球波函數 的英文怎麼說

中文拼音 [qiúbōhánshǔ]
球波函數 英文
spheric wave function
  • 球 : 名詞1 （以半圓的直徑為軸 使半圓旋轉一周而成的立體; 由中心到表面各點距離都相等的立體） sphere; glo...
  • 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
  1. 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。
  2. 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。
  3. Abstract : from a universal formula for calculating the attenuation cross section of particles in arbitrary shapes, exact expressions for calcualting the attenuation cross section of polydisperse, small spheroids, whose rotary axes are in specific status, have been derived. attenuation cross sections of both liquid and ice particles in different shapes at different wavelengths in microwave band have been computed and analyzed. the results are informative to microwave remote sensing of precipitation

    文摘:從計算任意形狀粒子的衰減截面普遍公式出發，推導出了小旋轉橢球粒子群旋轉軸處于不同狀態時的衰減截面函數表達式，並計算分析各種狀態下衰減截面隨降水粒子相態、形狀和入射波波長的變化特徵，所得結果可用於降水微波遙感。
  4. 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。
  5. Based on the spectral irradiance measured with the sun - atmosphere ultraviolet spectrum radiometer ( sauvs ) developed by the institute of atmosphere physics and the changchun institute of optics and fine mechanics, chinese academy of sciences, measuring the direct and scatter irradiance spectrum of ultraviolet waveband which arrives in beijing global surface, giving a method of retrieving the aerosol optical depth ( aod ) and put up with primary results that exponential function can fit the retrieval results according to its visibility, putting forth different coefficients and functions on variable visibility, also giving a primary analysis on the aod in dust - storm day and some contrast between sun - day and dust - storm day, analyzing the ratio between scatter and total irradiance, and its relationship with atmosphere mass and total atmosphere optical depth, lastly contrasting with the survey results by aeronet beijing station, the results of retrieval is in reason, this work gives some help in researching the co - effect of aerosol - radiance - climate and makes preparation for further survey on the radiance characteristics of dust

    利用中國科學院大氣物理研究所與長春光學精密機械研究所合作研製的太陽?大氣紫外光譜輻射計（ sauvs ） ，測量到達北京地表的太陽直接和散射紫外光譜輻射，導出了大氣氣溶膠的光學厚度。初步結果表明：北京紫外波段大氣氣溶膠的光學厚度在絕大部分情況下隨波長的增加而單調減小，用指數函數可以較好地擬合反演結果，統計得到了三個水平能見度狀況下擬合函數的系數值和公式表達式；初步分析了揚沙、浮塵、沙塵暴天氣條件下氣溶膠光學厚度的特點，並與一般晴朗天氣條件下的氣溶膠光學厚度特點做了比較分析；分析了太陽紫外譜輻射中散射輻射與大氣質量、大氣總光學厚度的定性關系和定量表達式；最後與全球氣溶膠監測網路（ aeronet ）北京站的資料做比對，表明反演結果基本合理。
  6. Spheroidal wave function

    球波函數
  7. 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。
  8. For example, a single electron in an unexcited atom is pictured classically as a particle moving in a circular trajectory around the atomic nucleus, whereas in quantum mechanics it is described by a static, spherically symmetric wavefunction surrounding the nucleus

    例如，單個電子在不活躍原子里被經典描述為粒子圍繞原子核圓形運動，但是在量子力學里它通過用靜止、圍繞核子的球對稱波函數來描述。
  9. 2. we present a solution to the scattering of gaussian beams by a concentric multilayered non - confocal spheroidal particle by taking a concentric two - layered one as an example. because the boundaries of these two layers are connected with two different spheroidal coordinate systems, firstly, the electromagnetic fields between the inner and outer boundaries are expanded in terms of the spheroidal vector wave functions with reference to these two systems, and the electromagnetic fields within the inner boundary with reference to the system for it

    2 .以雙層橢球為例，我們提出了一種研究同心非共焦多層橢球粒子散射的方法，首先把兩層橢球之間的電磁場用對應于兩個橢球坐標系的橢球矢量波函數展開，這兩個橢球坐標系分別與兩層橢球的邊界面相聯系，在每層橢球邊界面上分別應用邊界條件，建立關于各展開系數的方程組。
  10. Based the basic principle of the accumulation of induced electric charges across the resistivity discontinuities and the induction current channeling inside the conductive bodies inspirited by the mt field, we set up the relation between the measured field on the earth surface and the distribution of the induced source underground by means of the defining the electric charge occurrence probability function and the electric dipole occurrence probability function and the spacial distributing of the " correlation probability ". the " image " of the field sources underground, or the distributing graphy of the induced electric charges and the induced current in the mesuring area can be drawed, from which we can get the outline of the geological anomaly on the meaning of the probability

