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能谱方程
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  energy equation
     The potential energy function of a ring-shaped non-spherical oscillator is V(r,θ)=12mω 2r 2+ 22m Ar 2+ 22m br 2sin 2θ. The exact energy equation and the normalized wavefunctions have been obtained.
     环形非球谐振子的势能函数为V(r,θ) =12 mω2 r2 +22mAr2 +22mbr2 sin2 θ,其精确的能谱方程和归一化的波函数已经获得 .
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     The exact energy equation is obtained.
     然后求解了角向方程和径向方程 ,给出了精确的能谱方程 .
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      The Schrdinger equation with a ring shaped non-spherical oscillator (RSNSO) potential is solved by using the usual method of variable separation. The exact energy equation is obtained. The normalized angle wavefunctions expressed in terms of the universal associated-Legendre polynomials and the normalized radial wavefunctions expressed in terms of the confluent hypergeometric function are presented.
     将环形非球谐振子势的Schr dinger方程在球坐标系中进行变量分离 ,得到了角向方程和径向方程 ,给出了精确的能谱方程 ,获得了用普遍的associated -Legendre多项式表示的归一化的角向波函数和用合流超几何函数表示的归一化的径向波函数。
短句来源
     The Schrdinger equation with the ring-shaped Hartmann potential is solved by using the usual method of variable separation in spherical polar coordinates. The exact energy equation is obtained by then solved angle equation and radial equation. The normalized angle wavefunction and radial wavefunction are presented.
     将环形Hartmann势的Schrdinger方程在球坐标系中进行变量分离,然后求解角向方程和径向方程,得出了精确的能谱方程,获得了归一化的角向和径向波函数,并给出了Hartmann势的径向矩阵元和径向平均值的通项表示式.
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     The non-relativistic approximation of wave functions and energy equation and phase shifts are also studied.
     讨论了散射振幅的解析性质和波函数、能谱方程以及相移的非相对论近似.
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  “能谱方程”译为未确定词的双语例句
     The exact energy expressions and the normalized wave functions for Klein-Gordon equation are presented.
     对于Klein_Gordon方程,获得了精确的能谱方程和归一化的波函数.
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     We give the spectra equation of double particle Green Function and the process eliting it. As well as the second approximate formula of the TDA approximate diagram is also given.
     本文给出了双粒子格林函数的能谱方程及其简单的推导过程,而且还推导出了在TDA近似下的顶角因子的二级近似公式。
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     The equation of the electron energy spectrum is derived using the quasi-linear kinetic equation,and the solution of the energy spectrum is obtained.
     从一维准线性的动力学方程出发,导出了沉降电子通量的能谱方程,得出了电子通量能谱的理论公式。
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     In this paper, exact bound state solutions for Klein-Gordon equation and Dirac equation with linear potentials in one-dimensional half-space are obtained provided that the scalar-like potential is stronger than the vector-like potential, the energy equations and the wavefunctions of bound states are presented.
     在标量势大于矢量势的条件下获得了一维半空间中带线性势的Klein-Gordon方程和Dirac方程束缚态的精确解,给出了能谱方程和束缚态波函数.
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     The exact energy expressions and the normalized analytically wave functions for bound states are presented. Two recurrence formulas and some explicit expressions for lower power radial average values are also derived.
     给出了精确的能谱方程和归一化的解析波函数 ,推导出径向平均值的两个递推关系和部分低幂次径向平均值的解析表达式 .
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  相似匹配句对
     The simple equation changes into nonlin-ear Schrodinger equation when viscous effect is died away.
     dinger 方程
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     Flow equations for solving elementary excitation energy spectrum of the t-J model
     用流方程求解t-J模型的元激发能谱
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     Synthetic Aperture Radar Equations
     合成孔径雷达方程
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     ENERGY SPECTRA OF THE SOLAR WIND
     太阳风的能谱
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     spectroscopy detection.
     能谱检测。
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  energy equation
And then by exact analysis of the energy equation, it is shown that the global weak attractor is actually the global strong attractor in Hperk.
      
The Navier-Stokes equations and the energy equation for the steady heat transfer regime form the basis of the calculations.
      
The method is based on an initial specification of the power-law coupling between the dimensionless Lagrangian and Eulerian variables and replacement of the energy equation by this coupling and the energy integral.
      
The energy equation corresponds to the de-excitation of an optically thin volume with a power-law dependence of the radiativity on the density and temperature.
      
