On Diagonal P-Representation of Superposition Field of Two Light Modes

For the superposition field a₁^†+a₂^† of two light modes we introduce an appropriate diagonal P-representation which is constructed on the common eigenvectors |z,x〉of (X₁-X₂) and a₁+a₂, where X_i=(a_i+ a_i^†)/√(2), [a_i,a_i^†] =δ_ij. It is remarkable that |z,x〉make up a new quantum mechanical representation.     

Deformation of Superoperator's Kraus Representation Derived by Weyl Correspondence and Entangled State Representation

By virtue of the Weyl correspondence and based on the the technique of integration within an ordered product of operators, we show under what condition the superoperator's Kraus representation ρ^ˊ=∑_μ A_μρA_μ^† can be deformed as ρ^ˊ=(1/π)∫d²αB(α)D(α)ρD^†(α), where D(α) is the displacement operator, B(α) is a probability density related to the classical Weyl correspondence of A_μ. An alternate discussion by using the entangled state representation and through a quantum teleportation process is also presented.     

Al_2S_n~±(n=2—10)团簇结构特征和稳定性的密度泛函理论研究

采用密度泛函理论的B3LYP方法,在6-311G**水平上对Al2S±n(n=2—10)团簇的几何结构和电子结构进行了理论计算.讨论了铝硫二元离子混合团簇基态结构的变化规律、电荷转移和成键特征.结果表明,在S簇中掺杂Al原子会使Sn结构发生明显改变.Al2S±n团簇基态结构是以Al2S2四元环为骨架或桥梁,分别与S原子或S簇相结合形成单环到三环的平面和立体结构.结构中化学键键型和成键数目影响团簇的稳定性.通过对基态结构的解离能和能量二次差分值的分析得到了Al2S±n团簇的稳定性信息.     

Energy Spectra and g Factors of α-A1203:Cr3+ and α-A1203:Mn4+

By diagonalizing the complete d³ energy matrix in a trigonally distorted cubicfield and using the wavefunctions from it, unified calculations of the whole energy spectrum as well as the g factors of the ground state and t₂^{3 2} E excited states for α-A1₂0₃:Cr³⁺ and α-A1₂0₃:Mn⁴⁺ have been carried out respectively. A11 the calculated results are in very good agreement with the experimental data. The comparison between the results of the two crystals has been made, which demonstrates that the covalency of α-A1₂0₃:Mn⁴⁺ is stronger than the one of α-A1₂0₃:Cr³⁺. For the zero-field splittings of the ground state and t₂^{3 2} E , their physical origins are revealed; the comparison and analysis of their values of the two crystals have been made.     

First-principles Study on the Magnetic,Half-metal and Thermoelectric Transport Properties of Inorganic-Organic Hybrid Compounds [C4N2H12][Fe4Ⅲ(HPO3)2(C2O4)3]

The electronic structure, magnetic and half-metal properties of inorganic-organic hybrid compound [C₄N₂H₁₂][Fe₄^Ⅲ(HPO₃)₂(C₂O₄)₃] are investigated by using the full-potential linearized augmented plane wave (FPLAPW) method within density-functional theory (DFT) calculations. The density of states (DOS), the total energy of the cell and the spontaneous magnetic moment of [C₄N₂H₁₂][Fe₄^Ⅱ(HPO₃)₂(C₂O₄)₃] are calculated. The calculation results reveal that the low-temperature phase of [C₄N₂H₁₂][Fe₄^Ⅲ(HPO₃)₂(C₂O₄)₃] exhibits a stable ferromagnetic (FM) ground state, and we find that this organic compound is a half-metal in FM state. In addition, we have calculated antiferromagnetically coupled interactions, revealing the existence of antiferromagnetic (AFM), which is in agreement with the experiment. We have also found that [C₄N₂H₁₂][Fe₄^Ⅲ(HPO₃)₂(C₂O₄)₃] is a semiconductor in the AFM state with a band gap of about 0.40 eV. Subsequently, the transport properties for potential thermoelectric applications have been studied in detail based on the Boltzmann transport theory.     

One- and Two-Mode Combination Squeezing Operator for Two Harmonic Oscillators with Coordinate-Momentum Coupling

By virtue of the technique of integration within an ordered product of operators, we derive the normal ordering expansion of a one- and two-mode combination squeezing operator for two harmonic oscillators with coordinate- momentum coupling. It turns out that this squeezing operator just diagonalizes the Hamiltonian H=p^21/2m1＋m1ω^21x^21/2＋p^222m2＋m2ω^22x^22/2-λx2p1 so its ground state is a one- and two-mode combination squeezed state. Quantum fluctuation in the ground state is calculated.     

