schrodinger equation 中文意思是什麼

schrodinger equation 解釋
薛定諤方程
  • equation : n. 1. 平衡,均衡;平均,相等。2. 【數學】方程式,等式。3. 【天文學】(時)差;均分,等分。4. 【化學】反應式。
  1. In chapter 2, a schrodinger formulation for paraxial light beam propagation of the real and comprehensive refractive indexes is represented. the equation for the atom laser beam wave - function is also given by a schrodinger equation, which is similar to the equation of the time - dependent system. therefore, it is possible to investigate the propagation of an atom laser beam

    第二章:本章介紹了傍軸光束在實數折射率介質和復數折射率介質中傳輸的schrdinger形式理論,同時指出由於原子激光的傳輸滿足schrdinger方程,與含時量子系統的傳輸方程類似,故利用含時量子系統的schrdinger形式理論來研究原子激光的傳輸是可行的。
  2. The equation for the quasi - continuous atom laser beam wave - function is given by schrodinger equation, the beam width, divergence curvature radius and quality factor were introduced to represent the atom laser beam whose transverse potential could be separated. for the conservative quality factor system in some direction, we can ge t the propagator of abcd formulation

    本文在含時量子系統傳播子的abcd形式理論的基礎上,引入某一方向的束寬、發散角、曲率半徑和品質因子等光束傳輸參數來表徵橫向勢能滿足x和y分量相互獨立的原子激光的傳輸。
  3. Because the gross - pitaevskii equa - tion, which describes bose - einstein condensation by mean - field theory, is a nonlinear schrodinger equation

    由於平均場理論導致的描述玻色-愛因斯坦凝聚的gp方程是一個非線性schr (
  4. More precisely, we consider the existence time for a kind of the semilinear schrodinger equation, and the - existence of a solution of the initial boundary value problem for the klein - gordon equation with nonlinear damping and source terms

    ) dinger方程解的存在時間的估計和一類含非線性阻尼和源項的klein - gordon方程初邊值問題解的存在性。
  5. Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations

    第三部分:在一維情形,我們考慮了一類帶導數項的ginzburg ? landau方程,通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計,證明了當粘性系數趨于零時, ginzburg ? landau方程的解逼近相應的帶導數項的schr ( ? ) dinger方程的解,並給出了最優收斂速度估計;在二維情形,我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性,以及在某種特殊情形下, gl方程的解趨近於相應的帶導數項的schr ( ? ) dinger方程的弱解;在一般情形下,我們討論了一類ginzburg ? landau方程的非齊次邊值問題,通過幾個積分恆等式,同時估計解的h ~ 1模及法向導數在邊界上的模,證明了整體弱解的存在性。
  6. Algebraic method to the eigenvalue problem for the schrodinger equation with cornell potential

    勢下薛定諤方程本徵值問題的代數解法
  7. For a warm dusty plasma with variable dust charge, the modulational instability of the dust - acoustic waves can be described by the nonlinear schrodinger equation ( iut 4 - auxx + b | u | 2u = 0 ). it shows that the dust - acoustic wave is modulational stable in this dusty plasma. only the dark soliton exists in warm dusty plasma with variable dust charge

    通過約化攝動法,得到了描述塵埃微粒電荷可變的熱塵埃等離子體中塵埃聲波的非線性薛定諤方程( iu _ t + u _ ( xx ) + | u | ~ 2u = 0 ) ,不論是單離子溫度情形,還是兩離子溫度情形,塵埃微粒電荷可變的熱塵埃等離子體中的塵埃聲波是調制穩定的,僅存在暗孤子(包絡穴)
  8. The wavefunction satisfies the time - dependent schrodinger equation at all times

    波函數在任何時間皆滿足含時薜汀格方程
  9. By solving the nonlinear schrodinger equation with perturbation method and computer simulations, we have demonstrated that super - gaussian sliding - frequency filters are more effective to reduce timing jitter than conventional sliding - frequency filters without sacrificing the signal - to - noise ratio

