哈密顿算符

词组短语

Hamiltonian operator

与哈密顿算符相关的网络例句 [注：此内容来源于网络，仅供参考]

By using the finite difference technique and by introducing the second-quantized operator, the Hamiltonian is expressed in a compact form.

使用了有限差分方法处理微分算符，并对其进行二次量子化，从而得到了用算符表示的哈密顿量表达式。

States of a quantum systme are described by vectors of a Hilbert spance spanned by the eigenvectors of its Hamiltonian operator.

量子系统的状态用希尔伯特空间的矢量来描述，希尔伯特空间的距离与其哈密顿算符的本征值相联系。

The Hamiltonian operator of system of heisenterg chain function the complete basis vectors produced with permutation group to form energy matrix.

将一维海森堡体系的哈密顿算符作用于完备基矢形成能量矩阵。

A semi-classical Hamiltonian is deduced from the spin Hamiltonian operator with the correspondingmass being position-dependent.

从自旋哈密顿算符导出的半经典哈密顿量包含一个与位置有关的质量。

Applying atomic many-body theory to analyse the Goldston diagrams of effective Hamiltonian and wave operator about electron-electron correlation for open shell atoms, we use a simple method to evaluate the effective Hamiltonian and calculate the correlation effectes of Corbon with HFS model as a zeroth order approximation. Making contrasts with the experiment and the calculation based on HF model we get pleased results.

应用原子多体理论对开壳层原子中电子关联效应的有效哈密顿量及波算符的Goldston图进行了分析，在此基础上得到了计算有效哈密顿量的简单方法；以HFS模型为零级近似对中性碳原子基态的关联效应进行了计算并通过与实验结果及其他文献基于HF模型进行的计算相比较，得到了令人满意的结论。

In this thesis the process of constructing the non-perturbative Hamiltonian theory is de-scribed and is applied to estimate the vacuum condensate. It contains the following contents:At the very beginning, by using the path integral method and eliminating the gluon freedom, aGCM action 〓 of current quarks including lower order current-current coupling was derivedfrom the QCD Lagrangian and the effective Hamiltonian operator that could hardly be doneby the normal methods was derived. After doing this, the broken vacuum is introduced whichincludes quark-antiquark condensate through the generalized Bogoliubov-Valatin transformation,the effective Hamiltonian of constituent quark was derived. The detailed formulas containingthe spatial current-current coupling term for the effective Hamiltonian and gap equations wasworked out by parameterizing the correlation kernel as a quadratic potential. And then, the gapequation was solved and the quark-antiquark condensate of vacuum was studied both in the casesof instantaneous interaction and retarded interaction. In the end, the effective Hamiltionian withtwo-body quark-quark interaction was derived with one-body approximation, and with the helpof the functional integral method the coupling non-linear dynamic equations for systems withnuclear matter was derived. Finally, these equations were solved by selfconsistent method andthe effect of nuclear matter on vacuum condensate was studied. The spatial current-current coupling term is too difficult to handle, hence the correlationkernel is assumed to be not important and usually omitted in the pure vacuum condensate, andthe instantaneous interaction generally is adopted. Retaining the spatial current-current termand partial retardation effect, the quark pairs condensate in pure vacuum was studied, and theeffect of quark mass was also studied. At present, little study is focused in the case with nuclearmatter and spatial current-current term also omitted. Under the approximation with partialspatial current-current term, the effect of nuclear matter on vacuum condensate was studied.

本论文描述了量子色动力学整体色对称模型哈密顿量方法的构建过程，得到了反映正反夸克对凝聚真空结构的关于组分夸克的有效哈密顿量算符，它隐含了胶子作用，并且准确至流-流耦合项；接着，通过参数化哈密顿量中的夸克作用关联核，导出平方禁闭势参数化选择的哈密顿量的具体公式和能隙方程；随后，应用公式，编程求解，考察了瞬时作用下和部分延迟作用下真空的正反夸克对凝聚，在计算中保留了空间流-流耦合作用；之后，导出瞬时势和延迟势下包含二体作用项的哈密顿量公式，并采用单体化近似，通过泛函变分方法得到核物质存在时耦合的非线性动力学方程；在保留部分空间双流耦合作用的近似下，求解核物质的动力学方程，考察核物质密度对真空凝聚的影响，以往考察真空凝聚，对关联核的选用，由于空间流-流耦合项不易处理，也认为作用不大，常忽略该项，并且常采用瞬时作用；本文保留空间双流项和部分延迟作用，考察了真空情形的夸克对凝聚，还考察了夸克质量对纯真空凝聚的影响，以往对核物质存在情形的真空凝聚考察很少，也都忽略空间流-流项，本文在考虑部分空间流-流项近似下，考察了核物质存在对真空凝聚的影响。

Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式，给出两个基本定理并证明，提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法，然后利用这两个定理构造量子力学中常见力学量的阶梯算符，并用以计算其能量本征值和对应本征函数：一维谐振子的能量本征方程；共同本征态；氢原子束缚态径向方程；三维各向同性谐振子的径向方程；无限深球势阱。

In this paper we separate the Hamiltonian into three parts: a spherical symmetry Hamiltonian; a z-component of the angular momentum operator, and a non-spherical symmetric potential as the perturbation operator, and provide a propose method by separating the potential containing squared magnetic field B^2 into two parts spherical symmetric and non-spherical symmetric ones so that the first-order energy correction due to the non-spherical symmetric potential is zero, and the second-order correction due to B^2 can be obtained by a simple variational method.

采用变分法和微扰法相结合的方法，把高强度磁场中氢原子的哈密顿H分为三部分：球对称哈密顿；z分量角动量算符相应部分和非球对称势微扰，并用一种特别规定的分解法将哈密顿H中含磁场平方项的势能分解为球对称与非球对称两部分，且使非球对称部分引起的一级修正能量值为零，并采用一种简便的变分法直接求出B^2对能级的二级修正值。

Afterwards, using the spherical tensor form of many-electron atom Hamilton and the irreducible tensor theory, the relativistic and fine-structure energy correction to the non-relativistic energy of Boron-like atoms in the ground and the first excited states have been further investigated. A theoretically analytic way has been given as to the calculation of all the radial integrations and spin summations, which concern interactions such as orbit-orbit, spin-orbit, spin-spin and spin-other-orbit. Therefore, the whole process of calculating the many- electron atom energy structures has been explicitly revealed and the results are relatively precise and satisfactory.

在此基础上，利用多电子原子哈密顿算符的球张量形式和不可约张量理论，进一步研究了类硼离子基态和第一激发态非相对论能级的相对论修正和精细结构，给出了轨道-轨道、自旋-轨道、自旋-自旋、自旋-其它轨道等相互作用所涉及的所有角向积分和自旋求和的解析计算方法，清晰地展示了多电子原子结构计算的过程，得到了较为精确的理论计算结果。

In a word, a new method that theoretically calculates the relativistic corrections and the fine structure of the energy levels in two-electron atom, including the atomic Hamiltonian expressed by spherical tensors, the calculation of the angular matrix elements and the summations over spin of the various interactions in the atomic Hamiltonian, and the approximate calculation of the radial matrix elements, has been provided in this thesis.

总之，本文为双电子原子能级的相对论修正和精细结构的理论计算提供了一种新的方法，包括原子哈密顿算符的球张量表示方法、原子哈密顿中各种相互作用项的角向矩阵元和自旋求和的计算方法，以及径向矩阵元的近似计算方法。

与哈密顿算符相关的网络解释 [注：此内容来源于网络，仅供参考]

absolutely continuous：绝对连续

如同其他自伴算符,哈密顿算符的谱可以透过谱测度(spectral measure)被分解,成为纯点(pure point)、绝对连续(absolutely continuous)、奇点(singular)三种部分.

Hamilton's characteristic function：哈密顿特性函数

hamatofynornmeter 血萤光计 | Hamilton's characteristic function 哈密顿特性函数 | Hamiltonian operator 哈密顿算符

hamilton principal function：哈密顿织数

hamilton operator 哈密顿算符 | hamilton principal function 哈密顿织数 | hamilton principle 哈密顿原理

Hamilton's principle：哈密顿原理

hamilton jacobi's equation 哈密顿 雅可比方程 | hamilton's principle 哈密顿原理 | hamiltonian 哈密顿算符

Hamiltonian operator：哈密顿算符

哈密顿函数 hamiltonian function | 哈密顿算符 hamiltonian operator | 锤式破碎机 hammer crusher

hamiltonian path：哈密顿路径

Hamiltonian operator | 哈密顿算符 | Hamiltonian path | 哈密顿路径 | Hamming bound | 汉明界

Hamiltonian：哈密顿算符

量子力学中,哈密顿算符(Hamiltonian) H为一个可观测量(observable),对应于系统的总能量. 一如其他所有算符,哈密顿算符的谱为测量系统总能时所有可能结果的集合. 如同其他自伴算符(self-adjoint operator),

observable：可观测量

量子力学中,哈密顿算符(Hamiltonian) H为一个可观测量(observable),对应于系统的总能量. 一如其他所有算符,哈密顿算符的谱为测量系统总能时所有可能结果的集合. 如同其他自伴算符(self-adjoint operator),

spectral measure：谱测度

如同其他自伴算符,哈密顿算符的谱可以透过谱测度(spectral measure)被分解,成为纯点(pure point)、绝对连续(absolutely continuous)、奇点(singular)三种部分.