为什么可用l（l＋1）代替l~2

为什么可用ｌ（ｌ＋１）代替ｌ￣２Ｐ．Ｗ．Ｍｉｌｏｎｎｉ在量子力学中为什么可以用ι（ι１）代替ι￣２？这里ι是角动量量子数．在一些导论性的教科书中这个特别的结果是作为一种特殊的量子力学效应提出的，即空间量子化（问题的确如此）．但似乎没有很容易的方法理解...     

Examining the Chiral Geometry in l04Rh and l06Rh

The criteria for chiral doublet bands based on one particle and one hole coupled to a triaxial rotor have been summarized. Two representative cases in A - 100 odd-odd nuclei, nearly degenerate △I = 1 doublet bands in 104Rh and 106Rh, are checked against these chiral criteria. It is shown that 106Rh possesses better chiral geometry than 104Rh, although the energy near degeneracy is achieved in 104Rh in comparison with the constant energy separation of doublet bands in 106Rh.     

TheK S 0 →π0 l + l − andK L 0 →π0 l + l − decays in the standard model and the extended Nambu-Jona-Lasinio model

TheK _S ^{0 0} l ⁺ l ^– andK _L ^{0 0} l ⁺ l ^– decays are considered within the framework of the Standard model in the one-photon exchange approximation, i.e.K _S,L ^{0 0}+ *⁰ +l ⁺ l ^–. To evaluate the low-energy matrix elements of theK ⁰(¯K ⁰)⁰+ * transitions, the constituentquark-loop approximation, based on the extended Nambu-Jona-Lasino (NJL) model, is used. The obtained results are compared with other theoretical estimates and the experimental bounds.     

Poincaré, Einstein,et l’inertie de l’énergie

The mystery surrounding the discovery of the inertia of energy is solved by considering its connection with an older problem: the effect of uniform, global motion on the forces acting in an electric System. From Maxwell's and his disciples’ point of view this effect confirmed the existence of the ether. From Poincaré’ s point of view, it was paradoxical for it contradicted the relativity principle and went with a violation of the principle of reaction. The inertia of energy, as Einstein proposed it in 1905, answered these paradoxes in the framework of special relativity and in Poincaré’s style of reasoning.     

The （l＋l）-dimensional spatial solitons in media with weak nonlinear nonlocality

We study the propagation of (1+1)-dimensional spatial soliton in a nonlocal Kerr-type medium with weak nonlocality. First, we show that an equation for describing the soliton propagation in weak nonlocality is a nonlinear Schr?dinger equation with perturbation terms. Then, an approximate analytical solution of the equation is found by the perturbation method. We also find some interesting properties of the intensity profiles of the soliton.     

KL,S → l+l− decays in the quark model of superconductivity type

The probabilities of K_L,S l⁺l^– decays are calculated by considering only the dominant two-lepton channel K_L,S ^{* *} l⁺l^–. The transitions K⁰ X, where X=⁰,, or (700) dominating in the K_L,S ^{* *}decay amplitudes, are described by the effective weak Lagrangian. The matrix elements of four-quark operators are calculated within the framework of the quark model of superconductivity type. It is shown that the leading contribution to matrix elements of K⁰ X transitions comes from the penguin operator matrix elements.     

Nonfactorization and the decaysD s +→φπ +,φρ + andφl + ν l

Using the experimentally measured values ofx=A ₂(0)/A ₁(0) andy=V(0)/A ₁(0) and the measured ratiosR _st=Γ(D _s ⁺ →φl ⁺ ν _l)/Γ(D _ins ⁺ →φπ ⁺) andR _h=Γ(D _s ⁺ →φρ ⁺)/Γ(D _s ⁺ →φπ ⁺), we present evidence for significant nonfactorization contribution in the decay amplitude forD _s ⁺ →φπ ⁺. We analyze the role of nonfactorization inD _s ⁺ →φρ ⁺ and conclude that present data onR _h are consistent with factorization inD _s ⁺ →φρ ⁺. A measurement of polarization inD _s ⁺ →φρ ⁺ would greatly assist our analysis.     

