Excited States of Magnesium Complexes of Porphin and Bacteriochlorin

Quantum-chemical calculations of magnesium complexes of porphin (D _4h , C _4v ) and bacteriochlorin (D _2h , C _2v ) have been carried out for three variants of Mg parameters used in the CNDO/S method. It is shown that the Mg parameters and z _Mg weakly influence the results of the calculations of these complexes in the excited S _i states localized on the macrocycles in contrast to the calculations for the S _i ^CT states. The G S _i ^CT transitions are transitions with intramolecular electron transfer (CT) from the macrocycles to Mg. The energies of the S _i ^CT states can be close to the energies of the B levels and differ by a value from 1600 to 6400 cm^–1 depending on the Mg parameters. A displacement of Mg (z _Mg) 0) from the midplane of the macrocycles and hydrogenation of the pyrrole rings decrease the energies of the lower G S _i ^CT transitions and enhance their CT character.     

Eu原子偶宇称高激发态的场电离探测

利用共振激发技术和电场电离(EFI)方法研究了铕(Eu)原子偶宇称高激发态。实验共探测到89个态,其中报道了56个态的能级位置和光谱归属等信息。经过对有效主量子数和量子亏损进行理论分析,并结合文献结果的对比,不但认定它们属于4f76s(9S)np(8PJ或10PJ)里德伯系列,还填补了该系列中n=19～39各态的文献空白。另外,建议将Eu原子第一电离限修正为45734.2cm-1,同时解释了在其附近所观察到的宽峰的物理机制。     

Quantum Properties of Two-Mode Squeezed Even and Odd Coherent States

Two new types of quantum states are constructed by applying the operator s(ξ) = exp(ξ*ab - ξa b ) on the two-mode even and odd coherent states.The mathematical and quantum statistical properties of such states are investigated.Various nonclassical features of these states,such as squeezing properties,the inter-mode photon bunching,and the violation of Cauchy-Schwarz inequality,are discussed.The Wigner function in these states are studied in detail.     

激发奇偶q相干态的统计性质

构造了激发奇q相干态a+mqα〉oq和激发偶q相干态a+mqα〉eq,并通过数值计算研究了参数q和m对平均光子数、亚泊松特性和反聚束效应等统计性质的影响.结果表明:当q偏离1较远时,二阶q相干函数出现振荡现象,其振幅和周期与m无关;平均光子数和MandelQq参数都随着m的增大而急剧增大;只要不是q→1,亚泊松特性和反聚束效应两者是不等价的.     

Quantum-Chemical Calculations of the Excited Electronic States of the Prodan Molecule and Its Complexes in Water

A quantum-chemical calculation of the prodan molecule and its complexes in water for the geometry of the ground and fluorescent states is carried out. To describe the fluorescent state, changes in the electronic state (population) on bonds and atoms during transition of the molecule into an excited state are taken into account. A model of interaction of the prodan molecule with a polar proton-donor solvent (water) is suggested. It is shown that interaction with the ionic forms (H₃O₊ provides an explanation for the sensitivity of prodan to the solvent (displacement of the fluorescence bands). The nature of the electronic excited states of the prodan molecule and its complexes has been investigated. The constants of the rates of radiative and nonradiative processes and the fluorescence quantum yields have been calculated. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 72, No. 3, pp. 330–334, May–June, 2005.     

铅原子J=2偶宇称Rydberg系列组态相互作用

通过实验获得了碳族原子铅的偶宇称J＝0和2的束缚Rydberg态能级，利用六通道摸型分析了铅原子J＝2的束缚Rydberg系列之间强烈的组态相互作用对电离光谱的影响。     

Nonclassical Properties in Mesoscopic Josephson Junction with Excited Even and Odd Coherent States

Dynamic evolution of a mesoscopic Josephson junction (M J J) interacting with excited even and odd coherent states is studied. It is shown that the supercurrent in MJJ exhibits both collapse and revival (CR) phenomenon and squeezing effect. It is also shown that the CR and squeezing of supercurrent are related to degree of excitation and average photon number.     

Nonclassical Properties in Mesoscopic Josephson Junction with Excited Even and Odd Coherent States

Dynamic evolution of a mesoscopic Josephson junction (MJJ) interacting with excited even and odd coherent states is studied. It is shown that the supercurrent in MJJ exhibits both collapse and revival (CR) phenomenon and squeezing effect. It is also shown that the CR and squeezing of supercurrent are related to degree of excitation and average photon number.     

激发双参数变形奇偶相干态的反聚束效应

通过在双参数变形奇偶qs相干态上重复作用玻色产生算符,构造了激发奇qs相干态aqs+m|α〉qso和激发偶qs相干态aqs+m|α〉qse,并用数值计算研究了参数m,s和q对反聚束效应的影响.结果显示:(1)当r较小时,对于偶qs相干态,激发可使原来强烈的聚束效应变为强烈的反聚束效应;(2)当q(q≤1)偏离1较远时,随着r2的增大,二阶qs相关函数出现振荡现象(即反聚束效应和聚束效应交替出现),其振幅和周期都随s和q的减小而增大,但不明显受m的调节;(3)当q→1时,二阶相关函数同样出现振荡现象,其振幅和周期不但随着s的减小而增大,而且明显地受到参数m的调节;(4)对于大多数r,二阶qs相关函数对s的敏感度大于对q的敏感度.     

