U(N) SP(N) O(3)的分支律

利用群的直乘分解公式,考虑U(N)群的[2a1b]表示按群链U(N)SP(N)O(3)的约化规则,给出了相应的比较简单的分支律递推公式.该公式在用计算机计算分支律时,不受秩和表示维数的限制.为求解这类问题的分支律提供了一种比较简单的算法.在简化同位旋1/2的单j费米子体系的母分系数计算中具有十分重要的意义.用同样的方法也可以求出群链U(N)O(N)O(3)的分支律.     

PS~(-1) Optical Interconnection of 2N×2N Using N×N Holographic Lens Array

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SU(2,2¦N) · 〈N′〉 superunified theory

We establish a superspaceU for supergauge actions, a conformal supergroupSU(2,2¦N), and a conformal extendedSU(2,2¦N) supergravity theory. Using the Lagrangian Higgs evolution mechanism under the supergroupSU(2,2¦N) SU(N) acting on the superspaceU, we advance anSU(2,2¦N)SUN superunified theory of a superunited system, discuss the Lagrangian evolution of the superunified theory, and give the fiber bundle geometry of all the above mechanisms.     

The N*(1710) as a resonance in the ππN system

We study the ππN system by solving the Faddeev equations, for which the input two-body t-matrices are obtained by solving the Bethe-Salpeter equation in the coupled-channel formalism. The potentials for the ππ, πN sub-systems and their coupled channels are obtained from chiral Lagrangians, which have been earlier used to study resonances in these systems successfully. In this work, we find a resonance in the ππN system with a mass of 1704 ? i375/2MeV and with quantum numbers I = 1/2, J ^π = 1/2⁺. We identify this state with the N ^*(1710). This peak is found where the energies of the ππ sub-system fall in the region of the σ-resonance. We do not find evidence for the Roper resonance in our study indicating a more complex structure for this resonance, nor for any state with total isospin I = 3/2 or 5/2.     

Structure of Ti N (N = 6–15) titanium cluster isomers

The atomic structures of various isomers of free Ti _N (N = 6–15) titanium clusters have been studied by molecular dynamics using the many-body interaction potential in the tight binding model. The following parameters of the cluster structure have been calculated: average bond length and energy, coordination number, and frequencies (probabilities) of their appearance. An increase in the cluster size N is accompanied by increased values of these parameters. It is established that the frequency of appearance of an isomer with a given N value increases with the bond energy. The most probable structures of clusters with N = 10–15 correspond to maximum values of the atomic structure parameters among all isomers of a given size.     

Al(N3)3和P(N3)3结构与性质的理论研究

在B3LYP/6-311++G(3df)理论水平,对二元叠氮化合物Al(N3)3和P(N3)3进行密度泛函理论计算研究,获得其稳定分子的几何构型、电子结构、红外光谱以及稳定性。研究结果表明,P(N3)3分子中的磷原子拥有一对孤对电子,给予临近氮原子(Nα)上的孤对电子较大斥力,从而使其表现出三角锥形结构特征,而Al(N3)3表现为平面三角形结构特征。自然键轨道分析表明,Al–Nα和P–Nα键本质上均属于共价键。与叠氮自由基相比较而言,Al(N3)3和P(N3)3的每个叠氮基内部的总成键度显著增大,从而导致N3基的振动频率发生明显蓝移。前线分子轨道能级差和叠氮自由基键离解能的计算结果均表明Al(N3)3比P(N3)3更稳定。     

Verhältnis des differentiellen (e,N)- zum totalen (γ,N)-Wirkungsquerschnitt

The ratio of the differential cross section for the (e, N)-process to the total (γ,N) -cross section is derived with the use of the relativistic Coulomb Eigenfunctions for the continuous spectrum. For electric and magnetic dipole transitions the Born approximation, the Coulomb correction, the effect of screening and that of finite nuclear size are calculated. In this angular distribution there should be no interference of electron waves scattered by different multipoles, where the inelastically scattered electrons are detected. Numerical calculations have been done for nuclei withZ=6, 29, and 82 and scattering anglesθ=1Ω, 132Ω, 160Ω and 180Ω of the electron. The result of this theory is compared with the experiments of W.C.Barber et al.     

