What Is a Quantum Stochastic Differential Equation from the Point of View of Functional Analysis?

We prove that a quantum stochastic differential equation is the interaction representation of the Cauchy problem for the Schrödinger equation with Hamiltonian given by a certain operator restricted by a boundary condition. If the deficiency index of the boundary-value problem is trivial, then the corresponding quantum stochastic differential equation has a unique unitary solution. Therefore, by the deficiency index of a quantum stochastic differential equation we mean the deficiency index of the related symmetric boundary-value problem.In this paper, conditions sufficient for the essential self-adjointness of the symmetric boundary-value problem are obtained. These conditions are closely related to nonexplosion conditions for the pair of master Markov equations that we canonically assign to the quantum stochastic differential equation.     

Strong limit-point classification of singular Hamiltonian expressions

Strong limit-point criteria for singular Hamiltonian differential expressions with complex coefficients are obtained. The main results are extensions of the previous results due to Everitt, Giertz, and Weidmann for scalar differential expressions.

     

缺锌对大鼠所致危害的实验研究

用缺锌饲料饲养Wister大鼠,以N-甲基-N硝基-N亚硝基胍(MNNG)作为致癌剂染毒,观察了缺锌对大鼠的危害。结果显示,实验组动物血清锌降低,脱毛、吃毛,体质量减轻,免疫力下降,前胃黏膜增生,前胃癌发生率显著高于对照;2例实验组大鼠胃腺区发生非典型增生,对照组无此种现象。提示适量锌具有保护胃黏膜、抑制肿瘤发生的作用;缺锌是导致胃癌发生率升高的危险因素。     

加味异功散对脾虚小白鼠全血Zn、Fe的影响

探讨加味异功能健脾补血的生化机理、对脾虚治疗组、脾虚组和对照组小白鼠全血Zn、Fe含量进行动态观测。结果显示，加味异功散明显提高脾虚治疗组小鼠全血Zn、Fe含量。     

锌制剂“维宝康”治疗儿童缺锌综合征的临床研究

用维宝康治疗小儿缺锌综合征９８例,结果表明,服用维宝康一个疗程后,患者临床症状明显改善发锌值升高,总有效率为９６％,未见毒副作用,是较好的补锌制剂。     

铁缺乏症对婴幼儿智能发育的影响

为分析铁缺乏症(IDD)对婴幼儿智能发育的影响，随机抽取了6个月至3岁婴幼儿200例，按有否铁缺乏分组，比较了其与智能的关系。结果表明，铁缺乏症检出率为17．5％，铁缺乏组婴幼儿智能发育商(DQ)明显下降，与正常组比较差异有显著性，铁缺乏程度越重，DQ值越低。可见铁缺乏症对婴幼儿大脑发育造成不良影响，对该症无贫血阶段及轻度缺铁性贫血期(IDA)应予重视。     

硒锌氨基酸治疗儿童锌缺乏症疗效分析

为观察硒锌氨基酸治疗儿童锌缺乏的疗效,将98例锌缺乏儿童随机分为硒锌氨基酸治疗组及对照组,测定治疗前后血锌增加值,并比较治疗效果。结果表明,治疗组血锌平均增加值为(16.37±4.89)μmol/L,对照组为(12.39±5.01)μmol/L,P<0.01,差异有高度显著性;治疗组50例中,显效36例,有效10例,无效4例,对照组48例中显效24例,有效12例,无效12例,χ2=4.12,P<0.05,差异有显著性。可见硒锌氨基酸治疗儿童锌缺乏症取得显著疗效。     

Kinetic energy decomposition scheme based on information theory

We proposed a novel kinetic energy decomposition analysis based on information theory. Since the Hirshfeld partitioning for electron densities can be formulated in terms of Kullback–Leibler information deficiency in information theory, a similar partitioning for kinetic energy densities was newly proposed. The numerical assessments confirm that the current kinetic energy decomposition scheme provides reasonable chemical pictures for ionic and covalent molecules, and can also estimate atomic energies using a correction with viral ratios.     

The enormity of the zinc deficiency problem and available solutions; an overview

The societal cost of micronutrient deficiency (MND) or the “hidden hunger” is in millions of dollars/year, reducing the GDP of some countries by as much as 11%. Zn is an important micronutrient for both plants and animals. An estimated 17% of the world population, or around 1.1 billion people, are at the risk of zinc (Zn) deficiency. The deficiency has been related to adverse pregnancy outcomes, stunted growth, premature deaths, immune system dysfunctions, neuro-behavioral disorders, and recently with the failure to recover from COVID-19. These health risks associated with Zn deficiency have compelled FAO and WHO to recommend Zn fortification of diet. Correcting Zn deficiency is a challenge due to several reasons. Close to half of the agricultural soils are Zn deficient, and chemical Zn fertilizers are costly and ineffective. Developing Zn-rich crops through plant breeding and genetic engineering is challenging. Zn-dense diet is costly and cannot be implemented in the low-income region most affected by Zn deficiency. Lack of consensus among regulatory bodies on defining and diagnosing Zn deficiency in plants and Humans. Awareness and other sociocultural issues. Among the most important available solutions are zinc biofortification of the cereal crops, use of zinc biofertilizers, development of Zn-efficient crops with reduced phytate content. The use of Zn supplements, dietary modification, and diversification, especially with fish, are proposed as the most accessible and affordable solutions. Awareness programs in areas suffering the most from Zn deficiency are required. Despite the suggestions from FAO and WHO, global efforts to combat Zn deficiency matching those for combating diseases like HIV are not in place. Coordinated efforts of the international community, especially policy-makers, agricultural scientists, dieticians, physicians, and others, are required to address the issue of hidden hunger.     

Essential and continuous spectrum of symmetric difference equations

Essential and continuous spectrum of symmetric difference equations have been investigated. It has been shown that the deficiency indices and the existence of these components of the spectrum are determined by the growth conditions of the coefficients. In particular, the deficiency indices are superimposition of those clusters determined by the coefficient growth. Finally, we have proved the neccessary and sufficient conditions for the existence of essential spectrum of selfadjoint subspace extensions using subspace theory and asymtotic summation.