Further Study of A-Related Quantum Interference of H-State Diatomic on Collision-Induced Rotational Energy Transfer

In our previous theoretical studies [Meng-Tao Sun, Yong-Qing Lee, and Feng-Cai Ma, Chem. Phys.Left. 371 （2003） 342], we have reported the quantum interference on collision-induced rotational energy transfer on CO （A ^1 Π,v = 3） with inert gases, which originates from the difference between the two A-related collision potential energy surfaces. The interference angle, which measures the degree of coherence, is presented in this paper. Based on the time-dependent first order Born approximation, taking into account the anisotropic Lennard-Jones interaction potentials, the relation of the interference angle with the factors, including experimental temperature, partner, and rotational quantum number, are obtained. The changing tendencies with them are discussed. This theoretical model is important to understanding and performing this kind of experiment.     

The differential interference angle in collisional quantum interference on rotational energy transfer

Collisional quantum interference （CQI） in the intramolecular rotational energy transfer was observed in experiment by Sha and co-workers. The interference angle, which measuring the degree of the coherence, were measured in the experiment of the static cell. Based on the first Born approximation of time dependent perturbation theory, taking into accounts the anisotropic Lennard-Jones interaction potentials, this paper describes the theoretical model of CQI in intramolecular rotational energy transfer in an atom-diatom collision system. In the model, the differential interference angle for the experiment of the molecular beam is calculated, the changing tendencies of the differential interference angle with the impact parameter and collision partners are obtained. This theoretical model is important for understanding or performing this kind of experiments.     

Collisional quantum interference on rotational energy transfer： physical interpretation of the differential interference angle

Collisional quantum interference （CQI） on the intramolecular rotational energy transfer is observed in an experiment with a static cell, and the integral interference angles are measured. To obtain more accurate information, an experiment with a molecular beam is carried out, and thereby the relationship between the differential interference angle and the scattering angle is obtained. Based on the first-Born approximation of time-dependent perturbation theory, the theoretical model of CQI is developed in an atom-diatom system in the condition of the molecular beam, with the long-range interaction potential taken into account. The method of measuring correctly the differential interference angle is presented. The tendencies of the differential interference angle changing with the impact parameter and rel- ative velocity are discussed. The theoretical model presented here is important for understanding or performing the experiment in the molecular beam.     

Relationship Between Differential Interference Angle and Parameter of Experiment in Molecular Beam

Collisional quantum interference （CQI） was observed in the intramolecular rotational energy transfer in the experiment of the static cell, and the integral interference angles were measured. To observe more precise information, the experiment in the molecular beam should be taken,from which the relationship between the differential interference angle and the scattering angle can be obtained. In this paper, the theoretical model of CQI is described in an atom-diatom system in the condition of the molecular beam, based on the first-Born approximation of time-dependent perturbation theory, taking into accounts the long-range interaction potential. The method of observing and measuring correctly the differential interference angle is presented. The changing tendency of the differential interference angle with the impact parameter and relative velocity is discussed. The changing tendencies of the differential interference angle with the parameter of experiment in the molecular beam, including the impact parameter and the velocity are discussed. This theoretical model is important to understand or perform the experiment in the molecular beam.     

Interference Angle on Quantum Rotational Energy Transfer in Na＋Na2 （A1 ∑u^＋,v=8-b^3∏0u,v=14） Molecular Collision System

In order to study the collisional quantum interference （CQI） on rotational energy transfer in atom-diatom system, we have studied the relation of the integral interference angle and differential interference angle in Naq-Na2 （A1 ∑u^＋,v=8-b^3∏0u,v=14） collision system. In this paper, based on the first-Born approximation of timedependent perturbation theory and taking into accounts the anisotropic effect of Lennard-Jones interaction potentials, we present a theoretical model of collisional quantum interference in intramolecular rotational energy transfer, and a relationship between differential and integral interference angles.     

The differential interference angle of ^2∏[Case（a）] diatom on rotational energy transfer in NO（X^2∏） collision with He,Ne and Ar system

To study theoretically the relationship between the differential interference angle and the scattering angle in collisional quantum interference （CQI）, we have investigated the differential interference angle of the atom-diatomic [case（a）] molecule system in detail. For the 2∏ electronic state in Hund＇s case （a）, the degree of the differential interference is also discussed. The differential interference angles of NO（X^2∏） are calculated quantitatively for the rotational energy transfer in Hund＇s case （a） induced by collision with He, Ne and Ar atoms. The method to calculate the differential interference angle is presented. Several factors that affect the differential interference angle are investigated. Finally the variation of the differential interference angle with the impact parameter and relative velocity is discussed.     

