量子耗散与量子输运的级联方程组方法

级联方程已成为研究量子开放系统的稳态性质和动力学过程的重要方法。本文旨在系统综述量子耗散和量子输运的级联方程组方法的建立、发展以及在理论、算法和应用方面的一些最新进展。级联方程形式理论的建立以影响泛函路径积分为基础,并具有数值上的高效性和应用上的灵活性,可用于研究分子体系的复杂动力学过程以及强关联电子体系中的量子输运。其级联耦合结构以非微扰的方式揭示了多体相互作用、体系-环境耦合、非马尔可夫记忆等的综合效应。作为应用示例,我们采用级联方程模拟了生物光富集体系的二维相干动力学光谱以及含时电子输运过程中的动态近藤效应。     

甲酸二聚体中氢转移异构化反应的同位素效应的量子动力学计算（英文）

本文对甲酸二聚体中氢转移异构化反应的同位素效应开展了量子动力学理论研究.使用本课题组发展的高效量子动力学理论方法及构建的全维神经网络从头算势能面,计算了四种氘取代甲酸二聚体的基态和基频隧穿分裂值,结果与现有实验测量值吻合很好.揭示了显著的同位素效应,并发现同位素取代对于隧穿速率的选模激发效应有很大影响,特别是当氧氢键上的氢原子被氘原子取代时影响更大.本研究有助于更好地理解双氢转移过程中的同位素效应.     

耗散对受激拉曼绝热转移过程的影响

应用最近发展的量子耗散理论,研究了耗散对简单三能级体系的受激拉曼绝热转移过程的影响,并与pump-dump过程比较.计算结果表明,受激拉曼绝热转移的机制能很好地抑制中间态的弛豫与涨落的影响.数值结果也表明了新的量子耗散理论可以正确地描述场与耗散相互耦合的动力学问题.     

一维中心势V(q)=Bq2+A/q2(A, B>0)中运动的粒子在量子相空间表示中的解

在Torres-Vega 和 Frederick(T-F)量子相空间理论的框架下, 求解了相空间中一维中心势场V(q)=Bq2+A/q2(A, B>0),中运动的单粒子的本征函数, 并对相空间中的概率密度函数进行了讨论.     

反应N+NH→N2+H的态-态量子动力学研究

采用在MRCI/aug-cc-pVQZ水平上构建的N₂H基态势能面, 并运用Chebyshev实波包法研究了N + NH→N₂ + H反应的量子动力学, 如反应几率、 积分截面以及产物振转态分布等. 在50~500 K温度范围内, 该反应的速率常数随着温度升高而递增, 与基于其它势能面的理论结果吻合. 然而, 在室温条件下, 所有理论计算的速率常数均显著大于实验值.     

转动传能中的量子干涉: 干涉角和相对速度的关系

考虑一级含时波恩近似和长程相互作用势, Sun提出了转动传能中的量子干涉模型.在静态池中CO A1Π～ e 3Σ-和He碰撞的实验已经成功模拟.为了从实验中直接获得碰撞速度和干涉角的关系, Sha提出了利用分子束和离子速度成像技术的实验.作为理论研究干涉角和碰撞速度的关系,计算了不同速度下的干涉角,同时获得了变化的趋势.对在分子束条件下(通过控制碰撞速度来控制干涉角)实验具有指导意义.     

化学反应中散射共振态的理论研究进展

简述了化学反应中散射共振态的发现及研究意义, 介绍了散射共振态的理论方法, 对散射共振态进行了分类并给出不同类型散射共振态的形成机理, 分析了研究现状并对发展趋势作了展望。     

CdS量子点与金电极之间的光生电子交换

对光照下CdS量子点与金电极之间的光生电子交换过程进行了系统研究.首先,对基于电子隧穿的多个光生电子转移过程进行了理论分析,并进行了数学模型推导.其次,利用推导的数学模型在不同参数的条件下进行了仿真研究.最后,测量了CdS量子点修饰的金电极在不同偏置电压、不同光强和不同氧化物及还原物浓度的条件下产生的光电流,并将实验、理论及仿真结果三者相结合进行了分析讨论.实验结果与仿真结果都证明了理论模型的正确性.     

