In this note, two Lax representations are presented for the Liouville equation. From each representation one may deduce an infinite family of conserved quantities in involution. However, members coming from different families are not in involution to each other.

Regarding the weak hypercharge y in the standard model as a non-foundamental quantum number and decomposing it as the sum of three kinds of lepton numbers l₁,l₂,l₃, the baryon number b and the weak strange numbers, we obtain an electroweak model with symmetry group SU(2)_L x U (l) l₁ x U(1)l₂ x U (1)1₃, x U(1)_b x U(1)_s, where five neutral weak vector particles arise, with one of them being the same as, Z⁰ in the standard model and the other four being the new Z’s.

A rigorous spectral representation of relativistic random-phase approximation is presented. Explicit expression is derived for the effective particle-hole interaction which contains the direct term K_an, the exchange term K_sc and the kernel for the fermion line renormalization K_fr. It is shown that according to our method, not only K_anan but also K_sc and K_fr can be given rigorously in a form which depends only on one ω(energy)-variable and they all take account of the retardation effect properly.

The wavefunctions with a simple Gaussian form for the α-particle in the light nuclei have been used in some literatures. This note shows that this type of the α-particle wavefunction can not fit the experimental data for electron scattering.

A reflectivity of 45% of the self-pumped phase-conjugate wave in (K_0.5Na_0.5)_0.2 (Sr_0.75Ba_0.25)_0.9Nb₂O₆: Cu crystal at the environmental temperature T~70°C has been obtained. The temperature effect in this kind of self-pumped phase-conjugator is studied.

Two types of the ordered structures associated with the ordering of Sc and Nb cations in the perovskite-type compound Pb₂ScNbO₆ were revealed by electron diffraction, and the 111-type ordering was further confirmed by a special high resolution electron microscopy. The 111-type ordered domains, from a few unit cells to 3nm in size, distribute in the matrix with a disordered structure, and exhibit a characteristic of local ordering.

We extend the diffusion-limited aggregation model of Witten and Sander to the electrochemical deposition system by considering the effects of the external electric field. A jump probability for field-biased-diffusion is reasonably deduced, which enables us to obtain a series of loopless random fractals with varying fractal dimensions.

The Langmuir-Blodgett (LB) films of tetra-lauryl chlor oaluminum phthalocya-nine (TLAlClPc) and a 1:1 mixture of TLAlClPc and stearyl alcohol (SA) were prepared. The Raman spectrum of solid TLAlClPc in KBr pellet was investigated. All the Raman lines were assigned. The surface-enhanced resonance Raman spectra of the LB films deposited on the silver island film that were vacuum-deposited on glass slides have been observed.

The complex configurations and interactions of misfit dislocations in strained GaAs/InGaAs superlattices on GaAs (001) substrates have been studied by transmission electron microscopy under the two-beam or weak beam conditions. The observed interactions between a pair of 60°misfit dislocations and an orthogonal 60°misfit dislocation are theoretically explained.

Depth profiles of fluorine in F-doped tin oxide (FTO) films prepared by atmospherical pressure chemical vapour deposition method have been studied by use of ¹⁹F(p,αγ ) ¹⁶O resonance nuclear reactions near 872.1 keV. A proper convolution method was used to get the real depth profiles of fluorine from the measured γ-ray excitation curves. Secondary ion mass spectrometry in conjunction with Rutherford backscattering spectrometry analysis was used to determine the density of the FTO films. It was found that the density of the films is markedly different from an earlier reported value.

Rapid thermal annealing induced acceptor levels and their annealing behavior in semi-insulating GaAs were investigated using the photoluminescence technique. Results suggest that the introduction of excess of VGa and GaAs, related acceptors might lead to thermal conversion of GaAs wafers.

In this paper the magneto-optical polar Kerr rotation spectra of compositionally modulated films (CMF) Co/Pt are calculated by using Fresnel's equations. For CMF Co/Pt with d_Co/d_pt=1/2, 1 and 2 the magneto-optical Kerr rotation at any wavelength increases with the increasing modulation wavelength in the wavelength region from 200 to 800nm. For CMF Co/Pt of constant d_pt the Kerr rotation increases with d_co increasing while of constant d_co the Kerr rotation increases with d_pt decreasing. From numerical calculations it is suggested that for CMF Co/Pt with small d_pt the Pt sublayer is polarized and has a positive contribution to the Kerr rotation of CMF Co/Pt.

Two-dimensional properties of grain boundaries in germanium bicrystals are studied at liquid helium temperature ranging from 1.6 to 4.2K. The experimental results indicate that the magnetoresistivity for 8°tilt angle increases exponentially with the magnetic field intensity square in weak magnetic field and with the linear magnetic field intensity in strong magnetic field. The phenomena are explainable with the percolation theory.

The retroreflection characteristics of metal surfaces sprayed with different mixture of Si₃N₄ powder and plastic powder were evaluated by an automatic system developed at our laboratory, which normally used to measure the absolute retroreflectance of various surfaces without any reference standard. The preliminary results obtained seem to indicate that the characterization of the retroreflection distribution can be controlled as needed by selecting the sample surface material and/or its mixture. This property may be used in analysis of target signatures.

There exists a local event horizon at the ring singularity in the equatorial plane of the Kerr black hole, whose surface gravity diverges. The Hawking temperature near the ring is infinite if the relation between the temperature and the surface gravity is still valid.