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能量本征值     
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  energy eigenvalue
     The energy eigenvalue of the common double couplings with non-identical harmonic oscillators was studied by transformation of coordinates under the effects of coupling -λx_1x_2+vp_1p_2.
     利用坐标变换技巧 ,研究了两个质量和频率均不相同的玻色谐振子体系 ,得到了在 -λx1x2 +vp1p2 耦合作用下能量本征值的精确解 .
短句来源
     Energy Eigenvalue Calculation and Gain Characteristics Analysis of Quantum Structure Lasers
     量子结构激光器能量本征值计算及增益特性分析
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     Calculation of Energy Eigenvalue of Quantum System by Shape Invariance Technique
     运用形状不变技术计算量子系统的能量本征值
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     Algebraic structure and the energy eigenvalue of the Heisenberg antiferromagnetic model
     海森堡反铁磁模型的代数结构和能量本征值
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     The energy eigenvalue spectrum and the eigenfunctions of schr*idinger equation with Hulthen potential are obtained.
     应用超对称量子力学 (SQM)方法得到了具有Hulthen势的Schr dinger方程能量本征值谱和本征函数的精确解 .
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  eigenvalue of energy
     Elementary introduction to eigenvalue of energy of H_2 molecule in spin space under Heitler-London approximate
     Heitler-London近似下自旋空间中H_2分子的能量本征值
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     Some Views of “The Probabilistic Interpretation” and “The Theory of The Eigenvalue of Energy” in Quantum Mechanics
     关于量子力学中“几率解释”和“能量本征值理论”的一些看法
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     Algebraic approach to eigenvalue of energy of bound states system under supersymmetric potential
     超对称势作用下束缚态体系能量本征值的代数解法
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     this fact contradicts the known results——“the theory of the eigenvalue of energy”, “the kinetic energy is a positive operater”,“the tunnel effect”and so on.
     这与“能量本征值理论”,“动能是正算子”,“隧道效应”等传统的结论相抵触。
短句来源
     With the aid of the concepts of the supersymmetric potential and the spouse potential,we use algebraic method to solve the eigenvalue of energy of bound states system and its concerned wave function which under the constant form potential. Furthermore,we have a specific argument that take hydrogen atom as a typical example.
     借助于超对称及其配偶势的概念,用代数方法求解了形状不变势作用下束缚态体系的能量本征值及相关波函数,并以氢原子等典型问题为例进行了具体讨论。
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  intrinsic energy
     Numerical Method of the Intrinsic Energy and the Radial Wave Function of a Partical in a Central Force Field
     中心力场中粒子能量本征值和径向波函数的数值计算
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  “能量本征值”译为未确定词的双语例句
     Using an ansatz for the eigenfunction,we obtain the analytic solution to the schrdinger equation for the superposition potential V(r)=B_6r~6+B_5r~5+B_4r~4+B_3r~3+B_2r~2+B_1r.
     根据波函数的有限性和叠加势函数的渐近性质,通过待定波函数的设定,得到势函数表示为V(r)=B6r6+B5r5+B4r4+B3r3+B2r2+B1r的径向schr dinger方程的精确的能量本征值和本征波函数。
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     We present the configuration interaction of atom in detail,It reflects the exchange and the correlative interaction between electron-electron,We calculated the effect of the configuration interaction for the principle states 2s2s1S, 2s3s3S, 2s2p1P and 2s2p3P of the Be atom especially, using a simple configuration interaction (CI) procedure, proposed recent years.
     本文采用改进的CI(Configuration Interaction)方法,径向波函数数采用B-spline函数展开来计算Be原子组态2s2s~1S,2s3s~3S,2s2p~1P及2s2p~3P的能量本征值
短句来源
     In this paper,by us ing the continued method,the exact energy eigenvalues(i.e.the exact values of the bi nding energy of molecular crystal)of the Hamiltonian operator of the molecu-la r crystal with the interaction potential between atoms in the molecular crystal V(r)=A 1 r-10-A 2 r-6 +A 3 r 2 (A 1 ,A 2 ,A 3 >0)is acquired.
     本文采用连分法得到描述分子晶体中分子之间的相互作用势V(r)=A1r-10-A2r-6+A3r2(A1,A2,A3>0)的分子晶体的Hamiltonian算子的精确的能量本征值和能量本征函数。
短句来源
     Using the continued fraction method,we have obtained the exact energy eigenvalues of the Hamiltonian operator of the ion with potential V(r)=Z~2r~(-4)-d_1d_2r~(-3).
     采用连分法,得到离子之间相互作用势为V(r)=Z2r-4-d1d2r-3的离子的Hamiltonian算符的精确能量本征值和能量本征函数.
短句来源
     In this paper, using the continued fraction method, the exact energy eigenvalues (i. e.the exact values of the binding energy of the molecular crystal) of the Hamiltonianoperator of the molecular crystal with the interaction potential between atoms in themolecular crysal V (r) = A1r(-10) - A2r(-6) (A1, A2>0).
     采用连续分数法得到了具有分子晶体中的分子之间的相互作用势为V(r)=A1r-10-A2r-6(A1,A2>0)的分子晶体的Hamiltonian算子的精确的能量本征值(即分子晶体的束缚能的精确值)。
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  energy eigenvalue
The energy eigenvalue equation was solved in the angular momentum representation by adopting the "decoupledl-channels approximation".
      