    通過求解非線性薛定諤方程和數值模擬,我們認為超高斯滑頻濾波器能很好地控制孤子的時間抖動和相互作用。
  10. From the analytical point of view, with the aid of the numerical simulation, we investigate the propagation properties of optical pulses for the nonlinear schrodinger equation in picosecond regime, the higher - order nonlinear schrodinger equation in femtosecond regime, the nonlinear schrodinger equation with varying gain / loss and frequency chirping in homogeneous optical fibers, and ginzberg - landau equation that describes ultrashort pulses in the presence of self - frequency shift, respectively

    本文從解析的角度出發,同時藉助各種微擾理論和數值分析方法,分別研究描述皮秒光脈沖傳輸的非線性薛定諤方程、飛秒光脈沖傳輸的高階非線性薛定諤方程、非均勻光纖中光脈沖傳輸的含有頻率啁啾和增益損耗項的非線性薛定諤方程以及描述超短光脈沖傳輸的ginzberg - landau方程的解的特性,為進一步實現超高速、大容量的光信息傳輸提供一定的理論依據。
  11. An alternating group explicit iteration method for the schrodinger equation

    方程的一種交替分組顯式迭代方法
  12. We solve time - dependent schrodinger equation of one - dimensional atom in intense laser field with pseudospectral method by introducing nonlinear space transformation

    本文通過引入非線性空間變換,用偽譜方法數值求解了一維原子在強激光場中的含時schr (
  13. The two - dimensional nonlinear schrodinger equation with weakly damped that possesses a global attractor is considered

    本文考慮具有整體吸引子的帶弱阻尼的二維非線性schr ( ? ) dinger方程。
  14. Surface waves ), the 2d generalization of the usual cubic id schrodinger equation turns out to be the davey - stewartson equation. in chapter 1, we study the scattering for a class of nonlinear davey - stewartson equations with three nonlinearities. we proved that their scattering operator exists in h1

    在淺水波理論中, davey - stewartson方程是一個非常重要的模型,它可由具有立方項的一維schrdinger方程在二維中的推廣而得到,目前,已有大量的工作致力於該方程的初值問題的研究,本文第一章中利用研究schrdinger方程散射運算元的方法來得到具有三個非線性項的廣義davey - stewartson方程的散射運算元在整個能量空間h ~ 1中存在,當然其中附加了一些必要的假設。
  15. A note on multiple positive solutions for a nonlinear schrodinger equation

    方程多重正解的一個注記
  16. Then we also investigate the high harmonic generation and ionization of the long - range and short - range potential atoms by using numerical solution of the time - dependent schrodinger equation for a one - dimensional atom in intense laser fields

    ) dinger方程,研究了具有相同基態能量的一維長程勢原子和短程勢原子產生高次諧波和電離幾率的特點。
  17. Finally, by using split - operator method to solve time - dependent schrodinger equation of two - dimensional atom in intense laser field, we calculate high order harmonic generation and ionization probability of two - dimensional atom in intense laser field and compare our results with those of one - dimensional atom with same binding energy. it i & found that the cutoff position of high order harmonic generation obtained by using these two models are same, but there are great differences in ionization probability

    ) dinger方程,研究了兩維模型原子在強激光場中的高次諧波和電離幾率,並與具有相同基態能量的一維模型原子所得的結果進行了比較,結果表明,用這兩種模型所得的高次諧波的截止位置相同,但電離幾率有很大的差異。
  18. An absolutely stable difference scheme of high accuracy for solving schrodinger equation

    解高階拋物型方程的高精度顯式差分格式
  19. Schrodinger equation, bound states, hydrogen atoms, wave packets and uncertainty relations, wkb approximation, principle of quantum mechanis, perturbation theory, variational method, spin and angular momentum, scattering theory

    薛丁格方程、束縛態、氫原子、波包及測不準原理、 wkb近似、量子力學的原理、微擾論、變方法、自旋與角動量、散射論。
  20. In the case of non - interacting and interacting between the guided atoms, we use the schrodinger equation of cold atoms in single - channel magnetic guide to obtain the solutions of atomic wave function, and calculate the size of the ground - state wave function in the case of non - interacting between cold atoms

    本文運用冷原子在單通道磁導引中的薛定諤波動方程,求解了在考慮原子間相互作用和不考慮原子間相互作用兩種情況下的波函數,並計算了在不考慮原子相互作用情況下原子基態波函數的尺寸。
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