Relativistic BUU Equation

Based on the Waleck's models QHD-Ⅰ and QHD-Ⅱ describing the nucleon-nucleon interaction,the Boltzmann-Uehling-Uhlenbeck (BUU) equation,which is the time evolution of the nucleon distribution function including the Hartree and Fock self-energy terms as well as the Born collision term and its exchange term,has been derived by using the closed-time path Green's function technique and assuming that the Green's functions and the self-energy terms are slowly varying functions of the centre-of-mass coordinates.Our result shows that the BUU equation for proton and that for neutron are simultaneous each other.     

Dynamics of Many-Body Correlation Green's Functions Ⅲ Truncation with Respect to Crder

All of the main non-perturbative results in the standard Green's function theory are obtained naturally and explicitly from the set of dynamic equations of the many-body correlation Green's functions by means of truncation up to lower correlations.The two-body correlation Green's function dynamics includes both ladder diagrams for short-range correlations and ring diagrams for long-range correlations in a unified way.     

Constrained Correlation Dynamics of QED in Canonical Form(Ⅱ)Equal Time Limit and Two-Body Correlation Dynamics

The equations of motion for multi-time correlation Green's functions are transformed into those for equal-time correlation Green's functions,which include the equations of motion for electron's and photon's density matrices as well as vertex functions.In two-body correlation truncation approximation,we present the explicit expressions for the equations of motion,Gauss law and Ward identities explicitly.     

SINGLE-PARTICLE AND SINGLE-HOLE ENERGIES IN THE 40Ca REGION

The single particle (SP) energies of ⁴¹Ca and the single hole energies of ³⁹Ca are calculated with eigenvalue equation derived from SP Green's function.The matrix element of M-3Y force is adopted as the equivalent of G-matrix element.Two particle one hole (2plh) and two hole one particle (2hlp) multiple scattering (MS) correlation were studied.The results show the 2hlp MS correlation is more important than the 2plh MS correlation.     

Dynamics of Many-Body Correlation Green's Functions Ⅱ. Equal Time Limit

Under equal time limit,it is shown that the dynamic equations of the n-body correlation Green's functions G(n)c leads to the set of equations for time evolution of the n-body correlations c_n and the many-body correlation Green's functions and their equations of motion are independent of the time order.     

SCALING PHENOMENA AND RENORMALIZATION GROUP

By acting the operator D of the renormalization group equation on the amputa-ted Green's function of N particles,we can deduce the generalized Wroblewski rela-tionship and the corresponding differential equations.Naturally,the Kendall scalingdistribution of the multiplicity is obtained.The scaling variable is proved to be N/〈N〉.Under certain conditions,the inelasticity scaling distribution is also of theKendall type.The parameter of distribution represents relative statistical fluctuationof energy in the central region.     

CONTRIBUTION OF THE 2p-1h MULTIPLE SCATTERING CORRELATION TO THE SPECTRA OF 17O AND 15O

Using the method of Green's function and partial summation of multiple scattering,we have investigated in various approximations the contribution of 2p-1h multiple scattering correlaion to the low energy spectrum of ¹⁷O and ¹⁵O,respectively.In our calculation,the nuclear force employed is the paris potential and the energy dependence of G matrices has been taken into account rigorously.The numerical results agree with the experimental data reasonably well.     

WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS

The weak coupling approximate Schwinger-Dyson equation of the straton's pro-pagator in 4-dimensional QCD theory and the problem of the straton's confinement are discussed. It is proved that, when we choose Landaugauge, the obtained Sch-winger-Dyson integral equation of the straton's propagator can be transformed into a very simple form. Then we change it into a first order non-linear differential equation. It has two solutions: a confining solution and a solution that has no con-finement for the stratons. The effective potential in QCD is derived by functional method, and the ground-state energy difference between these two solutions is discussed. In our approximation, we calculate the vacuum graph to the 2-loop diagrams, We may conclude that stratons are not confined in our approximation.     

Perturbation theory for QED bound states

A new method is presented for deriving a systematic perturbative expansion for QED bound states, which does not rely upon solving any new or old equation. The starting point is a given nonperturbative zeroth order Green's function, obtained by a suitable “relativistic dressing” of the nonrelativistic Green's function for the Schrödinger equation with Coulomb potential, which embodies the Coulombic bound states and is known. The comparison with the complete Green's function as given by standard perturbative QED gives a perturbative kernel which is then used for the expansion of the QED Green's function in terms of the given non-perturbative zeroth order Green's function.     

BACK-WARD POTENTIAL SCATTERING AT HIGH ENERGIES

A simpler approximate formula to describe backward potential scattering at high energy is derived by neglecting the transverse monmentum transfer in the Green's propagator and, as examples, the numerical results are compared with the exact solutions.     