Information and Distinguishability of Ensembles of Identical Quantum States

We consider a fixed quantum measurement performed over n identical copies of quantum states. Using a rigorous notion of distinguishability based on Shannon’s 12th theorem, we show that in the case of a single qubit, the number of distinguishable states is , where (α₁,α₂) is the angle interval from which the states are chosen. In the general case of an N-dimensional Hilbert space and an area Ω of the domain on the unit sphere from which the states are chosen, the number of distinguishable states is . The optimal distribution is uniform over the domain in Cartesian coordinates.     

139Ce的多准粒子激发态

利用能量为50MeV的¹²C束流, 通过反应¹³⁰Te(¹²C,3n)布居了¹³⁹Ce的高自旋态. 基于标准在束核谱学实验测量结果, 扩展并更新了¹³⁹Ce的能级纲图. ¹³⁹Ce的能级结构具有球形原子核的典型特征, 其高自旋态由单粒子激发形成. 利用经验壳模型计算了¹³⁹Ce的多准粒子激发态能量, 研究了其高自旋激发态的多准粒子特性.     

激发纠缠相干态的统计性质

将玻色湮灭算符的逆算符作用在纠缠相干态的一个模上得到激发纠缠相干态.该量子态是玻色湮灭算符的偶次幂本征态;由于两个场模间的纠缠,在a模上增加光子不但可以使a模的平均光子数增加,也可以使b模的平均光子数发生变化;当a模上增加光子后,两个场模的亚泊松分布特性和Cauchy-Schwartz不等式的破坏都得到了增强,但模间反关联度反而减弱.     

增光子奇偶相干态的相位特性

借助于Pegg-Barnett相位算符理论和数值计算方法,研究了增光子奇偶相干态的相位概率分布,在此基础之上,讨论了有关数算符和相位算符的压缩特性。结果表明,增光子奇偶相干态的相位概率分布与通常的奇偶相干态、非线性相干态不同,在这种新的奇偶相干态中,其Pegg-Barnett相位概率分布能明显地反映出不同的量子相位信息和干涉特性。同时发现,在参量α的某些不同的取值范围内,增光子奇偶相干态在数算符和相位算符分量上均存在压缩效应。     

偶奇qs相干态的非经典特性

利用数值计算方法研究了ｑ和ｓ畸变对双参数形变偶奇ｑｓ相干态量子统计特性的委现偶奇ｑｓ相干态与通常的偶奇相干态有着显著不同的量子统计性质，压缩效应和反聚束效应均可在一定条件下的两种双参数畸变态中出现，偶奇ｑｓ相干态和通常偶奇相干态的差异随ｑ值偏离１越大和ｓ的取值越小而越大。     

Primary Classification of Quadruply Excited Intrashell States of Atoms

A set of equations are deduced from a consideration of symmetry to pick out states with specific geometric structure. Then the quadruply excited intrashell states are classified according to their geometric feature.     

Classical and Quantum Coherent States

p-Mechanics is a consistent physical theory which describes both quantum and classical mechanics simultaneously (V. V. Kisil, p-Mechanics as a physical theory. An Introduction, E-print:arXiv:quant-ph/0212101, 2002; International Journal of Theoretical Physics 41(1), 63–77, 2002). We continue the development of p-mechanics by introducing the concept of states. The set of coherent states we introduce allows us to evaluate classical observables at any point of phase space and simultaneously to evaluate quantum probability amplitudes. The example of the forced harmonic oscillator is used to demonstrate these concepts.     

纠缠薛定谔猫态的非局域性及其在热库中的演化

利用Bell-CHSH(Clauser-Horne-Shimony-Holt）不等式研究了两种纠缠的光学薛定猫态的量子非定域性及其在真空热库中的演化。计算表明，最大纠缠的薛定谔猫态具有最大非定域性。在真空热库中随着时间的演化，两种纠缠态的量子非定域性逐渐减弱直至消失。     

Bound States in Quantum Electrodynamics: Theory and Application

The basic methods that have been used for describing bound-state quantum electrodynamics are described and critically discussed. These include the external field approximation, the quasi-potential approaches, the effective potential approach, the Bethe–Salpeter method, and the three-dimensional equations of Lepage and other workers. Other methods less frequently used but of some intrinsic interest such as applications of the Duffin–Kemmer equation are also described. A comparison of the strengths and shortcomings of these various approaches is included.     

Generalized Photon Added and Subtracted f-Deformed Displaced Fock States

In this paper, by making use of the nonlinear coherent states approach, the generalized photon added and subtracted f-deformed displaced Fock states are introduced. In other words, a natural link between photon added and subtracted displaced Fock states and nonlinear coherent states associated with nonlinear oscillator algebra is obtained. It is found that various kinds of nonclassical states can be generated by adopting appropriately controlling parameters in both linear and nonlinear regimes. Moreover, examining some of the most nonclassical properties such as Mandel's Q parameter, different types of squeezing, namely, quadrature, amplitude–squared and phase entropic squeezing, and Vogel's characteristic function, the nonclassicality features of the considered quantum states of interest are studied. Furthermore, to obtain the degree of quantum coherence, the relative entropy of coherence is investigated. Indeed, the nonclassicality aspects of the states obtained have been numerically studied to understand the roles of deformation functions, photons added and subtracted, and photon number occupied in the Fock state on physical properties. It is demonstrated that the depth and the domain of the nonclassicality features of the system can properly be controlled by selecting the suitable parameters.