量子波方程 的英文怎麼說
中文拼音 [liángzibōfāngchéng]
量子波方程
英文
quantum-wave equation- 量 : 量動1. (度量) measure 2. (估量) estimate; size up
- 子 : 子Ⅰ名詞1 (兒子) son 2 (人的通稱) person 3 (古代特指有學問的男人) ancient title of respect f...
- 波 : Ⅰ名詞1 (波浪) wave 2 [物理學] (振動傳播的過程) wave 3 (意外變化) an unexpected turn of even...
- 方 : Ⅰ名詞1 (方形; 方體) square 2 [數學] (乘方) involution; power 3 (方向) direction 4 (方面) ...
- 程 : 名詞1 (規章; 法式) rule; regulation 2 (進度; 程序) order; procedure 3 (路途; 一段路) journe...
- 量子 : quantum; gion
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The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given
利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式;以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系,寫出了引入二階矢量位的過程;以時諧場矢量邊值問題為例,闡明了不同坐標系下電磁場解的相互轉化原理,給出了一個解析解的轉化例子;在球坐標下,引入了較球矢量波函數更普遍的兩類矢量函數,給出了其在球面上的正交關系。Abstract : the magnetic moment of a hydrogen atom is calculated by using the solution of the relativistic wave equations. it is shown that the so called total magnetic moment are produced from the electron orbit motion. these results show that the total angular momentum j is actually the relativistic orbital angular momentum
文摘:利用氫原子的相對論性波動方程解計算了氫原子的磁矩.結果表明,現行量子理論中所謂的總磁矩實際上都是由電子的軌道運動產生的,由此提出了所謂的總角動量實際上是相對論性軌道角動量的看法The key components in laser gyro is he - ne ring laser, and the reciprocal action theory between light and medium is the base in studying the ring laser, use the lamb half classical theory, and on the base of density matrix theory, the optical brounch equation was established, which described the movement of amplifying medium atom in the ring syntonic cavity, and according to the medium polarize theory the self consistent equations was deduced, which describe the light intensity and phasic of the counter - propagating wave. on the basis of this equations, adopted the simulation software matlab and virtual instrument programming language labwindows / cvi, we can do some simulated experiments in study the phenomenas such as amplify and dispersive characteristic of medium, mode pushing effection, burned hole effection and pattern competition, lock - in of frequency and the characteristic of light intensity and phasic of the counter - propagating wave in laser gyro
激光陀螺的核心部件為he - ne環形激光器,而掌握光與介質的相互作用理論是研究激光器的關鍵,採用拉姆半經典理論為主,在密度矩陣理論的基礎上,推導環形諧振腔中描述he - ne氣體增益介質原子運動的光學布洛赫方程,運用介質極化理論得出描述激光陀螺反向行波的光強、位相所滿足的自洽場方程組,在此基礎上,運用matlab模擬軟體和虛擬儀器編程語言labwindows / cvi ,對激光陀螺中的介質增益色散特性、頻率牽引效應、燒孔效應及模競爭、閉鎖效應及環激光的光強和相位特性進行模擬試驗研究,並且運用全量子理論,對激光工作原理進行分析,得出二能級系統單模輻射場的光子數密度分佈,得出激光場的光子統計分佈,模擬激光場的動態建立過程。In the first part of the text, this paper shows that schrodinger insisted on classical realism ' s frame in 1926 through the analysis of the relation of schrodinger ' s wave mechanics and classical realism, and that he thought that the real reality is the function that depends on the wave equation, and that the particles " concept is only a uncontinuous component of - function ' s quantum
文章共分三個部分:第一部分分析了薛定諤的波動力學與經典實在論的關系,闡明了薛定諤在1926年所堅持的經典實在觀的理論框架,他認為:由波動方程來支配的那個場就是終極的實在;粒子概念不過是由場的『量子化』所引入的那種不連續要素的一個名稱而已。This thesis was divided into eight chapters, and the main results and innovations obtained here can be summarized as follows : ( 1 ) the physics model of tsrs in frequency conversion crystals has been built up firstly. based on quantum - mechanical viewpoints and the following physical processes and parameters : the two - photo interaction of light with matter, paraxial diffraction of stokes, langevin noise sources, reflection at the faces and the edges of crystals, gain coefficient, beam aperture, pulse width and fluence of 3, the physics model of tsrs in kdp and kdp crystals acting as high - fluence frequency convector and the paraxial operator maxwell - bloch - langevin equations have been built up
