粒子波函數 的英文怎麼說

中文拼音 [lìzibōhánshǔ]
粒子波函數 英文
particle wave function
  • 粒 : Ⅰ名 （小圓珠形或小碎塊形物） small particles; grain; granule; pellet Ⅱ量詞（用於粒狀物）
  • 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
  • 粒子 : grain; granule
  • 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. Particles, such as pi-mesons, requiring symmetric wave functions are called bosons.

    要求對稱波函數的粒子，如介子，叫做玻色子。
  2. Particles, such as electrons, requiring antisymmetric wave functions are called fermions.

    要求反對稱波函數的粒子，如電子，叫做費米子。
  3. In fact, the deep overlapping of the wavepacket of particles implies new interactions which are technically called nonlinear ( in the sense of depending on powers of the wavefunctions bigger than one ), nonlocal ( in the sense that they are extended over the volume of wave - overlappings which cannot be evidently reduced to finite number of isolated points ), as well as nonpotential ( in the sense of being of contact / zero { range type for which the notion of action - at - a - distance potential has no mathematical or physical meaning of any type }

    事實上，粒子相互之間深深重疊的波包意味著新型的相互作用，技術上它可稱之為非線性意義為它們取決于波函數大於1次的幕而定，為非局部意義為它們的延伸超越了波重疊的體積，使其顯然無法再縮小到有限數孤立點，以及為非潛能意義為相互接觸零距離，在這種情況下一定距離下作用的潛勢不再有任何數學上或物理上的意義。
  4. Minus means that space - time circular frequency has a reverse direction to particle wave or the phasic difference between two circular frequencies is

    式中負號表示時空偏轉圓頻率方向與波粒子的波函數圓頻率
  5. 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。
  6. Several new physics experiments in 1998 were performed and analyzed to showthe subtlety of quantum theory, including the “ wave - particle duality ” and the nonseparability of two - particle entangled s tate. here it is shown that the measurement is bound to change the object by dest roying the original quantum coherence between the object and its environment. so the “ physical reality ” should be defined at two levels, the “ thing in itself ” and the “ thing for us ”. the wave function in quantum mechanics is just playing the role for connecting the two levels of matter via the fictitious measurement

    在1998年完成和分析的幾個新的物理實驗顯示了量子理論的微妙性，包括「波粒二重性」以及二粒子纏結態的不可分性.本文的分析表明：測量在破壞原來存在於客體及其環境間的量子相干性時必然要改變客體.因而「物理實在」應在兩個層次上定義： 「自在之物」與「為我之物」 .量子力學中的波函數則正起了通過「虛擬的測量」將這兩個層次的物質聯系起來的作用
  7. Abstract : several new physics experiments in 1998 were performed and analyzed to showthe subtlety of quantum theory, including the “ wave - particle duality ” and the nonseparability of two - particle entangled s tate. here it is shown that the measurement is bound to change the object by dest roying the original quantum coherence between the object and its environment. so the “ physical reality ” should be defined at two levels, the “ thing in itself ” and the “ thing for us ”. the wave function in quantum mechanics is just playing the role for connecting the two levels of matter via the fictitious measurement

    文摘:在1998年完成和分析的幾個新的物理實驗顯示了量子理論的微妙性，包括「波粒二重性」以及二粒子纏結態的不可分性.本文的分析表明：測量在破壞原來存在於客體及其環境間的量子相干性時必然要改變客體.因而「物理實在」應在兩個層次上定義： 「自在之物」與「為我之物」 .量子力學中的波函數則正起了通過「虛擬的測量」將這兩個層次的物質聯系起來的作用
  8. But difficulty in maths will come forth when meeting high spin particles if we using such method. on base of the characteristic of energy space, we obtained the wavefunctions and geometric phase by the trial function method in this paper. the berry phase of the system are also obtained after an evolution period

    文中在絕熱近似下根據自旋粒子能級間隔特點用嘗試波函數法求出了旋轉磁場中高自旋粒子系統的波函數及幾何相位，解決了用一般方法求解時出現高階微分方程的困難。
  9. 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。
  10. 2. in this paper, the continuity of the wavefunction and of its derivative divided by the band - mass can be satisfied and the number of the terms is small when calculating the energies of the single electron in a square quantum wire with finite barriers, then this wavefunction can also be selected as the envelope function in studying the impurity states and the excitons in the square quantum wires with finite barriers

    2 .由於本文所取波函數滿足波函數的連續性條件和粒子流的守恆條件，並且計算有限深方形量子線中單電子的能量時需要展開的項數較少，故此波函數也可選為有限深方形量子線中雜質態、激子等問題的包絡函數。
  11. The first two kinds of wavefunctions are simple formally, but there must be error of the numerical values of some physical magnitudes because there is a trouble with the continuity of the function and of its derivative divided by the band - mass at the boundaries. though the third kind of wavefunction can satisfy the continuity of the function and of its derivative divided by the band - mass, the number of the terms is so large that it is difficult to calculate the physical magnitudes in the single quantum wire

    前兩種波函數形式比較簡單，但由於在邊界處波函數的河北師范大學碩士學位論文連續性條件和粒子流的守恆條件存在問題，這必將對某些物理量的計算產生影響;第三種波函數在邊界處滿足波函數的連續性條件和粒子流的守恆條件，但是對于單量子線需要展開的項數很多，計算量太大。
  12. In 1985, takeshi kodama et al. [ 12 ] expressed the wavefunction as the combination of the function of the single electron in a one - dimensional square well with the finite barrier to calculate the binding energies of the exciton. this form does n ' t satisfy the continuity of the function and of its derivative divided by the band - mass

    1985年， takeshikodama等人在計算激子的束縛能時把單電子的波函數（ x ， y ）取為一維有限深方形量子阱中波函數的乘積，這種取法在邊界上不滿足波函數的連續性條件及粒子流（ 1 / m ~ * ） ' （ x ， y ）的守恆條件。
  13. [ 5 ] expressed the wavefunction in terms of a two - dimensional fourier series. this form can satisfy the continuity of the function and of its derivative divided by the band - mass. but the number of the terms is so large that it is difficult to calculate the physical magnitudes in the single quantum wire

    1996年， s . gangopadhyay等人將波函數用二維傅立葉級數展開，這種取法滿足波函數的連續性條件及粒子流（ 1 / m ~ * ） ' （ x ， y ）的守恆條件，但是當考查單量子線時，需要展開的項數很多，計算量很大。
  14. 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。
  15. Particle wave function

    粒子波函數
  16. 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。
  17. 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。
  18. 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。
  19. 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。
  20. In this wave function, we consider the whole coulombic correlation among the particles, and the effect of the interchanged term caused by the same particles. where a and are the two variational parameters, and the parameters of ax and yx are determined by the two equations obtained from the variation of the energy of excitons

    ） 2 ） ，在波函數中，考慮到了粒子間的全部庫侖相互作用，並且計入因相同粒子不可識別所帶來的交換項的影響，和是變分參數，而_ x和_ x由變分激子態的能量得到的兩個方程確定。
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