Collisional Quantum Interference on Rotational Energy Transfer： Relation Between Integral Interference Angle and Rotational Quantum Number in Na2（A^1∑u^＋,ν=8～b^3∏0u,ν=14）-Na System

Collisional quantum interference （CQI） on rotational energy transfer was observed in Na2（A^1∑u^＋,ν=8～b^3∏0u,ν=14） system in collision with Na [Chem. Phys. Lett. 318 （2000） 107], and the degree of the interference was measured. The integral interference angle was obtaJned through theoretical calculation. We will research the factors that have effect on collisional quantum interference on rotational energy transfer in Na2（A^1∑u^＋,ν=8～b^3∏0u,ν=14）-Na system. Basing on the time-dependent first order Born approximation, and taking into account the anlsotroplc Lennard Jones interaction potentials and ＂straight-line＂ trajectory approximation, we obtain the factors that have effect on CQI in Na2-Na system, and obtain the relation between the integral interference angle and rotational quantum number.     

A Conjecture on the Origin of Dark Energy

A conjecture on the origin of the dark energy in our universe is proposed. The analysis indicates that the dark energy may originate from the quantum fluctuations of space-time limited in our universe. Applying both the uncertainty principle and the holographic principle, the author finds that the density of such quantum fluctuation energy is pv = 3c^4/32GL^2H, where LH is the size of the event horizon of our universe and G is the gravitational constant. Using this dark energy model which contains no adjustable parameters, we obtain the current fraction ΩA ≡ ρv/ρc ≈ π/4 and the corresponding equation of state w(z) ≈ -1 (1 - π/4)z with ρc being the critical energy density. These theoretical results are perfectly consistent with the recent cosmological observations. The striking coincidence implies that the quantum fluctuation energy of space-time may be the only source of dark energy. In addition, the analysis shows that the vacuum fluctuation energy does exist, but it comes from spacetime rather than matter. This may have some deep implications for discrete space-time and quantum gravity.     

Effects of collision energy and rotational quantum number on stereodynamics of the reactions:H(~2S)+NH(v=0,j=0,2,5,10)→N(~4S)+H_2

The stereodynamical properties of H(~2S) + NH(v = 0,j = 0,2,5,10)→N(~4S) + H_2 reactions are studied in this paper by using the quasi-classical trajectory(QCT) method with different collision energies on the double many-body expansion(DMBE) potential energy surface(PES)(Poveda L A and Varandas A J C 2005 Phys.Chem.Chem.Phys.7 2867).In a range of collision energy from 2 to 20 kcal/mol,the vibrational rotational quantum numbers of the NH molecules are specifically investigated on v = 0 and j = 0,2,5,10 respectively.The distributions of P(θ_r),P(φ_r),P(θ_r,φ_r),(2π/σ)(dσ_(00)/dω_t)differential cross-section(DCSs) and integral cross-sections(ICSs) are calculated.The ICSs,computed for collision energies from 2 kcal/mol to 20 kcal/mol,for the ground state are in good agreement with the cited data.The results show that the reagent rotational quantum number and initial collision energy both have a significant effect on the distributions of the k-j',the k-k'-j',and the k-k' correlations.In addition,the DCS is found to be susceptible to collision energy,but it is not significantly affected by the rotational excitation of reagent.     

EFFECT OF DIELECTRIC CONSTANT ON THE EXCITON GROUND STATE ENERGY OF CdSe QUANTUM DOTS

The B-spline technique is used in the calculation of the exciton ground state energy based on the effective mass approximation (EMA) model. The exciton is confined in CdSe microspherical crystallites with a finite-height potential wall (dots). In this approach, (a) the wave function is allowed to penetrate to the outside of the dots; (b) the dielectric constants of the quantum dot and the surrounding material are considered to be different; and (c) the dielectric constant of the dots are size-dependent. The exciton energies as functions of radii of the dots in the range 0.5-3.5 nm are calculated and compared with experimental and previous theoretical data. The results show that: (1) The exciton energy is convergent as the radius of the dot becomes very small. (2) A good agreement with the experimental data better than other theoretical results is achieved. (3) The penetration (or leaking) of the wave function and the difference of the dielectric constants in different regions are necessary for correcting the Coulomb interaction energy and reproducing experimental data. (4) The EMA model with B-spline technique can describe the status of excition confined in quantum dot very well.     

光的干涉衍射综合实验仪

根据传统的光的干涉衍射实验装置存在的不足,研制出了光的干涉衍射综合实验仪．将光学元件放置在同一小型光学平台上,按照实验需要组合成相应仪器．该实验仪既可以用于光学演示实验,也可以作为光学专用的实验仪器。     

基于点光源的迈克耳孙干涉实验条纹的机理分析

一般国内的大学物理和大学物理实验教材都只介绍干涉圆条纹和直线干涉条纹,用迈克耳孙干涉仪可以调制出椭圆和双曲线干涉条纹;但对条纹形成的理论推导很少涉及．本文根据点光源双光束干涉理论,分析基于点光源照明的迈克耳孙干涉实验中所产生的各种可能的干涉条纹：双曲线形干涉条纹、圆形干涉纹、椭圆形干涉纹及直线形干涉纹的形成条件．本文也对等倾干涉条纹、等厚干涉条纹与既非等倾也非等厚干涉条纹的机理进行分析和比较．通过对每一种干涉图样的解析分析和比较,旨在对迈克耳孙干涉实验有更全面和更深刻的了解．     

