DOES THE CREATION OPERATOR α+ POSSESS EIGNVECTORS?

It is pointed out that the assertion that the eigenfunction of the creation operator a⁺ is identically zero is not rigorous.On the contrary, the eigenfunction of a⁺ may be discussed by using the contour integral representation of δ function, the property of which and the relation with the eigenstate of the annihilation operator are discussed. Its applications, especially the application in thoroughly studying the inverse operator's properties, are presented. It is shown that the phase operator can also be represented by the inverse operator.     

Hermitian Operators Conjugate to Two-Mode Number-Difference Operator Studied in Entangled State Representation

In similar to the derivation of phase angle operator conjugate to the number operator by Arroyo Carrasco-Moya Cessay we deduce the Hermitian phase operators that are conjugate to the two-mode number-difference operator and the three-mode number combination operator. It is shown that these operators are on the same footing in the entangled state representation as the one of Turski in the coherent state representation.     

CHClF2在强红外激光作用下C2*d3Пg态的形成机制

用TEACO₂激光辐照CHCIF₂分子生成电子激发态C₂^*自由基,观察到斯旺带系的六个谱带。本文根据C₂分子态位能曲线的特点,提出C₂^*d³Π_g态的形成机制。C₂是少数较特殊的分子之一,其激发态b³Σ_g^-与第一激发态a关键词：     

Hermitian Operators Conjugate to Two-Mode Number-Difference Operator Studied in Entangled State Representation

In similar to the derivation of phase angle operator conjugate to the number operator by Arroyo Carrasco- Moya Cessay we deduce the Hermitian phase operators that are conjugate to the two-mode number-difference operator and the three-mode number combination operator. It is shown that these operators are on the same footing in the entangled state representation as the one of Turski in the coherent state representation.     

On the Bosonic Phase Operator Realization for Josephson Hamiltonian Model

On the assumption that a Cooper pair acts as a Bose particle and based on the newly estabished (η|representation,which is the common eigenvector of two particles‘ relative position and total momentum,we introduce a mesoscopic Josephson junction Hamiltonian constituted by two-mode Bose phase operator and number-difference operator,The number-difference-phase uncertainty relation can then be set up,which implies the existence of Josephson current.     

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.     

Quantum-resolved angular distributions of neutral products in electron-stimulated processes: desorption of CO from Pt(111)

The first quantum-resolved angular distribution measurements of electronically-excited neutral molecules which have undergone electron stimulated desorption (ESD) are presented. Two-dimensional imaging of laser resonance-enhanced multiphoton ionization (REMPI) is used to obtain angular distributions of CO^* in the v=0 vibrational level of the metastable a³Π_r state desorbed from CO/Pt(111) by 350 eV electrons. For saturation CO coverages at 90 K, sharp Gaussian distributions peaked about the surface normal (6° ± 0.5° half-width at half maximum) are observed, consistent with previously reported data acquired by ESDIAD (ESD ion angular distributions). The (1 + 1) photon REMPI scheme for state-specific CO^* detection involves the b³Σ(v = 0) ← a³Π(v = 0) transition at 283 nm, followed by photoionization at the same wavelength. In this paper, the overall experimental technique for REMPI imaging of products from electron stimulated processes is discussed. Thus specific CO^* data as a function of coverage and temperature is presented for comparison with the ESDIAD results.     

B→a0(1450)ρ(ω) Decays in Perturbative QCD Approach

In the two-quark model supposition for the meson a₀(1450), which can be viewed as either the first excited state (scenario I) or the lowest lying state (scenario II), the branching ratios and the direct CP-violating asymmetries for decays B→ a₀(1450)ρ(ω) are studied by employing the perturbative QCD factorization approach. We find the following results: (a) For the decays B^- → a⁰₀(1450)ρ^- and \bar{B}⁰ → a⁺₀(1450)ρ^-, their branching ratios have large
difference between two scenarios. Although their branching ratios are larger than other considered decay modes, their direct CP-violatingasymmetries in both scenarios are small. (b) For the decays B^-→ a^-₀(1450)ρ⁰ and \bar{B}⁰→ a^-₀(1450)ρ⁺, a⁰₀(1450)ρ⁰, a⁰₀(1450)ω, their branching ratios are close to each other between two scenarios, respectively. (c) Comparing with the decays \bar{B}⁰ →π⁰ρ⁰,π⁰π⁰, the decay \bar{B}⁰→ a⁰₀(1450)ρ⁰ receives a
larger branching ratio in each scenario, which is sensitive to the variation of the Cabibbo-Kobayashi-Maskawa angleα.     