The new pionic hydrogen experiment at PSI

A new high-precision determination of the strong-interaction shift (_1s) and broadening (Γ_1s) of the ground state in pionic hydrogen (πH) has been started at PSI [1]. This constitutes a direct measurement of the πN scattering lengths a⁺ and a⁻ and is an important test of the methods of chiral perturbation theory.     

Phase Diagram of One-Dimensional Bosons in an Array of Local Nonlinear Potentials at Zero Temperature

The Gaussian wave functional method is applied to a boson system with an array of local nonlinear potentials cos[βφ(nR)] to study the phase diagram of its ground state. The stable ground state is determined by the renormalized mass μ which is a function of the parameter γ=β²/4φ, the strength of potential α and the potential concentration c. In different cases γ<γ₁, γ₁<γ<γ₂ and γ>γ₂, μ can have different multiplicities, the phase diagram in parameter space is thus depicted. The value γ=γ₁ depends on the concentration c, for c→0, it coincides with that of the single impurity model; while γ₂=2 coincides with the conclusion of the continuous model.     

A new two-mode thermo- and squeezing-mixed optical field

We propose a new two-mode thermo-and squeezing-mixed optical field, described by the new density operator ρ=1-e~f-|g|~2 e~(ga~+b~+)e~(fa~+a)|0〉 f_(bb) 〈0| e~(g*ab), where |0〉_(bb) 〈0| is the b-mode vacuum, e ~(fa~+a)represents the thermo-field, and e~(ga~+b~+) indicates squeezing. The photon statistics for ρ is studied by virtue of the method of integration within ordered product(IWOP) of operators. Such a field can be generated when a two-mode squeezed state passes through a one-mode dissipation channel.     

用于α和μ常数变化测量的碘离子光谱研究

分子离子I_2~+的禁戒跃迁光谱有可能用于测量α和μ常数的变化,并且具有增强的灵敏度.通过分析I_2~+在11860—13100 cm~(-1)范围内的转动光谱,拟合了A~2Π_(3/2)-X~2Π_(3/2)系统31个振转带的5759根吸收谱线,得到5个属于X~2Π_(3/2)态和9个属于A~2Π_(3/2)态的振动能级准确的转动光谱常数.在量子噪声极限和1 Hz跃迁线宽的条件下,计算得到X~2Π_(3/2)和X~2Π_(1/2)之间的禁戒跃迁对α和μ常数变化测量的灵敏度为δ_(α/α)≈2.37×10~(-19)a~(-1)和δ_(μ/μ)≈1.18×10~(-18)a~(-1).     

掺Er3+碲酸盐玻璃的光谱性质与Judd-Ofelt理论分析

用高温熔融法制备了碲酸盐玻璃(70TeO₂-9B₂O₃-6Nb₂O₅-5Na₂O-10ZnO-1%(质量分数)Er₂O₃)样品。测试了玻璃样品的吸收光谱和荧光光谱。应用Judd-Ofelt理论计算了Er³⁺离子的谱线强度、自发辐射跃迁几率、荧光分支比、辐射寿命等光谱参数,并拟合了相应的强度参数Ω_t(t=2,4,6)(Ω₂=8.01×10^-20cm²,Ω₄=2.09×10^-20cm²,Ω₆=1.15×10^-20cm²)。结果发现该碲酸盐玻璃具有较大的Ω₂值,说明Er—O键的共价性强于它在硅酸盐、锗酸盐、氟化物、铋酸盐和磷酸盐玻璃中的共价性。Er³⁺在碲酸盐玻璃中⁴I_13/2→⁴I_15/2跃迁几率约为492s^-1,表明Er³⁺可能有较强的1.5μm发射。分析了Er³⁺在碲酸盐玻璃中能级⁴I_13/2→⁴I_15/2发射的荧光半峰全宽(FWHM=73nm),并应用McCumber理论计算了Er³⁺的受激发射截面(σ_e=1.08×10^-20cm²),发现其FWHM×σ_e远大于Er³⁺在铋酸盐、磷酸盐、锗酸盐和硅酸盐玻璃中的受激发射截面,说明碲酸盐玻璃是一种制备宽带光纤放大器的优良基质材料。     

A Formula for E2 Transition Rates of the SU(7) Limit of the Fermion Dynamical Symmetry Model

The SO(7) limit of the fermion dynamical symmetry model (FDSM) is discussed. Using the vector coherent state theory (VCST), we construct the matrix elements of quadruple pair (D⁺) and quadrupole (P²) operators explicitly, then obtain a selection rule for E₂ transition and a formula for the E₂ transition rates of the SO(7) limit. As an experimental evidence of the FDSM's SO(7) limit, the B(E₂) values for the Pd-Ru region in this way are calculated,and the predicted results are in good agreement with the experimental data.     

