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cyclic commutation
相关语句
  循环交换
     In this paper,cyclic commutation relations of the set of spin-one operators Jx, {Jx,Jy}and {Jz,Jx} are used to simplify and obtain a formal solution to the time evolution of a three-level atom in two-photon resonance with two laser fields which are fully amplitude modulated in quadrature. The formalism can be used to study population trapping.
     本文利用自旋为1的算符Jx,{Jx,Jy}和{Jz,Jx}的循环交换关系,在位相差为的两模激光场振幅调制中考虑双光子谐振,得到了三能级原子的时间演化规律,并讨论粒子数俘获。
短句来源
  “cyclic commutation”译为未确定词的双语例句
     MQCPO shows a simple cyclic commutation relationship with the free procession Hamiltonian, but not with the Hamiltonian of a pulse effect.
     MQCPO有利于自由演化过程的描述,而脉冲作用的描述则是SAPO为佳;
短句来源
  相似匹配句对
     D—CYCLIC CRAPHS
     D—Cyclic图
短句来源
     On D-cyclic in Graph
     关于图中的支配圈
短句来源
     On the Operation of the Power of Commutation
     也谈减刑权的运作
短句来源
     Study on Commutation of Sentence
     减刑若干问题研究
短句来源
     MQCPO shows a simple cyclic commutation relationship with the free procession Hamiltonian, but not with the Hamiltonian of a pulse effect.
     MQCPO有利于自由演化过程的描述,而脉冲作用的描述则是SAPO为佳;
短句来源
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  cyclic commutation
The value of Lévi-Civitá democratic (super) operator approach is that it generates auxilary cyclic commutation properties permitting realistic extended form RWA usage.
      


A complete set of symmetry-adapted product operator was introduced to analyse multipulse FT-NMR experiments for spin-1/2 I2S and I3S systems. General cyclic commutation relations exist among the symmetrized product operators. These commutation relations govern the evolution rules of different order coherences under the action of the Hamiltonian in various stage of pulse sequence. The use of symmetry-adapted product operator algebra simplified the analysis of experiments and revealed more evident...

A complete set of symmetry-adapted product operator was introduced to analyse multipulse FT-NMR experiments for spin-1/2 I2S and I3S systems. General cyclic commutation relations exist among the symmetrized product operators. These commutation relations govern the evolution rules of different order coherences under the action of the Hamiltonian in various stage of pulse sequence. The use of symmetry-adapted product operator algebra simplified the analysis of experiments and revealed more evident physical meaning. The procedure was demonstrated by the treatment of DEPT experiment performed on spin-1/2 I2S and l3S systems.

以具有m个磁等性核的异核l_mS(l=1/2,S=1/2;m=2,3)自旋体系为例,从群论出发。引入了对称化乘积算符完备集;并表明各算符间普遍存在简单循环对易关系,这种对易关系反映了不同极化态矢及各阶量子相干在脉冲序列各时间域哈密顿量作用下的演化规律。运用对称化乘积算符代数对一些典型的多脉冲及二维FT-NMR实验,特别是DEPT脉冲序列进行了分析,得到了与通常乘积算符分析相一致的结果,但推导过程得以简化,物理意义更加明确。

Based on the Symmetry-Adapted Product Operator (SPO), the Moltiple Quantum Coherence Product Operator (MQCPO) formalism is introduced in this paper. The modified density operator theory is universal for the description of modern multiple pulse and two-dimensional NMR experiments performed on InS(I = 1/2, 5 = 1/2; n = an arbitray integer number) spin systems. In fact, MQCPO is a Hermitian combination of irredusible tensor operators for a compsite particle, and reveals symmetry properties of the spin system in...

Based on the Symmetry-Adapted Product Operator (SPO), the Moltiple Quantum Coherence Product Operator (MQCPO) formalism is introduced in this paper. The modified density operator theory is universal for the description of modern multiple pulse and two-dimensional NMR experiments performed on InS(I = 1/2, 5 = 1/2; n = an arbitray integer number) spin systems. In fact, MQCPO is a Hermitian combination of irredusible tensor operators for a compsite particle, and reveals symmetry properties of the spin system in a different aspect from SAPO. There exist simple linear relations between MQCPO and SAPO for In(I = 1/2, n = 2,3) spin systems, the SAPO forms of MQCPO are listed as a usual example. MQCPO shows a simple cyclic commutation relationship with the free procession Hamiltonian, but not with the Hamiltonian of a pulse effect. Therefore, MQCPO is convenient for description of evolution period. Using the linear relations between MQCPO and SAPO, as well as the permutation properties for the coordinate indices of Cartesian components in a SAPO, the description of a pulse action tarns out to be easy and direct under the "Z''-representation. Analyses of the pulse sequences for heteronuclear spectra editing and spin topology filtration have shown the power of this formalism.

在对称化乘积算符(简称SAPO)方法基础上提出了多量子积算符(简称MQCPO)方法。改进的密度算符理论对I_nS(I=1/2,S=1/2;n为任意正整数)自旋体系多脉冲及二维核磁共振实验的描述普遍适用。MQCPO与SAPO从不同角度反映了自旋体系的对称性,故它们之间存在简单线性关系。文中给出I_n(I=1/2,n=2,3)自旋体系MQCPO的SAPO表示。MQCPO有利于自由演化过程的描述,而脉冲作用的描述则是SAPO为佳;利用MQCPO与SAPO的线性关系及SAPO笛卡儿分量的坐标轮换性质,“z”表象下脉冲作用的描述变得简单而直观。对异核谱剪辑及自旋拓扑滤波(spin topology filtration)等实验脉冲序列的分析,该方法是方便的。

In this paper,cyclic commutation relations of the set of spin-one operators Jx, {Jx,Jy}and {Jz,Jx} are used to simplify and obtain a formal solution to the time evolution of a three-level atom in two-photon resonance with two laser fields which are fully amplitude modulated in quadrature. The formalism can be used to study population trapping.

本文利用自旋为1的算符Jx,{Jx,Jy}和{Jz,Jx}的循环交换关系,在位相差为的两模激光场振幅调制中考虑双光子谐振,得到了三能级原子的时间演化规律,并讨论粒子数俘获。

 
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