How to Explicitly Calculate Feynman and Wheeler Propagators in the ADS/CFT Correspondence

We discuss, giving all necessary details, the boundary-bulk propagators. We do it for a scalar field, with and without mass, for both the Feynman and the Wheeler cases. Contrary to standard procedure, we do not need here to appeal to any unfounded conjecture (as done by other authors). Emphasize that we do not try to modify standard ADS/CFT procedures, but use them to evaluate the corresponding Feynman and Wheeler propagators. Our present calculations are original in the sense of being the first ones undertaken explicitly using distributions theory (DT). They are carried out in two instances: 1) when the boundary is a Euclidean space and 2) when it is of Minkowskian nature. In this last case we compute also three propagators: Feynman’s, Anti-Feynman’s, and Wheeler’s (half advanced plus half retarded). For an operator corresponding to a scalar field we explicitly obtain, for the first time ever, the two points’ correlations functions in the three instances above mentioned. To repeat, it is not our intention here to improve on ADS/CFT theory but only to employ it for evaluating the corresponding Wheeler’s propagators.

4－导数量子引力的Feynman规则

求出一种４—导数量子引力的Ｆｅｙｎｍａｎ规则和Ｗ—Ｓ恒等式。其中引力子自由传播子和三点顶角与其它文献不同。

相空间中Green函数的生成泛函和Feynman规则

从相空间中Ｇｒｅｅｎ函数的生成泛函出发，对正则动量引入外源，利用最陡下降法，证明了在树图近似下，正规顶角的生成泛函等于正则作用量。勿需作出对正则动量的泛函积分，就可导出树图近似下的Ｆｅｙｎｍａｎ规则，给出了对ψ４场论中的初步应用。

Some Unresolved Issues in Ocean Pipes Aspirating Fluid

This paper reviews the dynamics of ocean pipes aspirating fluid and presents a selective review of the research undertaken on it. It focuses on the equations of motion, fluid-solid interaction at the inlet of the free end of the pipe, the stability mechanism of pipes aspirating steady fluid, etc. In particular, some unresolved or partly resolved issues on these important aspects are discussed. Finally, the promising future development in this area is discussed.

Weyl矢量场的Feynman规则

在弯曲空间中,利用推广的 Faddeev-Popov 理论,实现了对具有定域 Scale 不变性和规范不变性理论的量子化.对加入了定域 Scale 不变性的 GWS 模型,给出了树图近似下 Weyl 矢量场的 Feynman 规则.整个讨论过程具有广义协变性.

Second-order interference of two independent and tunable single-mode continuous-wave lasers

The second-order temporal interference of two independent single-mode continuous-wave lasers is discussed by em- ploying two-photon interference in Feynman＇s path integral theory. It is concluded that whether the second-order temporal interference pattern can or cannot be retrieved via two-photon coincidence counting rate is dependent on the resolution time of the detection system and the frequency difference between these two lasers. Two identical and tunable single-mode continuous-wave diode lasers are employed to verify the predictions. These studies are helpful to understand the physics of two-photon interference with photons of different spectra.

Second-order temporal interference of two independent light beams at an asymmetrical beam splitter

The second-order temporal interference of classical and nonclassical light at an asymmetrical beam splitter is discussed based on two-photon interference in Feynman＇s path integral theory. The visibility of the second-order interference pattern is determined by the properties of the superposed light beams, the ratio between the intensities of these two light beams, and the reflectivity of the asymmetrical beam splitter. Some requirements about the asymmetrical beam splitter have to be satisfied in order to ensure that the visibility of the second-order interference pattern of nonclassical light beams exceeds the classical limit. The visibility of the second-order interference pattern of photons emitted by two independent single-photon sources is independent of the ratio between the intensities. These conclusions are important for the researches and applications in quantum optics and quantum information when an asymmetrical beam splitter is employed.

RLC介观电路的量子化研究

通过正则变换,应用费恩曼路径积分方法,得出了RLC介观电路的严格波函数,并进一步讨论了电路中电荷和广义电流的量子涨落.

