諧波函數 的英文怎麼說
中文拼音 [xiébōhánshǔ]
諧波函數
英文
harmonic function- 諧 : Ⅰ形容詞1 (和諧) in harmony; in accord; in tune 2 (詼諧) humorous Ⅱ動詞(商量好; 辦妥) come t...
- 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...
- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
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The angular part of a continuum wave function is, of course, a spherical harmonic.
連續譜波函數的角度部分當然是球諧函數。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。After introducing the conventional edge detection operator and multiscale wavelet edge detection operator, we discussed the well quality of b - spline function > n - class derivative of gauss function n harmonic function and hermite function in wavelet theory and their concrete application in the image edge detection
在對單尺度下的傳統邊緣檢測運算元和多尺度小波邊緣檢測運算元介紹的基礎上,討論了b樣條、 gauss函數的n階導數、諧波函數以及hermite函數在小波理論中所具有的良好性質,以及它們在圖像邊緣檢測中的具體應用。In this thesis, summarized the basic theories of fourier transformation and the fast fourier transformation that are generally adopted to detect and analyze the electric power harmonic in the electric power supply system. at the same time, summarized the even sample principle, the phenomenon of frequency mix, the window functions and the frequency leaking as so on, those are closely - related to sample from figure signal
簡要闡述了電力系統諧波檢測分析所普遍採用的傅利葉變換和快速傅利葉變換的基本理論以及與數字信號采樣密切相關的均勻抽樣定理、頻譜混疊現象、窗函數和頻譜泄漏等的基本理論。Summarized no - line loads and the present situations of the electric power harmonic pollution in the guangyuan district ' s electric power supply system ; explained the theories of fourier transformation and the fast fourier transformation those are widely adopted by majority scholars to examine and analyze the electric power harmonic in the electric power supply system. summarized the principle of even sample, the frequency mix phenomenon, the window functions and the frequency leaking as so on, those are closely - related to the figure signal
簡要闡述了電力系統諧波檢測分析所普遍採用的傅利葉變換和快速傅利葉變換的基本理論,簡要闡明了與數字信號采樣密切相關的均勻抽樣定理、頻譜混疊現象、窗函數和頻譜泄漏等的基本理論,同時闡述了電力系統的諧波檢測與分析的相關理論基礎知識。A new harmonic analysis method for electric power systems based on triangle basis functions neural network was presented, the convergence theorem of the algorithm was proposed, and a window function and interpolation algorithm were employed to correct the frequency of fundamental waves
摘要提出了一種新的基於三角基函數神經網路的電力系統諧波測量方法,給出了該神經網路演算法的收斂定理,並採用加窗插值演算法修正基波頻率的準確度。In this paper, according to the wave - packet function of singularity particle in potential field of harmomic oscillator, the wavefunction and associated probability density of coupling harmomic oscillator is calculated and discussed according to the distinguishable particles and indistinguishable particles
摘要根據諧振子勢場中單個粒子的波包函數,推導出了耦合諧振子的波函數和聯合幾率密度,特別是不可區分粒子的干涉項,並按照可區分粒子與不可區分粒子進行了討論。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。This paper has studied the wavefunction expanded in terms of the two - dimensional harmonic oscillator eigenfunction through calculating the energy of the ground state, the energy of the first excited state and the oscillator strength in a square wire with finite barriers and studied its application in these fields. the most remarkable advantage of this wavefunction is that it can satisfy the continuity of the function and of its derivative divided by the band - mass and it is convenient to calculate some physical magnitudes because the number of the terms is small
本文通過計算有限深方形量子線中單電子的基態能、第一激發態能和振子強度研究了以二維諧振子本徵函數為基展開的波函數以及它在這些問題中的應用,此波函數的顯著優點是:在邊界處滿足波函數的連續性條件和粒子流的守恆條件,並且展開項數少,計算方便。In this paper, we study the vdw ( c6h5ch3. . n2 ar ) vibrations in complexes by using a combined experiment and theoretical studies of resonant ionization spectra. for complexes, vdw vibration levels are calculated by the quantum method of linear - combination of three - dimensional harmonic oscillator products and lennard - jones potential, which is very close to the experimental spectrum
本文採用理論和實驗的方法對vdw復合物c _ 6h _ 5ch _ 3 … n _ 2 、 ar進行了研究,並用三維線性諧振子波函數和納能-瓊斯勢函數的量子計算方法得出vdw復合物的振動能級,計算值和實驗光譜相符合。First, we concisely recall the formation and development of bose - einstein condensa - tion ' s theory and it ' s experimentation. secondly, we briefly intro - duce some properties of weakly interactive bose gases, and derive the nonlinear gross - pitaevskii equation that is the condensate macroscopic wave function ' s equation. thirdly, we give a exam - pie, an approximation analytical solution of the gross - pitaevskii equation in a spherical symmetric harmonic trap is derived by a perturbation theory approach, this solution is consistent with that numerically obtained
全文共分為四章:第一章首先簡要的介紹和回顧了玻色-愛因斯坦凝聚理論的產生和發展,以及其實驗研究的過程,然後著重介紹了弱相互作用的玻色氣體的一些性質,並推導出了凝聚體宏觀波函數滿足非線性的gp方程,還以球對稱的諧振子勢為例,用標準的微擾方法求出了定態的gp方程近似解,發現其與已知的數值結果符合得很好。The polynomial factors in the harmonic-oscillator wave functions are called hermite polynomials after a french mathematician.