含时密度矩阵重正化群的理论与应用

密度矩阵重正化群(DMRG)作为计算低维强关联体系强有力的方法为人熟知, 在量子化学电子结构计算中得到广泛应用. 最近几年, 含时密度矩阵重正化群(TD-DMRG)的理论取得较快发展, TD-DMRG逐渐成为复杂体系量子动力学理论模拟的重要新兴方法之一. 本文综述了基于矩阵乘积态(MPS) 和矩阵乘积算符(MPO)的DMRG基本理论, 并重点介绍了若干最常见的TD-DMRG时间演化算法, 包括基于演化再压缩(P&C) 的算法、 基于含时变分原理(TDVP)的算法和时间步瞄准(TST)算法; 还对利用TD-DMRG模拟有限温体系的纯化(Purification)算法和最小纠缠典型量子热态(METTS)算法进行了介绍. 最后, 对近年TD-DMRG在复杂体系量子动力学中的应用进行了总结.     

硅量子点合成方法的研究进展

与传统的Ⅱ-Ⅵ族和Ⅲ-Ⅴ族半导体化合物相比,硅量子点性质独特,不仅无毒无害、环境友好,而且储量丰富,可以大量生产,目前已在光电子学、太阳能转换、生物传感器、荧光探针等方面具有广泛的应用.本文作者对液相合成方法、高温气相还原法和热分解法制备硅量子点进行了综述,并对硅量子点在光电器件领域的应用前景进行了展望.     

分子磁性的量子化学研究进展

本文概述了研究分子磁性的量子化学方法和研究进展。首先介绍分子磁性研究中的量子化学原理和所使用计算方法,总结了有代表性的自由基、自由基-金属配合物、桥联多核过渡金属配合物等分子磁性的研究情况,并对今后研究分子磁性的量子化学方法作了展望。     

Some Mathematical and Algorithmic Challenges in the Control of Quantum Dynamics Phenomena

The theory and practice of control over quantum mechanical phenomena is receiving increasing attention, underscored by striking experimental successes. Nevertheless, many questions of fundamental and practical relevance to the field remain unresolved. With the aim of stimulating further development, this paper formulates a number of theoretical questions, divided into three categories. First, questions related to control law design are discussed, with an emphasis on controllability and optimal control theory. This leads to the second category of open problems relevant to closed loop laboratory implementation of quantum control, including learning and feedback methods. The sensitive dependence of control on basic quantum mechanical interactions motivates the third section, which treats coherent dynamical techniques for identifying the system Hamiltonian. An open issue overarching all of these directions is the need to discover general rules for the control of quantum systems. Although the list of issues raised in this paper is extensive, it should be viewed not as a complete menu for exploration, but rather as a springboard to new challenges as the field evolves.     

Generation of Molecular Fields, Quantum Similarity Measures and Related Questions

A straightforward discussion on how to generate molecular fields is developed within the postulates of quantum mechanics. The theoretical formalism points towards the generalization and extension of the well-known molecular field forms, associated to density function and electrostatic molecular potential (EMP), including another category of fields associated to quantum molecular similarity measures. The results show that the new formalism can be easily applied to obtain an unlimited number of new information about molecular behavior.     