This type of approach permitted investigating an energy equation without electromagnetic terms, which to a certain degree facilitated the solution of the problem.
      
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In this article, the diagonalization problem of a Hamiltonian with a general bilinear form isdiscussed by means of Green's function method. We have obtained the equation which is used to determine the energy spectrum. The excitations and life-times of a system of interacting bosons are inves- tigated under the cut-off approximation. At the temperature of absolute zero, the results obtained are in agreement with those of Bogoliubov and Beliaev, and others.

本文利用格林函数方法讨论了一般双线型(玻色算符)哈密顿的对角化问题,得到了决定能谱的方程。其次在截断近似下讨论了互作用玻色系的激发谱及其寿命。在绝对零度下所得到的结果与波戈留博夫及白利亚也夫等人的相一致。

Using the eigenvalue equation derived from the single particle (sp) Green's func-tion and the reaction (G) matrix based on the Hamada-Johnston potential, we havecalculated the sp energies of ~(17)O and the sh (hole) energies of ~(15)O as well as therelative magnitude of the corresponding transfer matrix elements. As a first step,we have only considered an approximation for the mass operator up to the first-orderin G, however the energy dependence of G has been taken into account properly. Theeigenvalue equation...

Using the eigenvalue equation derived from the single particle (sp) Green's func-tion and the reaction (G) matrix based on the Hamada-Johnston potential, we havecalculated the sp energies of ~(17)O and the sh (hole) energies of ~(15)O as well as therelative magnitude of the corresponding transfer matrix elements. As a first step,we have only considered an approximation for the mass operator up to the first-orderin G, however the energy dependence of G has been taken into account properly. Theeigenvalue equation is solved by a self-consistent procedure (SCP). We have speci-fically investigated the rate of convergence of this SCP and that of the truncation ap-proximation. Further, the effect of the spurious center of mass motion and the depen-dence of our results on the input values of parameters of the harmonic oscillatorpotential which is used as the initial approximation of our SCP have also been studied.The calcuated results fit the experimental values quite well, though the method used ismuch simpler than the renormalized Brueckner-Hartree-Fock method.

根据由格林函数方法导得的满壳层相邻核能谱所满足的方程,在取质量算符(按G矩阵展开)的一级近似下,应用Hamada-Johnston势,计算了A=15核的0s_(1/2)、0p_(3/2)、0p(1/2)空穴态和A=17核的0d_(5/2)、1s_(1/2)、0d_(3/2)粒子态能谱与相应的跃迁振幅比,计算中严格顾及了G矩阵的能量相关性。文中对能谱方程自洽求解的收敛速度以及截断近似和选作表象的单粒谐振子势参数对计算结果的影响进行了考察。本文还讨论了质心伪态的消除问题,给出了引入质心谐振子势后计算G矩阵的具体公式。除Os(1/2)态外,本文算得的能谱均消除了质心伪态的影响。与以往重整化的Brueckner-Hartree-Fock(RBHF)计算相比,本文采用的方法计算简单,结果与实验符合颇好。

Observations show that there is a acceleration region on the high-latitude auroral field lines at the altitudes ranging from 2000 km-8000 km.It is pointed out in this paper that plasma sheet electrons are accelerated by the electrostatic waves turbulence and the large scale DC parallel electric field within-the acceleration region to form inverted-V structures.The equation of the electron energy spectrum is derived using the quasi-linear kinetic equation,and the solution of the energy spectrum is obtained.The...

Observations show that there is a acceleration region on the high-latitude auroral field lines at the altitudes ranging from 2000 km-8000 km.It is pointed out in this paper that plasma sheet electrons are accelerated by the electrostatic waves turbulence and the large scale DC parallel electric field within-the acceleration region to form inverted-V structures.The equation of the electron energy spectrum is derived using the quasi-linear kinetic equation,and the solution of the energy spectrum is obtained.The main characters of the electron energy spectrum can be explained by this theory.

沿极光区磁力线大约在2000公里到8000公里的高度范围内,存在着一个等离子体湍流和大尺度平行电场的加速区。沿磁力线运动的等离子体片中的电子通过此加速区时,受到等离子体湍流和平行电场的共同作用,形成电子沉降的倒V结构。从一维准线性的动力学方程出发,导出了沉降电子通量的能谱方程,得出了电子通量能谱的理论公式。对等离子体湍流和平行电场对沉降电子能谱的影响作了分析和讨论。本文所提出的理论可以解释目前观测到的某些基本现象。

 
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