THE GAUGE OPERATORS FOR PSEUDOSCALAR FIELDS AND THE BAKER-HAUSDORFF FORMULA

In this paper, we present the explicit expressions of the gauge operators for pseudoscslar fields in a gauge theory coupled vector and axial-vector fields with the aid of the method of operator algebras.The gauge operators of the pure gauge field theory under the chiral group SU(N)×SU(N) are also presented. P9oreover, the explicit expression of the Baker-Hausdorff formula is obtained for a special case and the general situation is discussed.     

QUANTUM FIELD THEORY IN EXTERNAL SOURCE:COHERENT STATE AND EIGENSTATES OF FIELDS

The real scalar field and the spinor field with external sources present are studied. The relationship between external sources and coherent states is given. In the case of real scalar field the eigenstates of field and its canonically conjugate field are derived in terms of coherent state and functional integration techniques. For a fermion field, it is demonstrated that Schwinger's external sources technique can lead to the spinor coherent states, with which we can also derive the eigenstates of fie3d operators and their conjugate field operators.The Yang-Feldman equation with the Grassmann sources is also obtained.     

NEW OPERATOR IDENTITIES GAINED VIA COHERENT STATE FORMULATION

By the properties of the coherent state and the technique of performing integrations within ordered products as in Ref. [1], we derive some new useful operator ordering identities. Their applications, especially in studying the Boglyubov transformations both in one and two dimensional cases, are presented. The explicit non-unitary operators which turn the coordinate or momentum eigenstate to the corresponding coherent state are also given. Moreover,by using t h e Schwinger angular momentum theory and the technique mentioned above we f!nd the normal product form of the rotation operator, with which the coefficient of the rotation D-matrix can be easily obtained.     

CALCULATING DENSITY OPERATOR FROM DIAGONAL COHERENT STATE REPRESENTATION

By means of combining normal product's properties we put forward to a formulation for obtaining density operators from Glauber-Suaaishan "P repre-sentation" and other non-diagonal representations directly in the coherent's properties with the quantum optics.     

RELATIVISTIC EQUAL-TIME EQUATION OF BOSE-FERMI SYSTEM

The relativistic equal-time equation of Bose-Fermi system and its conjugate equation are found.The hermiticity of equal-time potential and equal-time scattering amplitude is discussed. The result shows that if the Feynman Green function is replaced by the retarded Green function, the hermiticity of equal-time potential and equal-time-scattering am-plitude will be confirmed.     

NEUTRON SPIN INTERFERENCE,PRINCIPLE OF SPINOR SUPERPOSITION AND INFLUENCE OF EARTH GRAVITY ON THE NSE

The interfererice between the spinor components of the potarized neutron beam passing through a Mezei-coil investiga-ted. The authors proposed a method to detect the phase shift of the spinor Components a to test the principle of the fermion spin superposition. The influence of the earth gravity on the spinor interference is considered. The results show that the Planck's constant h and the Newtonian gravitational constant G(or q) both are involved in the phase shift θ, which is independent of the neutron mass.     

THE SIMPLIFIED EQUATION FOR RELATIVISTIC NEUTRON'S MOTION IN EXTERNAL MAGNETIC FIELD

In this paper the Dirac's equation for the neutron in external magnetic fields is given. After decoupling into two equations of the simple spinors, the simplified equations are obtained by some reasonable approximations. The corresponding second order non-relativistic approximation, Green's function and single particle,spectrum are derived. It is shown that, apart from easy solution, the precision of the simplified equation is sufficiently high, its applications are universal.     

VARIOUS EXPRESSIONS FOR THE FIELD STRENGTHS OF A MONOPOLE WITH DIFFERENT VELOCITIES AND THE INTEGRAL FORM OF THE POTENTIAL OF A MONOPOLE

Various expressions for the field strenghs of an accelerated monopole are given. In the integral form, we disscuss the potentials for static, uniformly moving and accelerated monopoles. In the static case, we obtain the Wu-Yang Potential. In the case of constant velocity we obtain a potential which can also be obtained through Lorentz transformation from the Wu-Yang Potential. However, for an accelerated monopole, the correct potential cannot be obtained through Lorentz transformation. On the contrary, the correct Lienard-Wiechert Potential of an accelerated electron can be obtained through Lorentz transformation.     

结合异常样本检测的汽油族组成拉曼光谱分析

汽油族组成不仅决定了汽油品质,同时直接关系到燃烧尾气对环境的影响。文章成功地将拉曼光谱分析技术应用于汽油族组成的定量分析。通过对校正集进行异常样本检测,剔除个别异常样本,有效地提高了偏最小二乘的模型精度,得到了较好的预测效果。芳烃含量、烯烃含量和氧含量的标准预测误差分别达到了0.23,0.52和0.143,其预测复相关系数分别达到了0.987,0.927和0.971。实验结果表明：采用拉曼光谱分析技术可以有效的解决汽油族组成的定量分析问题,其分析精度显著高于近红外光谱法与多维气相色谱法;同时也适用于汽油生产过程中的在线分析。     

CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP

In this paper the lattice current-current propagator is calcdlated and the influence of coset pure gauge fields of an abelian chiral group G=U₁×U₁⁵ on confinement properties of a quark system is discussed by virtue of the Wilson's criterion in lattice gauge theory. When subgroup H is U₁, the coset pure gauge fields only contribute a perimeter law factor to the current current propagator which has no influence on confinement properties of the system. When subgroup H is U_s, the coset puregauge fields have no influence on wnfinement properties of the system either.