Commentaries on quantum similarity (1): Density gradient quantum similarity

Computation of density gradient quantum similarity integrals is analyzed, while comparing such integrals with overlap density quantum similarity measures. Gradient quantum similarity corresponds to another kind of numerical similarity assessment between a pair of molecular frames, which contrarily to the usual up to date quantum similarity definitions are not measures, that is: strictly positive definite integrals. As the density gradient quantum similarity integrals are defined as scalar products of three real functions, they appear to possess a richer structure than the corresponding positive definite density overlap quantum similarity measures, while preserving the overall similarity trends, when the molecular frames are relatively moved in three‐dimensional space. Similarity indices are also studied when simple cases are analyzed in order to perform more comparisons with density overlap quantum similarity. Multiple gradient quantum similarity integrals are also defined. General GTO formulae are given. Numerical results within the atomic shell approximation (ASA) framework are presented as simple examples showing the new performances of the gradient density quantum similarity. Fortran 90 programs illustrating the proposed theoretical development can be downloaded from appropriate websites. © 2010 Wiley Periodicals, Inc. J Comput Chem, 2010     

Theoretical evaluation of sensitivity and thermal stability for high explosives based on quantum chemistry methods: A brief review

Over the past 20 years, a number of scientists have conducted numerous fundamental investigations based on quantum chemistry theory into various mechanistic processes that seems to contribute to the sensitivity of energetic materials. A large number of theoretical methods that have been used to predict their mechanical and spark sensitivity are summarized in this article, in which the advantages and disadvantages of these methods, together with their scope of use are clarified. In addition, the theoretical models for thermal stability of explosives are briefly introduced as a supplement. It has been concluded that the current ability to predict sensitivity is merely based on a series of empirical rules, such as simple oxygen balance, molecular properties, and the ratios of C and H to oxygen for different classes of explosive compounds. These are valid only for organic classes of explosives, though some special models have been proposed for inorganic explosives, such as azides. An exact standard for sensitivity should be established experimentally by some new techniques for both energetic compounds and their mixtures. © 2013 Wiley Periodicals, Inc.     

Aza-Michael Addition in Explicit Solvent: A Relative Energy Gradient–Interacting Quantum Atoms Study

Aza-Michael additions are key reactions in organic synthesis. We investigate, from a theoretical and computational point of view, several examples ranging from weak to strong electrophiles in dimethylsulfoxide treated as explicit solvent. We use the REG-IQA method, which is a quantum topological energy decomposition (Interacting Quantum Atoms, IQA) coupled to a chemical-interpretation calculator (Relative Energy Gradient, REG). We focus on the rate-limiting addition step in order to unravel the different events taking place in this step, and understand the influence of solvent on the reaction, with an eye on predicting the Mayr electrophilicity. For the first time, a link is established between an REG-IQA analysis and experimental values.     

Latin American contributions to quantum chemical topology

We survey the contributions from Latin American theoretical chemists to the field of quantum chemical topology (QCT) over nearly the last 30 years with emphasis on the developments and applications of the quantum theory of atoms in molecules (QTAIM). Applications of QCT in the fields of excited states, electron delocalization, chemical bond, aromaticity, conformational analysis, spectroscopic properties, and chemical reactivity are presented. We also consider the coupling of QTAIM with time-dependent density functional theory, the virial theorem in the Kohn-Sham method and the inclusion of electron dynamical correlation in the interacting quantum atoms method using coupled cluster and multi-configurational densities. Additionally, we describe the development of efficient algorithms for the calculation of topological properties derived from the electron density. This review is aimed not only at providing an account of the contributions to QCT in Latin America but also at stimulating guides for further progress in the field.     

分子间相互作用的量子化学研究方法

分子间相互作用是一类十分重要的作用, 这类作用的实验和理论研究越来越受到化学家、生物学家、材料科学家等的重视。本文综述了这种相互作用的量子化学研究现状和特点, 主要集中于常见的3 种量子化学方法。并对该领域的研究前景作了展望。     

Quantum Chemistry Calculation of Quercetin-silver Complex

1 INTRODUCTION Quercetin(3,5,7,3?,4?-pentahydroxyflavone,see Fig. 1) is a kind of flavonol with many pharma-colo- gical actions, such as anti-flammatory, antiviral and antioxidation[1], but its antioxidation is weak. In re- cent years, it has been reported that quercetin can form metallic complexes by combining with some metal ions like copper ion, zinc ion, nickel and rare earth metals, and its antioxidative activity will be stronger than quercetin due to the existence of co- operative ef…