do not have pure dimension, so we cannot apply the generalized Roos Theorem directly. In this paper, we reestablish the formula j ( M )+ d ( M )=2 n for any finitely generated modules over D n ( D n ) and()p.
{"title":"On the Formula j(M)+α(M)=2n Over the Rings D n ( D n ) and P*","authors":"Wu Quan-shui","doi":"10.1360/YA1993-36-12-1409","DOIUrl":"https://doi.org/10.1360/YA1993-36-12-1409","url":null,"abstract":"In the study of the holonomic modules over D n ( D n ) and ()p, it is claimed and used that gr ( D n )(gr( D n ) and gr (()p) are regular Noetherian rings with pure dimension 2n, where D n is the stalk of the sheaf of differential operators withholomorphic coefficients, and ()p is the stalk of the sheaf () of microlocal differential operators. This property is used to prove j(M)+d(M)=2n for any finitely generated modules over D n ( D n ) and ()p by using the generalized Roos Theorem. In [1], it was proved that gr( D n )(gr( D n )) and gr(()p) do not have pure dimension, so we cannot apply the generalized Roos Theorem directly. In this paper, we reestablish the formula j ( M )+ d ( M )=2 n for any finitely generated modules over D n ( D n ) and()p.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127685554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-12-20DOI: 10.1360/ZA1993-23-12-1254
秦厚荣
本文给出了一个确定实二次域的整元环上的 K 2 群的2-Sylow子群的方法,进而由此确定了一批实二次域的整元环上的 K 2 群的2-Sylow子群的结构。本文中的方法对于代数整数环上 K 2 群的2-Sylow子群为初等Abel和非初等Abel的情形都是适用的,而在此以前已有的方法和结果大都限制在初等Abel的范围。
本文给出了一个确定实二次域的整元环上的 K 2 群的2-Sylow子群的方法,进而由此确定了一批实二次域的整元环上的 K 2 群的2-Sylow子群的结构。本文中的方法对于代数整数环上 K 2 群的2-Sylow子群为初等Abel和非初等Abel的情形都是适用的,而在此以前已有的方法和结果大都限制在初等Abel的范围。
{"title":"实二次域的整元环上的 K 2 群","authors":"秦厚荣","doi":"10.1360/ZA1993-23-12-1254","DOIUrl":"https://doi.org/10.1360/ZA1993-23-12-1254","url":null,"abstract":"本文给出了一个确定实二次域的整元环上的 K 2 群的2-Sylow子群的方法,进而由此确定了一批实二次域的整元环上的 K 2 群的2-Sylow子群的结构。本文中的方法对于代数整数环上 K 2 群的2-Sylow子群为初等Abel和非初等Abel的情形都是适用的,而在此以前已有的方法和结果大都限制在初等Abel的范围。","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115534048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-12-20DOI: 10.1360/YA1993-36-12-1456
Mei Feng-Xiangc
By using the generalized quasi-symmetry of the infinitesimal transformation of the transformation group G r , the Noether's theory for Birkhoffian systems (including Noether's theorem and its inverse) has been established. An example is given.
{"title":"The Noether's Theory of Birkhoffian Systems*","authors":"Mei Feng-Xiangc","doi":"10.1360/YA1993-36-12-1456","DOIUrl":"https://doi.org/10.1360/YA1993-36-12-1456","url":null,"abstract":"By using the generalized quasi-symmetry of the infinitesimal transformation of the transformation group G r , the Noether's theory for Birkhoffian systems (including Noether's theorem and its inverse) has been established. An example is given.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116919132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"一个源于共形的SL（2,R）WZNW模型的非共形规范对称体系的研究","authors":"杨焕雄, 侯伯宇","doi":"10.1360/ZA1993-23-12-1283","DOIUrl":"https://doi.org/10.1360/ZA1993-23-12-1283","url":null,"abstract":"本文通过提出一个源于共形的SL(2,R)WZNW模型的非共形规范对称体系,研究了它的破坏共形对称性的约束理论. 得到了一组完全可积的非线性方程(称为广义Sinh-Gordon方程组),并完成了体系的路径积分量子化. 值得注意的是,描写上述体系之经典完全可积性的反对称r(λ,μ)矩阵只依赖于两个谱参数,它不能化为r(λ—μ)或r(λ/μ)的形式,也不能作为量子手征Potts模型的R(λ,μ)矩阵在q→1时的退化情况.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125135255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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