全文共分八章,取得的主要成果及創新點如下: ( 1 )首次建立了諧波轉換晶體的tsrs物理模型本文根據量子力學原理,在考慮如下物理過程和參量的基礎上:光與物質的雙光子相互作用; stokes光的傍軸衍射; langevin (郎茲萬)噪聲源;晶體表面反射和端面反射;增益系數、光束口徑、脈寬和三倍頻光能量密度,推導出高通量激光在kdp和kd ~ * p諧波轉換晶體中的tsrs物理模型和空間上的近軸算符maxwell - bloch - langevin方程組。A general solution to the schrsdinger equation about the motion of the entangled atom of two cases is obtained. subsequently, the wave functions in momentum and coordinate spaces are given according to the atoms " ini initial nd next, the dynamic properties of the two - atom entangled system are manifested
我們首先寫出兩種情況下系統的哈密頓量並解出薛定諤方程,可得到兩原子糾纏系統波函數的一般解,然後根據原子的初始條件得到了波函數在動量表象和坐標表象的特解。Are used in above deduction. therefore it is necessary for us to review the basic concepts of quantum mechanics and relativity from the deflection notion of analytical space - time so as to get a profound math expression - space - time wave function stwf to link relativity up to quantum mechanics. assuming that one plane cosine wave travels along
因此,我們有必要從解析時空理論的時空偏轉原理出發,對量子理論和相對論的基礎概念重新認識,進而得到更廣泛更深刻並將量子理論和相對論連系在一個方程下的新的數學表達式-時空波函數。As a high - power twt, we consider the relativistic effect of the solid beam. the numerical results are given in terms of the small signal gain curve and slow - wave ration curve
作為大功率的行波管,我們考慮了電子注的相對論效應,數值求解「熱」色散方程,得到脊加載盤荷波導幾何參數和電子注參量與小信號增益的關系。Based on the extended boundary condition method and addition theorem of vector spherical functions, this paper study the light scattering problems of aggregate spheres from the angles of a single sphere, two - sphere system and multi - spheres system
本文基於擴展邊界條件法及矢量球諧函數的加法定理,通過嚴格求解maxwell方程所得到的散射傳輸矩陣,對與入射波波長可比擬的群聚球形粒子的散射問題進行了研究。By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one - dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. therefore the relationships between energy levels and wave functions of one - dimensional harmonic oscillator and hydrogen atom are found. through the coordinates transform, the relationships between energy levels and wave functions of two - dimensional harmonic oscillator and hydrogen atom are found
首先綜述了諧振子與氫原子的基本理論的研究現狀,並在此基礎上對諧振子與氫原子的關系展開了研究,通過厄密特方程與拉蓋爾方程的相互轉化,將一維諧振子與一維氫原子的本徵值方程轉化為相同形式的方程,從而比較得出它們能量及波函數間的關系,並通過坐標變換將直角坐標系下二維氫原子的本徵值方程轉化成與曲線坐標系下二維諧振子的本徵值方程相同的形式,從而得出二維氫原子與二維諧振子的能量及波函數的關系。It is found that the fwm field can cause the asymmetry of electromagnetically induce transparency profile. in addition, the effect of different propagating orientations of probe field on the electromagnetically induced transparency is also discussed. in the molecular multi - level system with the perturbed superposition levels, we discuss the electromagnetically induced transparency, spontaneous emission enhancement, double dark resonance and double electromagnetically induced transparency by using the density matrix equation under weisskopf - winger approximation and dressed - state density matrix equation
針對實際的實驗條件,考慮了一種影響量子干涉的新的因素-四波混頻場,研究了四波混頻場對雙光子探測的-型能級體系的eit的影響,發現四波混頻場能夠導致雙光子探測的eit線型的不對稱,在此基礎上,討論了不同探測場的傳播方式對eit的影響,針對分子中實際存在的包含有微擾能級的不同多能級系統,我們分別採用綴飾態繪景下的密度矩陣方程和weisskopf - wigner近似下的密度矩陣方程詳細地討論了電磁感應透明、自發輻射的干涉相消和相長、雙暗態共振和雙電磁感應透明現象。After all, it took many years for the quantum idea, as put forth by max planck, einstein and niels bohr, to be encapsulated into the schr ? dinger equation, and more time still to be made compatible with special relativity
畢竟,普朗克、愛因斯坦、波耳提出的量子論也要隔好多年才有辦法納入薛丁格方程式,又隔了好一陣子才能與狹義相對論相容。Numerical simulations were done to show the distortion of the wavefront and the interference pattern under several kinds of typical plasma density distributions. the ray path in plasma was calculated by the numerical solution of the vector equation of light ray, when the plasma density was closing to the critical electron density of the laser frequency. through the simulations, the factors that influence the measurement were found out under different density distributions and shapes of plasma
