Analyticity of the density of states in the anderson model on the Bethe lattice

Let H=1/2+V on l²(B), whereB is the Bethe lattice andV(x),x B, are i.i.d.r.v.'s with common probability distribution. It is shown that for distributions sufficiently close to the Cauchy distribution, the density of states(E) is analytic in a strip about the real axis.     

How should one define a (weak) crystal?

We compare two proposals for the study of positional long-range order: one in terms of the spectrum of the translation operator, the other in terms of the Fourier spectrum. We point out that only the first one allows for the consideration of molecular, as opposed to atomic, (weakly) periodic structures. We illustrate this point on the Thue-Morse system.     

Derivation of a new class of distributions for the microcanonical ensemble

A new class of distributions for the microcanonical ensemble, which are shown to be stable laws, are derived by applying the central limit theorem to the canonical ensemble. This opens up a whole new host of phenomena that can be treated from a unified thermodynamic point of view. Pressure broadening of line shapes is used as an illustration.1. Work supported, in part, by contributions from the Consiglio Nazionale di Ricerche and the Ministero dell'Università e della Ricerca Scientifica e Tecnologica.2. The interaction parameterC is proportional to the mean square dipole moment. As an order of magnitude of the dipole moment, we can take it as the product of the electric charge and a typical atomic radius for a moderately excited state, which is several times the Bohr radius. Multiplication by the fine structure constant converts the Bohr radius into the Compton wavelength, thereby reducing the magnitude of the interaction by 1/137.     

A renormalization group explanation of numerical observations of analyticity domains

A recent paper considers the dependence of the size of analyticity domains of some functions appearing in KAM theory as a function of the distance to breakdown. They tentatively conclude that the relation is linear. In this note we argue that McKay's renormalization group picture predicts a power-law dependence with an exponent close to 1 but not equal to 1.     

Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors

We study numerically the complex domains of validity for KAM theory in generalized standard mappings. We compare methods based on Padé approximants and methods based on the study of periodic orbits.     

Hypernuclear interactions and multi-Λ matter

Infinite nuclear matter composed of nucleons and hyperons in various mixture ratios is considered with the Skyrme-like phenomenological potentials. Basic characteristics (energy, density, incompressibility, symmetry energy, chemical potentials) are calculated and their link with the potentials properties is studied. Conditions of stability with respect to baryon emission are analyzed and it is shown that neutron-rich systems are preferable for binding the highest possible number of hyperons.     

β-环糊精与环氧氯丙烷共聚物的13C-NMR研究

¹³C NMR测定了一个系列的环氧氧丙烷与β-环糊精的共聚物,进行了谱峰归属和DEPT谱验证,实验测得2,3-丙二醇基在β-环糊精C(2)-O-位、C(3)-O-位和C(6)-O-位取代的¹³C NMR化学位移α-取代效应参数,描述了该共聚物分子链的组成和链化学结构特征.     

利用光泵磁共振曲线测量氢原子密度

本文给出利用光泵磁共振曲线测量氢原子密度的实验.在我们的实验中,当射频源放电功率一定时,在25~61℃的泡温范围内测量到9.2×10¹¹~1.6×10¹¹(原子/厘米³)的氢原子密度.实验结果表明,当放电功率一定时,氢原子密度随泡温升高而下降.     

沿极小势能轨迹从q〉1至q〈1位形演变

本文给出了沿极小势能轨迹从类托卡马克至反场箍缩(RFP)的演变。在反场箍缩条件下可允许用强等离子体电流充分加热等离子体到点火温度,而不需要辅助的中性束或射频加热系统。     

电子直线加速器束流均方根发射度变化方程

本文导出了考虑外场和束流效应后束流均方根发射度平方变化方程的一般表达式,并就仅考虑外场,仅考虑空间电荷场和仅考虑尾场等三种特殊情况进行了分析。