CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD

The gravitational field is quantized within the canonical formalism under theharmonic gauge condition.The gravitational field is decomposed into transversalfields and self-commuting fields.The equation of motion of the self-commuting field X_μ is derived,and the contributions of self-commuting fields to physical S-matrixelements are investigated.Then the gauge compensating term of the effective actionis obtained.The result is in agreement with that obtained by the path integral method,but with our method the difficulty of the Gribov gauge ambiguity can be overcome.     

CANONICAL QUANTIZATION OF GAUGE FIELDS(Ⅱ)——SPONTANEOUSLY BROKEN GAUGE FIELDS

In R_ξ gauges a SU（2）spontaneonly broken gauge theory is qnantized within the canonical formalism,and the gauge compensating term is derived.     

THE AVERAGE FIELD OF THE ISOBAR △(1232) IN NUCLEI

The one boson exchange nuclear force is applied to the discussion of the nucleon-△ interaction. The coupling constant is determined by the straton model. Assuming that the wave function is unaltered by the presence of △, we are able to obtain the average field of the isobar in the nuclei approximately. The qualitative feature obtained is that the average field of △ is shallower then that of nueleon by an amount of～15 MeV.     

STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF SU(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT

It is shown that the statical spherosymmetrical sourceless solutions of SU(2) guagefield,which satisfy a physical boundary condition,must be selfdual.Then from theselfdual condition,we solve the equation explicitily,hence show the uniqueness analy-tically.By gauge transforming the Lagrangian by a local generator of synchrono-symmetry,we get a corresponding local charge current density,which is both gaugeinvariant and conserved.The total values of either electric or magnetic charge arequantized,but the charge distributions in space are continuous and not restrictedby quantization.Finally we discuss a mechanism of spontaneous symmetry break-down.Contrary to ordinary magnetic flux string,now the ordered phase is surround-ed by the normal phase,the ordered phase repels electric fields,and electric fieldsdestory the ordered phase.     

ON THE BOUNDARY CONDITION AND CANONICAL S-WAVE HAMILTIONIAN FOR THE DYON-FERMION SYSTEM——THE SURFACE LAGRANGIAN AND GAUGE INVARIANT CHARGE CURRENT

By means of the surface Lagrangian and gauge invariant charge current, we make a detailed discussion to the physical meaning of each quantity in the boundary condition of the dyon-fermion dynamics; It is shown that adding the surface Lagrangian to the system is equivalent to selecting suitable boundary condition; By gauge trans-forming the Lagrangian by a charge generator, We get a corresponding U(1) charge current density which is both gauge invariant and spherosymmetrical. Ause of the canonical method and a careful treatment of surface terms show that the S-wave Hamiltonian given by Yamagishi requires amendment by a surface energy term.     

IMPROVEMENT OF THERMODYNAMICAL MONTE CARLO SIMULATION IN SU(2) PURE GAUGE FIELD THEORY ——AN APPROACH TO CONTINUUM PHYSICS LIMIT

The thermodynamical quantities of SU(2) pure lattice gauge field have been simulated first time on the asymmetric lattice (ξ>1).The finite size effect and continuum physics limits have also been studied.The results show that the use of asymmetric lattice is of benefit to calculate the thermodynamical quantities and study the behavior of continuum physics limits.In addition,it is explained that the efficiency of the whole Monte Carlo simulation and the calculation of heat capacity will be improved quite a lot by using bias sampling technique.     

ANGULAR DISTRIBUTION OF THE SOUND FIELD IN SHALLOW WATER

The field of a harmonic point source in a layered medium has a certain angular distribution.Although the angular distribution of the sound field can be calculated for a given receiving point bythe ray theory,the effect of the frequency on the angular distribution function and the sound field inshadow zones can not be calculated.In this paper,the angular distribution of the sound field in layeredmedia is discussed based on the normal-mode theory,and the general expression of the angular dis-tribution function and the attenuation of the sound field with distance for directional reception areobtained.The results given in the paper can be used for the calculation of the sound field in shadowzones and they represent the influence of the frequency on the sound field.When the underwater acous-tic channel and the performance of signal detection in it are investigated,the optimum receiving direc-tion can be chosen by utilizing the obtained results.For a given medium model the numerical cal-culations are conducted     

COMPOSITE FIELD THEORY AND THE STRATON MODEL(Ⅱ)

On the basis of previous papers,this work discusses the theory of composite fields composed of colored stratons.Varicus equivalent representations of the S-matrix elements are given.The formulae for the transition matrix elements between states involving baryons in the theory of Straton Model are derived.Finally,the field- current relations are extended to spin 1/2 baryons and their applications are discussed.     