On the complex energy eigenvalue theory of alpha decay
      
We have developed a method to compute alpha decay widths in the theoretical frame of the complex energy eigenvalue.
      
These manipulations suggest for the three-body termsWi a well-adapted choice, leading to an energy eigenvalue equation which is compact and has a clear nonrelativistic limit.
      
The energy eigenvalue equation is obtained by simply adding the free Hamiltonians and the mutual interaction potentials.
      
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  intrinsic energy
The intrinsic energy of a system is calculated as the expectation value of the Hamiltonian with respect to a T-dependent thermal vacuum state for a thermal-phonon operator.
      
Variations of the intrinsic energy of a conductor are studied by the example of a conductive liquid drop in the case where a drop affected by a polarization charge becomes unstable.
      
The total energy of the vortex is its intrinsic energy plus the sum of its energies of interaction with other members of the chain.
      
In turn, the intrinsic energy is the sum of the energies of the small discrete core and quasi-continuous outer shell.
      
The heat flux is determined from the reduction in the intrinsic energy of a massive bar over a definite time interval by graphic integration of the temperature field over the bar length.
      
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In this paper the following results are proved:although the single-particle(sp)

本文证明了以下结果:虽然单粒位阱 u_(αβ)=M_(αβ)(εβ)[或 u_(αβ)=M_(αβ)(εα),M_(αβ)(ω)为质量算符]是非厄米的,但由它所确定的断续本征值ε_γ却一定是实的,而且严格满足以下关系:ε_γ,=±[E_(nγ)(N±1)—E_0(N)]其中 E_0(N)与 E_(nγ)(N±1)分别表示满壳核(核子数为 N)基态与(N±1)核的严格能量本征值.此外,为了判断任一单粒位阱的本征值是否也可能满足上述关系,文中给出了一个计算其判据的简便方法.应用这方法还可很容易地算出单粒格林函数的振幅修正.

Some collectors as xanthates,dithiophosphates,dithiocarbamates and fatty acid are widely used and very important in floatation.The eigenpolynomials for the polar group in such collectors are derived by means of Hilckel molecular orbital (HMO) theory and graph theory.Every polynomial with respect to a kind of collector is in itself a set of functions corresponding to subgraphs which can be derived from the original molecular graph.Such an approach have an advantage of introducing directely the heteroatom coulomb...

Some collectors as xanthates,dithiophosphates,dithiocarbamates and fatty acid are widely used and very important in floatation.The eigenpolynomials for the polar group in such collectors are derived by means of Hilckel molecular orbital (HMO) theory and graph theory.Every polynomial with respect to a kind of collector is in itself a set of functions corresponding to subgraphs which can be derived from the original molecular graph.Such an approach have an advantage of introducing directely the heteroatom coulomb parameters and the exchange parameters into molecular graphs and then proceed to introduce them into polynomial graph and,finally,to yield the polynomials as reguired.The energy eigenvalues and charge densities on each atom in polar group are also calculated.The results indicate that the sulphur atoms in collector's molecules possess more negative charges and so the sulphur would play an important role in ore floatation by inference.The vacant or-bitals of the metallic ions of ore are filled with the electrons from sulpher atoms,thus forming the complexes.This argument would contribute to explain the mechanism of collectors above-mentioned in ore floatation.

本文根据HMO理论将图形理论方法应用于含杂原子的浮选药剂,求得了黄药、黑药、二硫代氨基碳酸和脂肪酸中极性部分的本征多项式、能量本征值和黄药极性基中各原子的电荷密度。计算结果表明,负电荷梨中予硫原子上,从而可推断在浮选金属时,捕收剂物质中硫是起主要作用的原子。这为研究常用的捕收剂与金属的反应机理提供了理论根据。

In this paper,the motion of the electron in inhomogeneous magnetic fields expressed by H_x=H_y=0,H_z=-■∈(y) and ∈(y)=y/|y|(y≠0) is dis- cussed in both relativistic and non-relativistic quantum theory.The corres- ponding energy eigenvalues and exact electron eigenfunctions are deduced. A noteworthy result is the quantization of y_0,the y-coordinate of the orbit centers of the electron,in a finite region about the boundary face y=0,where the magnetic fields are discontinued.

本文用相对论和非相对论量子理论讨沦了非均匀磁场■[H_x=H_y=0,H_z=-■∈(y),∈(y)=y/|y|(y≠0)]中电子的运动。给出了相应的能量本征值和严格的电子波函数。一个值得注意的结果是:在y=0磁场突变界面附近的有限区间上电子轨道中心y坐标y_0是量子化的,因而y_0的本征值α取有限分离谱。

 
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