    大地電磁場概率成像方法是一種新的地球物理成像反演方法，它是根據在大電磁波場的激勵下，地下介質電阻率間斷處產生感應電荷積累和導體內部產生感應電流，從而產生感應電磁場的原理，相應地定義了感應電荷發生概率函數和感應電偶極子發生概率函數，通過「相關概率」發生的大小的空間分佈，建立了地表觀測場與地下場源空間分佈的內在聯系。地下場源分佈概率的「像」 ，即測區的感應電荷和感應電流的概率的分布圖像，就是測區內地質體在概率意義下地質異常體的分佈輪廓。
  11. So a computer - aided alignment method for a series of reference lens is studied in detail in this paper. based on analyzing the optical quality affecting factors and optical design, the folio wings are described in detail in this paper : ( 1 ) how to choose merit function of optical quality in terms of the specific reference lens, and sensitive structure parameters to optical quality would be determined according to their tolerance data ; ( 2 ) discussing the relationship between the aberrations and the misalignment of reference lens ; ( 3 ) building the mathematical model for the misalignment optical system, and then calculating the misalignment value by the alignment software compiled on zemax and matlab platforms ; ( 4 ) experiments are made to examine the computer - aided alignment method. the theoretical and experimental data and plots are given in the paper

    本文在分析標準球面透鏡的設計及其光學質量的影響因素基礎上，開展了以下四個方面的研究： （ 1 ）根據系列標準球面透鏡的具體結構特點，選擇透鏡的質量評價指標，研究標準球面透鏡的公差分佈，確定敏感結構參數； （ 2 ）研究光學質量評價指標與失調量之間的函數關系； （ 3 ）建立數學物理模型，根據球面波的實測結果，求解待調系統的失調方位和量值，研究原理上實現計算機輔助裝調的可能性，在zemax和matlab平臺上編寫輔助裝調軟體； （ 4 ）建立實驗裝置，實際研究標準球面透鏡的計算機輔助裝調方法，文中給出相應的理論分析及實驗數據和曲線。
  12. Secondly, the electromagnetic fields between the inner and outer boundaries are expressed in terms of infinite series with spherical vector wave functions using the relations between the spheroidal vector wave functions and spherical ones

    然後根據橢球矢量波函數與球矢量波函數的關系，把兩層橢球之間的電磁場表示為球矢量波函數的級數形式，由球矢量波函數的正交性，進一步建立各展開系數之間的關系。
  13. This thesis in theory deals with electromagnetic wave scattering by multilayered confocal and non - confocal spheroidal particles illuminated by gaussian beams, in which the main contributions are as follows : 1. in the case of multilayered confocal spheroidal particles, the scattered fields as well as the fields within each layer are obtained in terms of infinite series with spheroidal vector wave functions by using an appropriate expansion of the incident gaussian beam. by virtue of the boundary conditions, we write the set of equations for determining the unknown expansion coefficients and then solve it

    本文從理論上研究了多層共焦和非共焦橢球粒子對高斯波束的散射，主要成果如下： 1 .我們研究了多層共焦橢球粒子對高斯波束的散射，把入射高斯光，散射場，各層橢球內的電場和磁場用適當的橢球矢量波函數展開，應用電磁場邊界條件，寫出確定各展開系數的方程組，求出散射場系數，進而求出散射場及散射截面。
  14. The use of wave packet to analyze the dynamics of quantum mechanical systems is an increasingly important method to the study of the classical - quantum correspondence. using the quantum gaussian wave packet analysis method, we calculate the autocorrelation function of the rectangular billiard, the peak positions of the autocorrelation function match well with the periods of the classical periodic orbits, which show that the period of the classical orbits can be produced by the time - dependent quantum wave packet method. we also discuss wave packet revivals and fractional revivals in the rectangular billiard, the results show that there are exact revival for all wave packet at each revival time. we find additional cases of exact revivals with short revival times for zero - momentum wave packets initially located at special symmetry point inside the billiard

    利用波包分析量子力學體系的動力學行為在研究經典和量子的對應關系方面越來越成為一個非常重要的方法.利用高斯波包分析方法，我們計算了矩形彈子球體系的自關聯函數，自關聯函數的峰和經典周期軌道的周期符合的很好，這表明經典周期軌道的周期可以通過含時的量子波包方法產生.我們還討論了矩形彈子球的波包回歸和波包的部分回歸，計算結果表明在每一個回歸時間，波包出現精確的回歸.對于動量為零的波包，初始位置在彈子球內部的特殊對稱點處，出現一些時間比較短的附加的回歸
  15. In this thesis, based on related previous references, using the non - fourier law of heat conduction, applying the image method, expand method of wave function, multiple scattering of thermal waves in materials with subsurface defects are investigated. our research works are concretely as following

    本文在分析了國內外相關文獻的基礎上，基於非傅里葉熱傳導波動方程，採用鏡像方法和波函數展開法，研究了固體介質中亞表面圓柱缺陷和球形缺陷對熱波的多重散射問題。
  16. Ellipsoidal wave function

    橢球面波函數
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