THE ACOUSTIC FUNCTIONS OF THE MELON OF THE CHINESE RIVER DOLPHIN(Lipotes vexillifer)

In this paper,the acoustic functions of the melon of the Chinese river dolphin(Lipotes vexillifer)are studied.Based on the comparison between the directivity patterns of the whole head and the skull,it is suggested that the melon plays an important role in beamforming.At the frequencuy of 40 kHz,the—3 dB beamwidth of the emitted vertical beam of the whole head is approximately 21.6°,withthe major axis elevated 10°above the ristrum plane;the—3 dB beamwidth of the horizontal beam ofthe whole head is approximately 20°,with the major axis deviated 12°rightward from the body axis.The vertical and horizontal—3dB beamwidths of the whole head are 9.4°and 13°,narrower than thoseof the skull respectively,and the directions of the major axes are different for both cases.It canbe seen that the melon narrows the width of the main beam and greatly reduces the side lobes of thebeam formed by the skull.The distribution of the sound velocity in the melon tissue is measured andthe distribution pattern is drawn.Fr     

ON THE PROBLEM OF THE DUAL CHARGE (MAGNETIC MONOPOLE) OF NON-ABELLAN GROUPS (Ⅱ)

The method of relating the gauge potential to the connection on a spherical surface developed in a previous paper is generalized to the discussion of the potential of an SU(2) magnetic monopole with O(5) symmetry. Expressions for the potential of the monopole with double string singularity or single string singularity are obtained. Finally, by a combined coordinate-gauge transformation, we obtain a string free expression for an SU(2) magnetic monopole with O(5) symmetry.     

THE BOUND STATES OF THE ISOBAR △ (1236)

We have discussed the single particle energies and wave functions of a boundisobar in O¹⁶ by using the O¹⁶ equation.     

A NEW METHOD FOR THE DETERMINATION OF THE SPIN OF ξ(2230)

In this paper we have got the angular distributions of the photon for the moments of process e⁺e^－→J/ψ→γB(J^η),B(J^η)→P₁P₂. It provides a new way to determine the spin of ξ(2230).     

NUMERICAL APPLICATION OF THE RECURSION METHOD TO THE ELECTRONIC STRUCTURE OF C_(60)

采用Ｒｅｃｕｒｓｉｏｎ方法计算了Ｃ６０分子的能态密度，所得的能隙、能级的简并度及顺序与ＬＤＡ方法或者解析方法得到的结果吻合。     

THE DETECTION OF SAW FIELD IN PULSE COMPRESSOR BY LASER SCANNING PROBE

The theory of acousto-optic interaction for the SAW field with metal strip reflective arrays(MSRA)onthe piezoelectric substrate is presented.The original optical probe system is improved to detect and displaythe SAW distribution in the pulse compressor with MSRA deposited on the surface of YZ-LiNbO_3,and theresults are analysed and discussed briefly.     

CALCULATIONS FOR THE FIELD OF PLANE SOUND WAVES IN A REALISTIC ATMOSPHERE

The general theoretical results concerning the reflection and refraction of plane sound wavesin a moving stratified medium obtained in a previous work have been applied to calculate thesound field in a realistic atmosphere.Two distinct approaches,the analytic and the graphic method,have been suggested to estimate the sound field in a multi-layered atmosphere where the gradientsof both temperature and wind velocity are present. The analytic method gives series expressions for the WKB approximation of the field as wellas successive modifications to it.All these expressions may be used as a basis for obtaining specificresults by some further elementary calculations devoted to the profiles of the realistic atmospheremodel. The graphic method gives a clear illustration of the field in a specific example which can beregarded as a standard atmosphere.Both a approaches enable us to simplify considerably the cal-culations referring to the usual multi-layer approaches.     

THE POSSIBILITY OF ξ(2.22) BEING THE STANDARD HIGGS BOSON

We discuss the possibility that the new particle ξ(2.22) is a mixed state of the Higgs boson of the minimal electro-weak model and the p-wave charmonium χ(3.415). If this possibility stands, we shall have Γ_ξ=1.1 keV, Br(ξ→K+K^－)～1/5 and a heavy quark (m>75GeV).     

A METHOD FOR NUMERICAL PREDICTION OF THE AVERAGE SOUND FIELD IN SHALLOW WATER

The theory of the smooth-average field in shallow water is presented;the smooth-average expres-sion suitable for long ranges and the image-source expression suitable for short ranges are combinedtogether to give a more complete calculating method of the average field.The correspondingcomputer programs,which make the calculation of the average field easy and rapid,have heendeveloped.Some examples of application of the method are given,and the calculated results arequite consistent with the experiments.     

ON GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ)

The Hilbert space and the representation of the generators of Virasoro algebra for bosonic string under a holomorphic polarization are given in this paper,It is shown that the contre term of Virasoro algebra may be interpreted as curvature of a holomorphic vector bundle (holomorphic Fock bundle) on coset space G¹¹=G/H where G denotes the conformal transformation group and H the one-parameter subgroup generated by the generator L₀.The condition of the conformal anomaly cancellation may be expressed as the vanishing curvature of the bundle which is obtained by the product of the holomorphic Fock bundle and the holomorphic ghost vacuum bundle.The geometric interpretations of both classical and quantized BRST operators,ghost and antighost operators are also discussed.