Theoretical calculation of atomic spectrum for 1s23l4l′ states of beryllium-like ions

Using the saddle-point variation and saddle-point complex-rotation methods, energies, radiative, and Auger rates are calculated for the doubly-excited states 1s²3l4l′ of beryllium-like ions. The total wave function is expanded by the restricted variation method to saturate the functional space and improve the nonrelativistic energy. Relativistic corrections and mass polarization effects are taken into account by the first-order perturbation theory. The partial Auger rates for these states are studied. The calculated Auger electron energies are compared with the experimental results which are observed in high resolution electron spectroscopy. The total radiative rates and the total Auger rates for these doubly-excited states 1s²3l4l′ in the beryllium-like ions are also analyzed along with the increase of atomic number Z. Calculated results show that the total Auger rates are several orders of magnitude larger than the total radiative rates for these low-Z systems.     

Exact Treatment of l≠0 States

Using the basic ingredient of supersymmetry, we present a general procedure for the treatment of quantum states having nonzero angular momenta.     

Complex networks from lévy noise

We construct complex networks from lévy noise (LN) using visibility algorithm proposed by Lucas lacasa el al. It is found that as the stability index α of the symmetric LN decreases, the corresponding complex network will transit from exponential network to long-tailed-degree-distribution one, and then to Gaussian one. The associated network for symmetric LN is the high clustering, hierarchy, and 18 community network. The properties of the associated networks for asymmetric LN except the skewness parameter β = −1 are similar with that for symmetric one. The associated network for the asymmetric LN with the skewness parameter β = −1 is always the exponential, high clustering, and hierarchy one with small k-clique communities.     

A l15-W Ytterbium-Doped Fibre Laser

We report a highly efficient ytterbium-doped double-clad fibre laser, one-end pumped by a 975-nm diode stacksource and generating up to 115.6 W of cw output power at 1.1 μm. The maximum optical-to-optical conversionefficiency with respect to the launched pump power is 79% at 65-W output power, and the overall slope efficiencyis about 69%.     

Variable separation solutions and new solitary wave structures to the （l＋l）-dimensional Ito system

A variable separation approach is proposed and extended to the (1+1)-dimensional physics system. The variable separation solution of (1+1)-dimensional Ito system is obtained. Some special types of solutions such as non-propagating solitary wave solution, propagating solitary wave solution and looped soliton solution are found by selecting the arbitrary function appropriately.     

Sur le pouvoir thermoélectrique de l’alliage Cu3Au en fonction de l’ordre

The thermoelectric power of Cu₃Au alloy is calculated as a function of the order with the hypothesis of free electrons, assuming that the Brillouin zones do not change at the critical point. By assuming a square-well scattering potential it is found that the thermoelectric power decreases with increasing temperature and exhibits a discontinuity at the critical point.     

Fluctuations in a lévy flight gas

We consider the density fluctuations of an ideal Brownian gas of particles performing Lévy flìghts characterized by the indexf. We find that the fluctuations scale as N(t) t^H, where the Hurst exponentH locks onto the universal value 1/4 for Lévy flights with a finite root-mean-square range (f>2). For Lévy flights with a finite mean range but infinite root-mean-square range (1相似文献   

CoⅩⅧ离子2s~22p~53l2s2p~63l、2s~22p~54l组态的能级及跃迁波长计算

本文用相对论多组态Dirac-Fock广义平均能级(MCDF-EAL)模型,计算了可能形成超真空紫外区相干辐射的类氖等离子体激光工作物质的CoXVⅢ离子2s~22p~53l、2s2p~63l、2s~22p~54l组态精细结构能级的能量值,以及3l、4l-2p~6(~1S_0)、3l-3l＇、3l-4l＇、4l-4l＇多重态之间的跃迁波长值。3l、4l-2p~6(~1S_0)跃迁波长计算值与已知观测值符合相当好。