费恩曼风格在物理教学中的现实意义

剖析了费恩曼"化繁为简"的科教风格:当处理一个棘手的科学难题或者讲解一个教学难点时,他总是抓住问题的实质,用比喻的手法和生动的语言,进而出人意料地解决了问题.这种风格在当前重视素质与能力的培养以及课时缩短的情况下,非常具有现实意义.

Review of Feynman’s Path Integral in Quantum Statistics:from the Molecular Schrödinger Equation to Kleinert’s Variational Perturbation Theory

Feynman’s path integral reformulates the quantum Schrödinger differential equation to be an integral equation.It has been being widely used to compute internuclear quantum-statistical effects on many-body molecular systems.In this Review,the molecular Schrödinger equation will first be introduced,together with the BornOppenheimer approximation that decouples electronic and internuclear motions.Some effective semiclassical potentials,e.g.,centroid potential,which are all formulated in terms of Feynman’s path integral,will be discussed and compared.These semiclassical potentials can be used to directly calculate the quantum canonical partition function without individual Schrödinger’s energy eigenvalues.As a result,path integrations are conventionally performed with Monte Carlo and molecular dynamics sampling techniques.To complement these techniques,we will examine how Kleinert’s variational perturbation(KP)theory can provide a complete theoretical foundation for developing non-sampling/non-stochastic methods to systematically calculate centroid potential.To enable the powerful KP theory to be practical for many-body molecular systems,we have proposed a new path-integral method:automated integrationfree path-integral(AIF-PI)method.Due to the integration-free and computationally inexpensive characteristics of our AIF-PI method,we have used it to perform ab initio path-integral calculations of kinetic isotope effects on proton-transfer and RNA-related phosphoryl-transfer chemical reactions.The computational procedure of using our AIF-PI method,along with the features of our new centroid path-integral theory at the minimum of the absolute-zero energy(AMAZE),are also highlighted in this review.

Black-Scholes期权定价公式——1997年度Nobel经济学奖获得者Merton和Schdes的学术贡献

系统介绍 1 997年度Nobel经济学奖获得者Merton和Scholes的学术贡献 ,即Black Scholes期权定价公式 ,包括Black&Scholes(1 973)原始论文、五种推导Black Scholes公式的方法和推广与扩展。

费曼式学习法干预模式改善终末期肾脏疾病患者健康素养及生活质量的研究

目的探讨费曼式学习法对提高终末期肾脏疾病(end-stage renal disease,ESRD)患者健康素养水平及生活质量的临床价值。方法选取本科室2018-01/2019-01月在作者科室规律随访的184例ESRD患者,随机分成研究组和对照组,每组各92例。研究组采用在常规护理的基础上融入费曼式学习法为框架制定的护理干预模式,对照组采用常规护理,比较两组患者健康素养水平、自我管理行为及生活质量。结果干预前两组患者的健康素养水平、自我管理行为及生活质量评分无统计学差异(P>0.05);入组后12个月,费曼式学习组的信息获取能力评分(t=-2.052,P=0.042)、沟通与互动能力评分(t=-2.386,P=0.018)、改善健康意愿评分(t=-2.637,P=0.009)、经济支持意愿(t=-4.631,P<0.001)及总体(t=-5.104,P<0.001)均高于对照组;入组后12个月研究组的慢性肾脏病自我管理量表(chronic kidney disease self-efficacy,CKD-SE)评分中自主性(t=-3.367,P=0.001)、自我调节(t=-3.390,P=0.001)、寻求社会支持(t=-2.064,P=0.040)和总体(t=-4.137,P<0.001)均高于对照组;入组后12个月研究组生存质量量表(36 item short from health survey,SF-36)评分躯体功能(t=-4.207,P<0.001)、角色限制(t=-4.692,P<0.001)、躯体不适(t=-2.532,P=0.017)、健康总体自评(t=-2.921,P=0.023)分值均高于对照组(P<0.05)。结论基于费曼式学习法的护理干预模式能提高ESRD患者的健康素养水平、自我管理行为及生活质量,有一定临床价值。