铥原子收敛于4f13(2F7/2o)6s(7/2,1/2)4o和4f13(2F7/2o)6s(7/2,1/2)3o偶宇称里德伯系列能级的电子关联效应

本文在多通道量子亏损理论框架下,利用相对论多通道理论,计算了铥原子收敛于4f¹³（²F_7/2^o）6s（7/2,1/2）₄^o和4f¹³（²F_7/2^o）6s（7/2,1/2）₃^o的三个偶宇称里德伯系列.通过将计算结果与美国国家标准与技术研究院数据进行比较,展示了两种类型的电子关联效应：1）里德伯系列之间的相互作用,导致里德伯系列的能级出现整体偏移;2）一个孤立的干扰态镶嵌在一个里德伯系列中,破坏了该里德伯系列能级的规则性.     

Four-Particle Entangled State Representation and Its Squeezing Transformation

The four-particle EPR entangled state | p,χ₂,χ₃,χ₄〉is constructed. The corresponding quantum mechanical operator with respect to the classical transformation p→e^λ₁p, χ₂→ e^λ₂χ₂, χ₃→e^λ₃χ₃, and χ₄→e^λ₄χ₄ in the state |p,χ₂ ,χ₃ ,χ₄〉is investigated, and the four-mode realization of the SU(1,1) Lie algebra as well as the corresponding squeezing operators are presented.     

用Na2O2-DMSO体系产生O2·的ESR研究

提出了Na₂O₂的二甲基亚砜(DMsO)/H₂O溶液中产生超氧阴离子自由基(O₂^·)的新方法,用电子自旋共振仪(ESR)可直接检测到很强的O₂^·信号,研究了反应的条件及其O₂^·信号的特性,并用该法考察了茶多酚等清除剂对于超氧阴离子自由基的清除作用。结果表明本体系是产生O₂^·的有效方法,可用于超氧阴离子自由基清除剂的研究。     

一价镧离子高n里德伯态

基于五步激光共振激发,经由中间态(Xe) 5d6d~3F_2的一价镧离子光谱,分析了该实验谱,确定了一价镧离子一强一弱两个自电离里德伯系列.同时利用多通道量子亏损理论(MQDT)框架下的相对论多通道理论(RMCT)计算,标识了这两个自电离里德伯系列,强的自电离里德伯系列标识为5dnp(5/2,1/2)_3和/或5dnp(5/2,1/2)_2,弱系列标识为为5dnf(5/2,5/2)_3和/或5dnf(5/2,5/2)_2.根据实验谱峰数据,发现有效量子数很高时,里德伯和自电离里德伯能级量子数亏损随激发能量不平滑变化,并分析了可能的原因.     

氨分子在000和201带的选择光离解

本文利用脉冲紫外激光(UV)选择激发氨分子到?¹A″₂电子激发态的两个最低振动能级ν′₂=0和ν′₂=1(ν₂振动),然后检测新生态H原子的飞行谱(TOF),研究了氨分子的光碎片动力学。光谱证实了最近所测的离解能D₀⁰(H-NH₂)=4.645eV;绝大多数生成的NH₂(X²B₁)基处于非振动激发,但是具有围绕a惯性轴的高度转动激发。通过NH₃(?)的ν′₂=1光离解产生的NH₂(X)基具有较高的内部激发,并且显示了在N=K_a转动能级上的反转布居。 关键词：     

Improved constants for the 7820 Å and 7883 Å bands of CO2

High-dispersion spectra of Venus are used to obtain line positions and band constants for the (105)_I and (105)_II bands of CO₂. An improved method of analysis is used to obtain very accurate results. Assuming B″ = 0.390218 and D″ = 13.3 × 10^-8 for the ground state, we find for 7820: ω₀ = 12774.727 cm^-1 ±0.002, B' = 0.374540 ±0.000006, D' = 10.9 × 10^-8 ±0.4, for 7883: ω₀ = 12672.274 cm^-1 ±0.004, B' = 0.375657 ±0.000014, D' = 17.2 × 10^-8 ±1.7,

The values for ω₀ and B' are at least an order of magnitude more accurate than those given by Herzberg and Herzberg in 1953, and the D' values are new.     

VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING

By incorporating the exact ground state of pure gauge theory and the variational fermion vacuum state,the vacuum structure of 2+1 dimensional SU(2) LGT with fermions is studied.We calculate the fermion condensate <ψψ>,and obtain a good scaling behavior.

     

Schwinger boson mapping of SO(8) fermion model

The Schwinger representation of the SO(8) fermion pair algebra in terms ofd and quasispin vector (u, s, v) bosons is used in deriving a microscopic boson coherent state having both particle-hole and pair excitations. The coherent state is the exact boson image of the HFB variational solution. We can study the shape phase transition and pairing behaviour of the nuclear ground states using the coherent states.