Theoretical study of potential energy curves,spectroscopic constants,and radiative lifetimes of low-lying states in SeO molecule

The low-lying potential energy curves of SeO molecule are computed by means of ab initio multireference configuration interaction technique, taking into account relativistic (scalar plus spin-orbit coupling) effects. The spectroscopic constants of Ω states for X³Σ^-, a¹Δ, b¹Σ⁺, A³Π, A'³Δ, and A"³Σ⁺ states are obtained, and they are in good accordance with available experimental values. The Franck-Condon factors and transition dipole moments to the ground state are computed, and the natural radiative lifetimes of low-lying Ω states are theoretically obtained. Comparisons of the natural lifetimes of Ω states with previous experimental results and those of isovalent TeO molecule are made.     

基于近红外光谱技术的紫外光老化落叶松木材表面材色变化的定性和定量研究

自然光中的紫外光在木材表面产生复杂的光化学反应,是木材在自然环境中老化降解速度最快,反应最强的化学过程。基于近红外光谱(NIRs)技术探讨了落叶松表面材色在340 nm波长紫外光照射条件下的老化状况。不同时间(180,540,900,1 080 h)试材弦切面经紫外光人工老化后,测量木材表面材色色度学指数,并采集NIRs信息。由NIRs二阶导数及其差谱图反映的信息,定性分析和讨论了木材表面化学组分基团的变化;定量建立基于偏最小二乘法(PLS)结合留一交叉验证的木材表面材色预测模型。结果表明：(1) 随着人工老化时间延长,木材表面明度值L*降低,红绿指数a*与黄蓝指数b*出现先增加后缓慢降低的趋势,表明发色基团的形成随着紫外光照射时间的延长而减少,在辐射时间540 h达到最大值,此外,色差值ΔE*与紫外光照射时间成正相关。(2) NIRs二阶导数在6 996,6 773以及6 287 cm-1等分别反映木材中纤维素非结晶区、半结晶区和结晶区的光谱吸光度随着老化时间的延长而增加,而5 986 cm-1反映木质素特征性谱带吸收峰随着紫外光老化时间的延长而降低,表明木质素出现降解。通过紫外光照射1 080 h与对照材的差谱分析发现,纤维素和半纤维素基团的特征峰差谱值为正,表明紫外光辐射后木材表面的纤维素和半纤维素相对含量增加,而木质素基团特征峰差谱值为负,表明经紫外光辐射后,木质素的降解导致其相对含量减少。这些结果与色度值测量结果相一致。(3) 基于NIRs建立的紫外光照射落叶松表面材色预测模型中,L*交叉验证模型决定系数(R2)为0.949,相对分析误差(RPD)为4.42;a*交叉验证模型R2是0.928,RPD是3.73;b*的交叉验证模型R2是0.831,RPD为2.43,建立的材色预测模型满足预测要求。     

Eigenstates of the phase operator à la Dirac for a two-mode field

The eigenstates of the phase operator are calculated for a two-mode radiation field subject to the condition that these be also the eigenstates of the operator corresponding to the difference q of the number of photons in the two modes. The phase distribution associated with such states has the form 1/[1 + F sin² (θ/2)]. In the special case Q = 0, these eigenstates become identical to the two-mode squeezed vacuum.     

Differential cross sections for electron impact excitation of molecular hydrogen using the momentum-space multichannel optical method

In the present work, the momentum-space multichannel optical method is employed in four-state close-coupling calculations to study the electronic excitation of H_2 molecules by electron-impact. Particularly, differential cross sections for the X~1Σ_g~+→ b~3Σ_u~+, X~1Σ_g~+→ aΣ_g~+, and X~1Σ_g~+→ c~3Π_u transitions are reported. Comparison is made with the available experimental and theoretical results.     

On Common Eigenvector of Parametric Interaction Hamiltonian and Number-Difference Operator Derived by Virtue of Entangled State Representation

By virtue of the properties of bipartite entangled state representation we derive the common eigenvector of the parametric Hamiltonian and the two-mode number-difference operator. This eigenvector is superposition of some definite two-mode Foek states with the coefficients being proportional to hypergeometric functions. The Gauss contiguous relation of hypergeometrie functions is used to confirm the formal solution.     