High sensitivity micro-displacement homodyne interferometry北大核心CSCD

Interferometry is widely used in nano-scale micro-topography measurement. In order to improve its accuracy and sensitivity, a high-sensitivity homodyne interferometry based on white light interference and laser secondary interference was proposed. A high-sensitivity homodyne interferometry system was designed, and the zero point of the laser secondary interference was used to locate the dark striation of white light interference, so that it could reach the maximum slope when optical path difference was zero. The signals of white light and laser were analyzed by using the wave principle and intensity formula of interference fringes, and a sensitivity calculation method based on the combination of white light and laser interference signal was proposed. The system and its sensitivity were simulated. Finally, the optical path was built, and the white light interference fringes were adjusted to the dark striations position, so as to locate the zero position of laser secondary interference and carry out the data acquisition. It is showed that the sensitivity of the measurement method is at least 1 832 times higher than that of the laser secondary interference, and the corresponding measurement uncertainty is only ±0.288 7 mV. The measurement system can effectively solve the problem of large amount of calculation in traditional interferometry, and has high sensitivity, stability and reliability. Copyright ©2022 Journal of Applied Optics. All rights reserved.     

原子-双原子分子体系碰撞诱导中的量子干涉效应（第十五届全国原子与分子物理学术会议会议论文）

碰撞转动传能中存在量子干涉效应已经在静态池实验中被观测到,并且积分角也能被测量。但静态池掩盖了大量的实验信息,利用分子束实验可得到转动传能更准确的信息,进而得到影响干涉角的的具体因素。文中运用含时微扰的一级波恩近似理论和各向异性相互作用势,建立了原子-双原子分子（混合态）体系碰撞诱导转动能量传递中的量子干涉效应的理论模型,描述了观察和测量微分干涉角的方法,得到了微分干涉角与碰撞半径和碰撞速度间的关系,同时也得到了实验温度对微分干涉角的影响。此理论模型对于理解和进行分子束实验是非常重要的.     

转动传能量子干涉效应:干涉角影响因素的研究

碰撞转动传能中存在量子干涉效应已经在静态池实验中被观测到,并且积分角也能被测量.利用分子束实验可得到转动传能更准确的信息,进而得到影响干涉角的的具体因素.文中利用一阶含时波恩近似和L-J相互作用势,建立了原子—双原子分子碰撞系统转动传能的量子干涉模型,描述了观察和测量微分干涉角的方法,得到了微分干涉角与碰撞半径和碰撞速度间的关系,同时也得到了积分干涉角和实验温度的关系.此理论模型对于理解和进行分子束实验是非常重要的.     

WSM-100型迈克尔逊干涉仪的研究——扩展光源

本文介绍了干涉条纹的快速调整法     

多个等倾干涉条纹同时形成的理论与实验研究

通常情况下在迈克耳逊干涉仪上只能观察到一个等倾干涉条纹，但是实验中只要调节得当，可以同时观察到4个等倾干涉条纹，而且变化规律相同．本文根据迈克耳逊干涉仪构造原理、等倾干涉条件和菲涅尔公式，对迈克耳逊干涉仪同时形成多个等倾干涉条纹的实验现象进行理论和实验研究．     

原子-双原子分子体系碰撞诱导中的量子干涉效应

碰撞转动传能中存在量子干涉效应已经在静态池实验中被观测到,并且积分角也能被测量.但静态池掩盖了大量的实验信息,利用分子束实验可得到转动传能更准确的信息,进而得到影响干涉角的的具体因素.文中运用含时微扰的一级波恩近似理论和各向异性相互作用势,建立了原子-双原子分子(混合态)体系碰撞诱导转动能量传递中的量子干涉效应的理论模型,描述了观察和测量微分干涉角的方法,得到了微分干涉角与碰撞半径和碰撞速度间的关系,同时也得到了实验温度对微分干涉角的影响.此理论模型对于理解和进行分子束实验是非常重要的.     

光场空间相干性的测量方法及比较

本文归纳了基于分波前干涉原理的具有代表性的干涉测量方法——杨氏双孔干涉法、逆波前杨氏干涉法和非冗余孔径阵列干涉测量法,以及基于分振幅干涉原理的干涉测量方法——自参考干涉测量法;介绍了各种测量方法的工作原理、实验配置;比较了4种测量方法的优缺点,并给出每种方法的最佳应用领域。本文结论可为根据对空间相干性测量的不同要求,选择合适的测量方法提供初步参考。     

磁致伸缩系数的测量

为了避免非平衡电桥法测量磁致伸缩系数出现的漂移现象，本文提出了一种用光学干涉法间接测量磁致伸缩系数的实验方法。