在此基礎上,採用數值模擬的方法,計算了在幾種典型的等離子體密度分佈下,激光波面的變化和產生的干涉圖樣;並用光線矢量微分方程的數值解法計算了當等離子體密度接近光頻臨界電子密度時,光線在等離子體中的傳播路徑,從中掌握了在不同的等離子體密度和形狀下,進行干涉測量所應估計到的因素。In 6. 635, topics covered include : special relativity, electrodynamics of moving media, waves in dispersive media, microstrip integrated circuits, quantum optics, remote sensing, radiative transfer theory, scattering by rough surfaces, effective permittivities, random media, green ' s functions for planarly layered media, integral equations in electromagnetics, method of moments, time domain method of moments, em waves in periodic structures : photonic crystals and negative refraction
本課程所覆蓋的論題包括:狹義相對論、運動媒質的電動力學、色散媒質中的波、微帶集成電路、量子光學、遙感、輻射傳輸理論、粗糙表面上的散射、有效介電系數、隨機媒質、平面層狀媒質的格林函數、電磁學中的積分方程、矩量法、時域矩量法、周期結構中的電磁波:光子晶體和負折射率。In this paper, based on summarizing previous numerical studies on wave transformations, several works are documented : based on the mass conservation equation and euler ' s equation, the extended form of boussinesq equations is derived by using the velocity at an arbitrary water depth as the independent variable, and several terms are added into governing equations to model the effects of bottom friction, wave breaking and subgrid turbulent mixing
本文在總結概述前人關于boussinesq方程波浪數學模型研究進展的基礎上,主要做了以下幾點工作:從質量守恆方程和euler方程出發,以某一水層處水平速度矢量作為獨立變量,推導出包含底摩擦耗能、波浪破碎效應和子網格湍流效應的改進型boussinesq方程。This article from waving equation introduces briefly the theory about normal mode and its premises, and discusses the inner relationship between this theory and loop quantum gravity
摘要從波動方程出發,簡要介紹了準簡振模理論及其存在的條件,討論了這個理論與圈量子引力理論的內在聯系。According to the raman selection rule and the pl measurement, it is reasonable to evaluate the quality of galnp / algalnp mqw by analyzing the relative intensity ratio of a1p - lo / to. ( 4 ) a new modified random element isodisplacement ( mrei ) model is set up to calculate the dependence between the long - wavelength optical phonon frequencies and the composition of iii - v - type ab1 - xcx mixed crystals. the second neighbor force constants are still assumed to be a linear variation with the composition, but the two first neighbor force constants can be evaluated to be a negative exponent variation with the composition, using the overlapped repulsive potential of the ion crystal combination
通過實驗我們找到了在這些結構參數上生產gainp algainpmqw的較理想的結果; ( 3 )首次用喇曼( raman )散射方法研究了常溫下的gainp algainp多量子阱結構,除了指認出喇曼光譜中各光學聲子模外,還結合樣品光致發光譜的測量結果,分析發現喇曼光譜中alp - lo to的相對強度比可以在一定程度上評定晶體gainp algainpmqw的生長質量; ( 4 )在修正的隨機元素等位移? mrei模型的基礎上建立了一個新模型,計算了ab _ ( 1 - x ) c _ x型?族半導體混晶的長波長光學聲子模頻率的組分變化關系。( 2 ) based on the wave equation in the acoustic fluid space and the theory of thin - wall structure, the non - symmetrical coupled structure - acoustic dynamic equation without damping is studied. the non - symmetric system of the finite element model for coupled structure - acoustic response is solved by the conjugate subspace iteration method
由聲空間波動方程和薄板理論出發,對聲場?結構耦合系統的模態分析提出了有限元數值方法,採用共扼子空間迭代法對非對稱特徵方程進行處理,採用靜凝聚法消除質量矩陣的奇異性。Provides feature articles, news stories, analyses, book and product reviews, a searchable job database, and obituaries
-介紹量子力學薛丁格方程式波函數及測不準原理牡蠣謬論等,並有相關討論區。The researches on re - positioning of ocean - bottom geophones after acquisition is a necessary part of the obc seismic exploration. this ocean - bottom geophone re - positioning system for ms windows in microcomputer environment is developed with vc + + 6. 0 and visual fortran 6. 0 co - programming technique, and it is based on the re - positioning software run in the unix workstation environment and financed by the national " 863 " sub - project " the research of three - component ocean - bottom geophone coordinate recognition and positioning methods ". the visibility of overall processes is realized
本論文以國家「 863 」子項目「海底三分量檢波器坐標識別、定位方法研究」編制的基於unix工作站環境的海底檢波器二次定位軟體系統為基礎,使用visualc ~ ( + + ) 6 . 0與visualfortran6 . 0混合編程技術,研製了基於mswindows平臺微機環境下的海底檢波器二次定位系統,整個過程實現了計算機可視化。分享友人