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2.
谐振子薛定谔方程的简单解法 总被引:2,自引:0,他引:2
物质的许多物理与化学性质都可以用线性谐振子模型解释,本文用简单的数学运算求解线性谐振子的薛定谔方程,避免了特殊函数等复杂的数学运算,得出了量子力学教材完全相同的结果。 相似文献
3.
Zhang Shenggui Sun Hao Li Xueliang .Dept.of Appl. Math. Northwestern Polytechnical Univ. Xi''''an China. .Center of Combinatorics Nankai Univ. Tianjin China. 《高校应用数学学报(英文版)》2002,(3)
§ 1 IntroductionAll graphsconsidered in this paperare finite undirected ones withoutloops ormultipleedges.Our terminology and notation are standard exceptas indicated.A good reference forany undefined terms is[1 ] .Let G be a graph with vertex set V( G) and edge set E( G) .The density of G is definedbyd( G) =ε( G)ν( G) ,whereν( G) andε( G) denote| V( G) | and| E( G) | ,respectively.G is said to be balanced iffor each subgraph H of G we have d( H )≤ d( G) ,where V( H ) is assum… 相似文献
4.
Dr.-Ing. M. Millies Dipl.-Ing. St. v. Bose Dipl.-Ing. A. Tokarz Univ.-Prof.Dr.-Ing. D. Mewes 《Heat and Mass Transfer》1994,30(1):17-25
The common methods for calculating the mass transfer across liquid-liquid interfaces in technical applications take into account the mass transfer resistances within the bulk phases. The transfer resistance of the interface and a possible coupling between the momentum and the mass transport is not taken into account. In the present paper a survey is given of theoretical approaches which can describe this coupling and the additional mass transfer resistance. A theory is proposed by Hampe which can be used to explain the coupling between momentum and mass transport employing thermodynamics of irreversible processes. On the basis of this work, the influence of the dilatation of a flat interface on the mass transfer is deduced. It is also concluded from this theory that the diffusion coefficients within the bulk phases are coupled near the thermodynamic equilibrium. 相似文献
5.
PENG Zi-cheng LI Ping ZHOU Tai-xi LI Xue-ming Wept. of Earth Space Science Univ. of Science Tech. of China Hefei )HU Zhi-sheng 《高等学校化学研究》1992,(3)
When was the earliest glass produced in China? This has still been a question so far. Some archaeologists have thought that Yu Guo beads are real glass, the earliest glass(1100-771 B. C. ) in China. However, more details of scientific investigations in this paper show that Yu Guo beads are mainly made of clastic quartz (>95%) with a small amount of clay and sintered under the low temperature(500-600℃). It is not a glassy body, but a kind of polycrystal ornaments. 相似文献
6.
§ 1 IntroductionA triple system of order v and indexλ,denoted by TS(v,λ) ,is a collection of3- ele-mentsubsets Aof a v- set X,so thatevery 2 - subsetof X appears in preciselyλ subsets of A.L etλ≥ 2 and (X,A) be a TS(v,λ) .If Acan be partitioned into t(≥ 2 ) parts A1,A2 ,...,Atsuch that each (X,Ai) is a TS(v,λi) for 1≤ i≤ t,then (X,A) is called de-composable.Otherwise it is indecomposable.If t=λ,λi=1for 1≤ i≤ t,the TS(v,λ) (X,A) is called completely decomposable.It … 相似文献
7.
He JiweiDept.of Math. Zhejiang Univ. Hangzhou China. Dept.of Math. Shaoxing College of Arts Science Shaoxing China. 《高校应用数学学报(英文版)》2004,(1)
§ 0 IntroductionA∞ - algebras were first introduced and applied by Stasheff in [12 ,13].Recently,theyappeared in both mathematics and mathematical physics[1 ,5— 8,1 0 ] .An A∞ - algebra is a Z-graded vector space over a fixed field k with a sequence of graded maps mn∶ A n→ A ofdegree n- 2 (n≥ 1) satisfying certain axioms (see [5 ,6 ,12 ,13]) .In this paper,we focusour attentions on,as we call,the minimal A∞ - algebras,which are usual A∞ - algebrasdefined in [5 ,6 ,12 ,13]with m1 =… 相似文献
8.
Zhang Zhongzhi Liu ChangrongSchool of Math. Science Central South Univ. Changsha China Dept. of Math. Hunan City Univ. Yiyang China. Faculty of Mathematics Econometrics Hunan Univ. Changsha China. 《高校应用数学学报(英文版)》2004,(3)
§1 IntroductionWe considerthe following inverse eigenvalue problem offinding an n-by-n matrix A∈S such thatAxi =λixi,i =1,2 ,...,m,where S is a given set of n-by-n matrices,x1 ,...,xm(m≤n) are given n-vectors andλ1 ,...,λmare given constants.Let X=(x1 ,...,xm) ,Λ=(λ1 ,λ2 ,...,λm) ,then the above inverse eigenvalue problemcan be written as followsProblem Given X∈Cn×m,Λ=(λ1 ,...,λm) ,find A∈S such thatAX =XΛ,where S is a given matrix set.We also discuss the so-called opti… 相似文献
9.
Univ.-Prof. Dr-Ing. J. Betten Univ.-Prof. Dr.-Ing. E. El-Magd Dr.-Ing. S. C. Meydanli Dipl.-Ing. P. Palmen 《Archive of Applied Mechanics (Ingenieur Archiv)》1995,65(2):121-132
Übersicht Ziel der Untersuchung ist es, den Einfluß von Kriechschädigung und Belastungsvorgeschichte auf das weitere Kriechverhalten nach einer Änderung der Belastungsrichtung zu bestimmen. Die ermittelten Kriechbruchzeiten werden stark von der Änderung der Belastungsrichtung beeinflußt. Dieses Verhalten wird mit einer tensoriell nichtlinearen Theorie erklärt, indem man den Einfluß der Vorschädigung mit einem zweistufigen Tensor darstellt.
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10.
§1 IntroductionAt present,boundary value problems (BVPs) are widely investigated with variousmethods and techniques. BVPs with integral boundary conditions constitute a veryinteresting class of problems such as multipoint,three-point,four-point and nonlocalboundary value problems which are considered by many authors.And the existence ofpositive solutions for these problems becomes the subjectof many papers[1—6] .In a recentpaper[7] ,the authors have studied the existence of positive solut… 相似文献