空间和地面条件下斑头雁血红蛋白晶体生长母液的共振拉曼光谱研究

对在宇宙飞船和地面进行斑头雁血红蛋白晶体的生长后保留的母液进行了共振拉曼光谱的比较研究。通过分析两种样品在1240cm-1和1360cm-1附近的共振拉曼信号的细微差别,我们认为空间样品中Fe和N的配位强度平均要比地面样品大,并推测这是由空间微重力环境所致。     

Improved (1s)<Superscript>2</Superscript> variational model for helium

The ground-state energy of neutral helium is estimated variationally with a trial wavefunction of the form ϕ≈e ^−γ(rA/a _o)ⁿe^−γ(rB/a _o)ⁿ. This model represents a modification of traditional textbook examinations of this problem via inclusion of the power “n” as a second nonlinear variational parameter in addition to the usual effective nuclear charge γ and leads to an upper-limit on the ground state energy of −2.86107 E _h (E _h =1 hartree) in comparison with the traditional (n=1) result of −2.84766 E _h . This result represents a reduction of the percentage overestimate from the true ground-state energy (−2.90373 E _h ) of from 1.93 to 1.47. In comparison with the maximum accuracy obtainable from an uncorrelated trial wavefunction, −2.86168 E _h , the present trial wavefunction reduces the percentage overestimate from 0.49 (n=1) to 0.021. The optimum values of (n, γ) are determined to be ≈(0.897, 1.825).     

Current challenges of Geotechnical Mechanics

The milestones in geotechnical mechanics research conducted at the N. S. Polyakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine are listed. Solutions to the deep-mining challenges faced by the institute as a leading research institution in the industry are outlined. The basic results on the subject achieved by the institute over the years of its existence are summarized To the Beginning of the Third Millennium To the 40th Anniversary of the N. S. Polyakov Institute of Geotechnical Mechanics __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 9, pp. 3–15, September 2006.     

Exact ground states of Ising spin glasses: New experimental results with a branch-and-cut algorithm

In this paper we study two-dimensional Ising spin glasses on a grid with nearest neighbor and periodic boundary interactions, based on a Gaussian bond distribution, and an exterior magnetic field. We show how using a technique called branch and cut, the exact ground states of grids of sizes up to 100×100 can be determined in a moderate amount of computation time, and we report on extensive computational tests. With our method we produce results based on more than 20,000 experiments on the properties of spin glasses whose errors depend only on the assumptions on the model and not on the computational process. This feature is a clear advantage of the method over other, more popular ways to compute the ground state, like Monte Carlo simulation including simulated annealing, evolutionary, and genetic algorithms, that provide only approximate ground states with a degree of accuracy that cannot be determineda priori. Our ground-state energy estimation at zero field is –1.317.     

关于核多体系统的基态关联效应

对于一个原子核模型系统在不同耦合强度、不同粒子数情况下的基态关联效应进行了研究,结果表明：当具有稳定的静态形变时,基态关联基本上可用基于静态上的零点振动来解释,因此,关于静态性质的自治场计算是至关重要的. 但在开始发生单极形变的临界点附近,它随控制参量的变化显得很复杂、很敏感. 看来,在滴线附近的轻核的进一步研究中,关联效应是需要注意考虑的.     

A conformai,symmetry broken model for gravity

Starting from Padmanabhan's fully conformally invariant action, we obtain gravity as a spontaneously broken theory. Newton's constant and the cosmological constant follow from the breakdown of the conformal symmetry at the tree approximation. For small oscillation of the scalar field about the fundamental state, the matter field degenerates into two decoupled fields.     

The convergence of the one-dimensional ground states to an infinite lattice

For one-dimensional systems interacting via a two-body potential, the sequence of ground states is proved to converge to an infinite lattice, for a large open class of interactions, containing in particular the Lennard-Jones potential.     

The symmetry of ground states under perturbation

We consider a two-body potential which has only periodic ground states and prove that it can be perturbed, by an arbitrarily small perturbation, so as to have only aperiodic ground states.Research supported in part by NSF grant MCS 78-01520-A01.     

A note on exponential decay properties of ground states for quasilinear elliptic equations

We give an explicit formula for exponential decay properties of ground states for a class of quasilinear elliptic equations in the whole space .