Al(N3)3和P(N3)3结构与性质的理论研究

在B3LYP/6-311++G(3df)理论水平,对二元叠氮化合物Al(N3)3和P(N3)3进行密度泛函理论计算研究,获得其稳定分子的几何构型、电子结构、红外光谱以及稳定性.研究结果表明,P(N3)3分子中的磷原子拥有一对孤对电子,给予临近氮原子(Nα)上的孤对电子较大斥力,从而使其表现出三角锥形结构特征,而Al(N3)3表现为平面三角形结构特征.自然键轨道分析表明,Al-Nα和P-Nα键本质上均属于共价键.与叠氮自由基相比较而言,Al(N3)3和P(N3)3的每个叠氮基内部的总成键度显著增大,从而导致N3基的振动频率发生明显蓝移.前线分子轨道能级差和叠氮自由基键离解能的计算结果均表明Al(N3)3比P(N3)3更稳定.     

同位素~(15)N光电光谱分析

氮在自然界中有两种稳定性同位素,~(14)N(99.635%)和~(15)N(0.365%)。由于同位素~(15)N具有非放射性的特点,已被广泛用作标记原子,进行农业、土壤、生物、医学等过程研究。在各种同位素~(15)N分析方法中,光谱法由于仪器简单,操作方便,灵敏度和准确度较高,已成为一种广泛应用的重要方法,并生产了专门分析仪器。     

Electric field-induced hole injection-enhanced photoluminescence in a N,N’-bis(3-methylphenyl)-N,N’-bis(phenyl)-benzidine-based emitter

Non-monotonic, asymmetrical electric field dependence of photoluminescence （PL） intensity is observed in a mono- layer sample of tris-（8-hydroxyquinoline） aluminum （A1Q） doped N,N＇-bis（3-methylphenyl）-N,N＇-bis（phenyl）-benzidine （TPD）. A possible model is proposed： the charge separation from the dissociated photoexcited excitons causes energy band bending in the organic films and improves the hole injection from the electrode, which brings about the extra fluorescence. This mechanism is further verified by a series of experiments using a series of samples, variously featuring symmetrical electrodes, block layers, and hosts with lower hole mobilities.     

Lattice model for the SU(N) Néel to valence-bond solid quantum phase transition at large N

We generalize the SU(N=2) S=1/2 square-lattice quantum magnet with nearest-neighbor antiferromagnetic coupling (J(1)) and next-nearest-neighbor ferromagnetic coupling (J(2)) to arbitrary N. For all N>4, the ground state has valence-bond-solid order for J(2)=0 and Néel order for J(2)/J(1)?1, allowing us access to the transition between these types of states for large N. Using quantum Monte Carlo simulations, we show that both order parameters vanish at a single quantum-critical point, whose universal exponents for large enough N (here up to N=12) approach the values obtained in a 1/N expansion of the noncompact CP(N-1) field theory. These results lend strong support to the deconfined quantum-criticality theory of the Néel-valence-bond-solid transition.     

Convex effective potential of O(N)-symmetricø4 theory for large N

We obtain an effective potential of the O(N)-symmetric ø⁴ theory for large N starting with a finite lattice system and taking the thermodynamic limit with great care. In the thermodynamic limit, it is globally real-valued and convex in both the symmetric and the broken phases. In particular, it has a flat bottom in the broken phase. Taking the continuum limit, we discuss renormalization effects to the flat bottom and exhibit the effective potential of the continuum theory in three and four dimensions. On the other hand, the effective potential is nonconvex in a finite lattice system. Our numerical study shows that the barrier height of the effective potential flattens as a linear size of the system becomes large. It decreases obeying a power law and the exponent is about −2. The result is clearly understood from the dominance of configurations with a slowly-rotating field in one direction.     

Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets

The two-dimensional SU(N) quantum antiferromagnet, a generalization of the quantum Heisenberg model, is investigated by quantum Monte Carlo simulations. The ground state for Nor=5 with broken lattice translational invariance. Our computation of the magnetization and the dimerization order parameter shows the absence of the intermediate spin-liquid phase.     

