振子波函數 的英文怎麼說

中文拼音 [zhènzibōhánshǔ]
振子波函數 英文
oscillator wave function
  • 振 : 動詞1. （搖動; 揮動） shake; flap; wield 2. （奮起） brace up; rise with force and spirit
  • 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...
  • 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. By using the multi - configuration dirac - fock ( mcdf ) method, the effects of relaxation and correlation on the transition energies and probabilities of electric - dipole allowed ( el ) resonance and intercombination transitions for 2p53s3 - 2p6 in neutral neon have been systematically studied firstly. and the results of the transition energies and probabilities ( lifetimes ) in length and velocity gauge have been presented. during the calculation, in order to consider the rearrangement effects of the bound - state density and some important correlations, the asfs of transition initial - and final - states were divided according to their angular - momentum and parity and calculated, and different number of csfs were included in the expansion of asfs

    本文利用多組態dirac - fork （ mcdf ）理論方法，通過對輻射躍遷初、末態電子波函數的獨立計算以及在原子態波函數的展開中考慮不同數量的組態波函數，系統地研究了弛豫和相關效應對中性ne原子2p ~ 53s ~ （ 1 . 3 ） p _ 1 ~ o - 2p ~ 6 ~ 1s _ 0電偶極共振和復合躍遷的能量以及躍遷幾率的影響，給出了長度和速度兩種不同規范下激發態的能量和輻射壽命；以中性ne原子的研究為基礎，進一步研究了類ne等電子系列離子（ z = 11 - 18 ）較低的激發組態2p ~ 53s和基組態2p ~ 6的能級結構以及各能級間的輻射躍遷特性。
  2. 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。
  3. 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。
  4. Oscillator wave function

    振子波函數
  5. Space - time wave has a far greater and wider significance than particle wave vibration. no matter what mechanical vibration, electromagnetic surge or vocal wave, they are all manifestation of space - time vibration or a certain wave in special scope, all of which are general phenomena in nature of both macrocosm and microcosm, and can be expressed by stwf

    時空波動比粒子振動或波動有更廣泛深刻的含義，凡有空間有物質存在的地方都存在著時空波動，無論是機械振動電磁振蕩聲音振動等均是時空波動的某種表現形式，或是在某個特定時空范圍的波動，這種自然界的普遍現象在宏觀或微觀世界都可用時空波函數表達出來。
  6. 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。
  7. Using the canonical variable representation ( x, p ), the light - damping oscillator is discussed by the corrected time - dependent perturbation methods of dirac, it is turned out that the energy levels have shift and breadth, and the wave function decaying with time exponentially

    採用正則變數（ x ， p ）表象討論輕阻尼振子，並對量子力學含時微擾的狄拉克方法加以修改，得出量子能級有位移和寬度，以及波函數出現隨時間指數衰減的行為
  8. 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。
  9. Then the hamiltonian of the io algebraic model was diagonalized on the symmetrical bases, and the energy spectra of benzene and the corresponding wave function are obtained

    在對稱基上將io代數模型中的哈密頓量對角化，得到苯分子振子數高達10的能譜及相應的波函數。
  10. 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。
  11. 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。
  12. 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。
  13. 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。
  14. Using the formulized approach to the su ( 1, 1 ) h ( 4 ) time - dependent system, which is derived from the combination of the formulation of the time - dependent bogoliubov transformation and the evolution equation of the system, we obtain the time evolution operator, state function and heisenberg uncertainty relation of the parametric oscillator with cavity losses under the weak coupling approximation. we also discuss the squeezing property of the system

    本文利用含時波戈留波夫變換與時間演化方程相結合得到的求解su （ 1 ， 1 ） ? h （ 4 ）量子系統的時間演化算符和演化態的普遍公式，我們導出了帶腔損耗的參數振子在弱耦合近似下的演化算符，態函數和不確定乘積，並討論了系統的壓縮特性。
  15. The algorithm used in the past was usually based on fourier transform, but there are clearly limitations in the method, because the seismic amplitude spectrum that it evaluated is the function of time windows

    如果所選時窗過短，振幅譜會與變換窗函數褶積，失去頻率的局部化特徵，而且過短的時窗會使子波的旁瓣呈現為單一反射的假像。
  16. Abstract : the wavefunctions and energy eigenvalues for the ring - shaped oscillator are obtained using the ideas of supersymmetric quantum mechanics and shape invaricace

    文摘:採用量子力學中的超對稱性和形不變性，討論環形振子的波函數和能量本徵值
  17. 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。
  18. 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。
  19. Normalized radial wavefunctions of the ring - shaped oscillator have been obtained in ref. 1. on the basis of previous works ， in this paper ， the general formulas and the recurrence formulas for radial matrix elements of the ring - shaped oscillator are derived

    利用文獻1給出的環形振子的歸一化的徑向波函數，推導出環形振子徑向矩陣元的通項表達式及其遞推關系.解決了環形振子徑向矩陣元的計算問題
  20. 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
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