Constrained Correlation Dynamics of QED in Canonical Form(Ⅰ) Equations of Motion for Correlation Green's Functions

With the aid of generating-functional technique and in the framework of correlation dynamics,we establish the constrained correlation dynamics of QED in the temporal gauge and canonical quantization form,and obtain a closed set of equations of motion for correlation Green's functions.     

Remark on the solution of the Schrödinger equation for anharmonic oscillators via the Feynman path integral

We give a simple proof of Feynman's formula for the Green's function of the n-dimensional harmonic oscillator valid for every time t with Im t ≤ 0. As a consequence the Schrödinger equation for the anharmonic oscillator is integrated and expressed by the Feynman path integral on Hilbert space.     

LIQUID-GAS PHASE TRANSITION OF SYMMETRIC NUCLEAR MATTER AND SGII-TYPE EFFECTIVE INTERACTIONS

Using the real time Green's function method and SGII-type interactions,we calculate the pressure,the critical temperature and other thermodynamical quantities.We compare our results with that given by other nucleon-nucleon effective interactions.     

1s-0d EFFECTIVE INTERACTIONS OF ISOSPIN TRIPLET AND 18Ne-18O COULOMB DISPLACEMENT ENERGIES

The sd-shell effective particle interactions are derived from the Paris potential and electric magnetic interactions using Green's function method.The ¹⁸Ne-¹⁸O Coulomb displacement energies are obtained by solving the energy spectra of nuclei with A=18.     

η-meson in the Pseudoscalar Coupling at Finite Temperature

By means of the imaginary-time Green's function method in the finite-temperature field theory, the η-meson and nucleons interaction coupling constant, the effective mass of η-meson and the one η-meson exchange potential for the pseudoscalarcoupling at finite temperature are given. The results are compared with that given by the pseudovector coupling case.     

THE SPECTRAL REPRESENTATION OF PROPAGATOR FOR FERMION FIELD AND QUARK CONFINEMENT

The properties of fermion causal Green's function is discussed according to the theory of spectral representation. The definition of effective mass is established from the view point of field theory, and the approximate expression of S_F' (p) as |p²|«M² and the asymptotic formula of S_F' (p) as p²→+∞ is given. In terms of these result the problem of quark confinement is discussed. We find that: (ⅰ) Based on the theory of spectral re presentation the concept of relative confinement is allowed, and if renormalization effect is strong, the quarks can demonstrate definitely lighter effective mass when they are far away from the mass shell; (ⅱ) Based on the theory of spectral representation the concept of absolute confinement is unallowable, even the absolute confinement is taken as the limit of relative confinement. That is if the concept of absolute confinement is introduced, we must discard a part of elementary hypothesis of spectral representation theory.     

A boundary integral method to compute Green's functions for the radiative transport equation

The Green's function for the time-independent radiative transport equation in the whole space can be computed as an expansion in plane wave solutions. Plane wave solutions are a general class of solutions for the radiative transport equation. Because plane wave solutions are not known analytically in general, we calculate them numerically using the discrete ordinate method. We use the whole space Green's function to derive boundary integral equations. Through the solution of the boundary integral equations, we compute the Green's function for bounded domains. In particular we compute the Green's function for the half space, the slab, and the two-layered half space. The boundary conditions used here are in their most general form. Hence, this theory can be applied to boundaries with any kind of reflection and transmission law.     

One η-Meson Exchange Potential of Nucleon-Nucleon at Finite Temperature

By means of the imaginary-time Green's function method,the temperature dependences of the η-meson and nucleon interaction coupling constant and one one η-meson exchange potential are discussed.We find that when temperature increases to 215MeV,the coupling constant approaches to zero and the one η-meson exchange potential of nucleon-nucleon disappears.     

THE INFRARED STRUCTURE AND THE ELECTROMAGNETIC FORM FACTORS OF QUANTUM CHROMODYNAMICS IN TWO DIMENSIONS

We discuss a model of quantum chromodynamics in 1+1 dimension.Using't Hooft's 1/N expansion and considering the effects of the infrared structure in non-Abelian gauge theories by assuming that the coupling g²（t）～1/t^κ-1,the Straton's Pro-pagator and the Bethe-Salpeter equation of mesons are obtained;the propertiesof the meson wave functions and their characteristics are also discussed.From thebehaviour of the electromagnetic form factors and the deep inelastic scattering struc-ture functions obtained,it follows that κ≤2.     

Zur Greenschen Funktion optisch anisotroper Medien

Green's Function of Optically Anisotropic Media The time-fouriertransformed dyadic Green's function is calculated in the far-field-approximation for optically anisotropic media. To this end the time- and space-fouriertransformed Green's tensor-function is represented by dyadic products of the eigenvectors of the homogeneous Fresnel's equation, and the transformation back into space is done in the asymptotic limit by the stationary phase integration method. As an application the radiation field of an electric dipole in an optically anisotropic medium is evaluated. All results are discussed in the case of uniaxial crystals.