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1)  Local unitary transformation
局域幺正变换
2)  unitary transformation
幺正变换
1.
By utilizing the unitary transformation such as the rotational transformation in Schwinger angular momentum representation,Bogoliubov transformation and the squeezed transformation,the two-body interacting Hamiltonian in the form of H∧_k=A_1a~+_ka_k+A_2b~+_kb_k+(Ba~+_kb~+_k+B~*a_kb_k)+(Ca~+_kb_k+C~*b~+_ka_k)is diagonalized.
利用Schwinger角动量表象的转动变换,玻戈留玻夫变换,压缩变换等幺正变换,对∧Hk=A1ak+ak+A2bk+bk+(Bak+bk++B*akbk)+(Cak+bk+C*bk+ak)形式磁有序物质的二体耦合哈密顿量进行了对角化。
2.
The Hamiltonian of the system was diagonalized by unitary transformation to obtain the eigenenergy spectra of the circuit.
通过幺正变换将系统的哈密顿量对角化,给出体系的本征能谱。
3.
We find that when the channels are nonmaximally (entangled) states by introducing an ancillary qubit and constructing an unitary transformation properly,teleportation of two-particle entangled state can be implemented with certain probability.
发现在使用非最大纠缠态作为量子通道时,通过引进一个辅助粒子,并构造一个幺正变换矩阵,即可以一定的几率完成二粒子纠缠态的隐形传输。
3)  non unitary mapping
非幺正变换
4)  semiunitary transformation
半幺正变换
1.
In thisarticle,theoperator \$Q,\$characterizing the semiunitary transformation relating the partner Hamiltonians,proposed in Refs and is structured for some circumstances in SSQM.
讨论了表征超对称量子力学中 H± 之间的半幺正变换的算符 Q,给出了在若干情况下 Q的具体形
5)  Bogoliubov unitary transformation
Bogoliubov幺正变换
6)  supersymmetric unitary transformation
超对称幺正变换
1.
For Jaynes-Cummings model which contains the inverse operators, we find its supersymmetric structure and diagonalize the Hamiltonian via the method of supersymmetric unitary transformation.
对于具有逆场算符的 Jaynes-Cummings Hamiltonian,我们发现了它的超对称结构,并应用超对称幺正变换的方法将其对角化,从而得到了它的本征值、本征态,同时也计算了态的演化和跃迁几率。
2.
For Jaynes—Cummings model which describes interaction of a single two-level atom with a single quantized riadiation field related to the intensity,we find its supersymmetric structure and diagonalize the Hamiltonian via the method of supersymmetric unitary transformation.
并应用超对称幺正变换的方法将其对角化 ,进而得到了它的本征值和本征态 。
补充资料:超导电性的局域和非局域理论(localizedandnon-localizedtheoriesofsuperconductivity)
超导电性的局域和非局域理论(localizedandnon-localizedtheoriesofsuperconductivity)

伦敦第二个方程(见“伦敦规范”)表明,在伦敦理论中实际上假定了js(r)是正比于同一位置r的矢势A(r),而与其他位置的A无牵连;换言之,局域的A(r)可确定该局域的js(r),反之亦然,即理论具有局域性,所以伦敦理论是一种超导电性的局域理论。若r周围r'位置的A(r')与j(r)有牵连而影响j(r)的改变,则A(r)就为非局域性质的。由于`\nabla\timesbb{A}=\mu_0bb{H}`,所以也可以说磁场强度H是非局域性的。为此,超导电性需由非局域性理论来描绘,称超导电性的非局域理论。皮帕德非局域理论就是典型的超导电性非局域唯象理论。

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