Recapitulating Quantum Phase Space Representation by Virtue of Normally Ordered Gaussian Form of Wigner Operator

Using the normally ordered Gaussian form of the Wigner operator we recapitulate the quantum phase space representation, we derive a new formula for searching for the classical correspondence of quantum mechanical operators; we also show that if there exists the eigenvector ｜q〉λ,v of linear combination of the coordinate and momentum operator, （λQ ＋ vP）, where λ,v are real numbers, and ｜q〉λv is complete, then the projector ｜q〉λ,vλ,v〈q｜ must be the Radon transform of Wigner operator. This approach seems concise and physical appealing.     

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.     

Theoretical study of spin-forbidden cooling transitions of indium hydride using ab initio methods

The feasibility of spin-forbidden cooling of the In H molecule is investigated based on ab initio quantum chemistry calculations. The potential energy curves for the X~1Σ_(0~+)~+, a~3Π_~(0~-), a~3Π_(0~+), a~3Π_1, a~3Π_2, A~1Π_1, 1~3Σ_(0~-)~+, and 1~3Σ_1~+states of In H are obtained based on multi-reference configuration interaction plus the Davidson corrections method. The calculated spectroscopic constants are in good agreement with the available experimental data. In addition, the influences of the active space and spin–orbit coupling effects on the potential energy curves and spectroscopic constants are also studied. For Re of a~3Π_(0~-), a~3Π_(0~+), a~3Π_1, and a~3Π_2 states, the error from large active space is small. The potential energy curve of the A~1Π_1state is not smooth for small active space. The spin–orbit coupling effects have great influences on the potential well depth and equilibrium internuclear distance of the A~1Π state. The Franck–Condon factors and radiative lifetimes are obtained on the basis of the transition dipole moments of the a~3Π_(0~+) → X~1Σ_(0~+)~+, a~3Π_1 → X~1Σ_(0~+)~+, and A~1Π_1 → X~1Σ_(0~+)~+ transitions. Our calculation indicates that the a~3Π_1( ν'= 0) → X~1Σ_(0~+)~+(ν = 0) transition provides a highly diagonally distributed Franck–Condon factor and a short radiative lifetime for the a3Π1 state, which can ensure rapid and efficient laser cooling of In H.The proposed laser drives a~3Π_1 → X~1Σ_(0~+)~+ transitions by using three wavelengths.     

Wigner function for the generalized excited pair coherent state

This paper introduces the generalized excited pair coherent state （GEPCS）. Using the entangled state 〈η〉 representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the ρ-γ phase space, the variations of the Wigner function distributions with the parameters q, α, k and l are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the Wigner operator and the projection operator of the entangled state ｜η1, η2, τ1, τ2｜. The entangled states ｜η〉 and ｜η1, η2, τ1, τ2〉 provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states.     

二项-负二项组合光场态的光子统计性质及其在量子扩散通道中的生成

在组合二项-负二项分布的基础上, 提出了二项-负二项组合光场态, 这种态能在Fock态历经量子扩散通道的过程中实现. 导出了此光场的二阶相干度公式, g⁽²⁾(t) =2-((m²+m)/(m+κt²)), 发现随着时间的推移光场从非经典Fock态变为经典态, 光子数m 经扩散通道后变成了 m+κt, κ是扩散常数, 相应的光子统计从亚泊松分布历经泊松分布再变成混沌光; 初始Fock态的光子数越多, 则扩散所需的时间越长.     

Two-Mode Wigner Operator in 〈ξ| Representation and 〈τ| Representation

We derive the two-mode Wigner operator in the 〈ξ| representation and 〈τ| representation, where |ξ〉 is common eigenvector of the mass-weighted relative coordinate and the mass-combinatorial momentum.and |τ〉 common eigenvector of the mass-weighted relative coordinate and the mass-combinatorial momentum. As an application,we calculate the Wigner function of some two-mode state.     

Continuum variable entangled state generated by an asymmetric beam splitter

For an asymmetric beam-splitter a new kind of entangled state is introduced, we then derive the integration measure with which such states can make up a complete and orthonormal representation in two-mode Fock space. We then show how to use in finding new squeezing operator and new squeezed state, whose generation can relies on the asymmetric beamsplitter.