諧振子波函數的多項式因子隨一法國數學家之名而叫做厄米多項式。In this paper, the wavefunction is expanded in terms of the two - dimensional harmonic oscillator eigenfunction and the mismatch of the effective mass is considered. we calculate the energy of the ground state, the energy of the first excited state and the oscillator strength of the single electron in a square quantum wire with finite barriers
本文選取了以二維諧振子本徵函數為基展開的波函數,並且考慮了有效質量的失配性,計算了有限深方形量子線中單電子的基態能,激發態能和振子強度。In this paper, the exact expressions of the evolution operator and wave function for a driven time - dependent quantum oscillator are obtained by means of the combination of the inhomogeneous bogoliubov transformation ( ibt ) and the evolution equation associated with a su ( 1, 1 ) h ( 4 ). our results agree well with those derived in [ 3 ], but the present method is more simple and definite
非齊次波戈留波夫變換與su ( 1 , 1 ) ? h ( 4 )量子系統的演化方程相結合,給出了求該系統時間演化算符和波函數的精確表達式。作為一個典型例子,我們得到含時受迫諧振子的演化算符和波函數的精確表達式。Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result, it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal
經典的fourier變換把信號按三角正、餘弦基展開,將任意函數表示為具有不同頻率的諧波函數的線性迭加,能較好地刻劃信號的頻率特性,但它在時空域上無任何分辨,不能作局部分析,這在理論和應用上都帶來了許多不便。A damped harmonic oscillator without a driving force was studied using canonical tramsformation ; an exact wavefunction and energy level for the damped harmonic oscillator has been obtained
摘要對于無外界驅動力且阻力與速度成正比的阻尼諧振子,通過正則變換,得出了阻尼諧振子的嚴格波函數及其相應能級。There were troubles in the continuity of the function and of its - derivative divided by band - mass on the boundary. in the theoretical calculation, the wave function is relative to the physical properties of the impurity greatly, the envelop function f ( x, y ) is expanded in terms of the one - dimensional linear harmonic oscillator function in this paper. it satisfies the continuity of the function and of its - derivative divided by the band - mass, so it improves the precision of the function and binding energy
與以往工作不同的是,以前選用的x , y方向電子的包絡函數f ( x , y )是一維有限深量子阱中波函數的乘積,在邊界上波函數的連續性和粒子流的守恆條件存在問題;而在理論計算中,波函數的選取與雜質的物理性質有密切關系,本文選取的電子的包絡函數是用一維線性諧振子的波函數展開而成的,在邊界上能夠同時滿足波函數的連續性及粒子流( 1 / m ~ * ) f ' ( x , y )的守恆條件,從而使得波函數和束縛能的精確度得到了改進。Compared with the existing wavelet functions, the new wavelet functions are proved to be better harmonic detection capability
通過和已有小波函數的模擬比較,驗證了新的小波函數具有較好的諧波檢測能力。The new wavelet functions have superiority in time varying harmonic compared with the fourier transform that the break point can be exactly detected
通過和快速傅立葉變換的比較,可以看出所構造的新小波函數在時變諧波檢測中的優勢,可準確地檢測出奇異點。Energy and wave function of the two dimensional harmonic oscilltor and hydrogen atom
二維諧振子與二維氫原子的能量及波函數關系分享友人