Exciton–phonon interaction in Al_(0.4)Ga_(0.6)N/Al_(0.53)Ga_(0.47)N multiple quantum wells

The exciton-phonon interaction in Al_(0.4)Ga_(0.6)N/Al_(0.53)Ga_(0.47)N multiple quantum wells(MQWs) is studied by deepultraviolet time-integrated and time-resolved photoluminescence(PL).Up to four longitudinal-optical(LO) phonon replicas of exciton recombination are observed,indicating the strong coupling of excitons with LO phonons in the MQWs.Moreover,the exciton-phonon coupling strength in the MQWs is quantified by the Huang-Rhys factor,and it keeps almost constant in a temperature range from 10 K to 120 K.This result can be explained in terms of effects of fluctuations in the well thickness in the MQWs and the temperature on the exciton-phonon interaction.     

The Polarized Infrared Spectrum of Single Crystals of N,N′ -Ethylenebis(acetylacetoneiminato)-copper(II) Hemihydrate

In a previous paper¹ the infrared spectra of some chelates of the type N,N′-ethylenebis(acetylacetoneiminato)-metal(II) were reported and the vibrational assignments were made on a correlative basis and with the aid of the results of a normal coordinate treatment. In order to provide further data for a more reliable assignment of the vibrational spectra of this class of metal chelates an investigation was carried out on the infrared pleochroism of the single crystals of N,N′-ethylenebis(acetylacetoneiminato)-copper(II) (CuBae.1/2H₂0 in the following).     

Modulation of charge transfer rate in (N,N′-dimethylamino)benzonitrile liquid solutions

We studied the properties of the emission, absorption and excitation of dual fluorescence of (N,N′?dimethylamino)benzonitrile in a polar aprotic solvent acetonitrile under selective irradiation of solutions by light with different energies of quanta to elucidate mechanisms of dual fluorescence arising in this solvent at different temperatures in the range 274–313 K. In all cases, dual fluorescence of the solute in acetonitrile was observed, which is caused by emission from locally excited Franck-Condon and charge-transfer states. A change in the energy of excitation quanta has a weak effect on the position of the fluorescence bands; however, the intensity ratio between the bands noticeably changes in favour of the intensity of the long-wavelength band at excitation in the range of the long-wavelength absorption band. An interesting and unusual fact is that solution heating is accompanied by essential growth of quantum yield of dual fluorescence at all wavelengths of the excitation. To explain the observed effects, the same dependences were measured and analysed for DMABN in neutral solvent n-hexane in the same conditions. We involve also the data of quantum-mechanical calculations, which show that there is a considerable probability of occurrence in solutions of DMABN rotational isomers with differing orientation of the dimethylamino group with respect to the benzonitrile. In the excited state, these have different charge-transfer rates, resulting in a modulation in the intensity ratio of the observed fluorescence bands with change excitation energy quanta on the red wing of the absorption band, doi: 10.1134/S0030400X12050219.     

Phase structure of O(N)-symmetric φ63 models at small and intermediate N

To test on the occurrence of the non-trivial BMB fixed point we study the phase diagram of O(N)-symmetric φ⁶₃ models in the limit of infinite φ⁶-coupling. Our Monte Carlo results for N = 5, 10 and 30 confirm that the so-called BMB phenomenon could be a large-N effect.     

On the electronic structure of N,N′-ethylenebis(acetylacetonatiminato)Co(II), Co(II)acacen

Single crystal E.P.R. and cobalt ENDOR measurements on N,N′-ethylenebis(acetylacetonatiminato)Co(II), Coacacen, diluted in Niacacen·1/2 H₂O are reported. Forbidden Δm _Co = 1,2 transitions in the E.P.R. spectra have been observed. The g-tensor (E.P.R.) and the cobalt hyperfine and quadrupole tensors (ENDOR) have been determined. The g- and cobalt hyperfine tensors are discussed. They support the |² A ₂,yz? groundstate proposed for four coordinated low-spin Schiff base complexes of cobalt(II). The measured quadrupole coupling is also compatible with a |² A ₂,yz? groundstate, if anisotropic contraction of the cobalt 3d orbitals is taken into consideration.