Supersymmetric Pair Coherent States

Based on the permu table property between the two-mode boson-fermion annihilator for a supersymmetric harmonic oscillator, which is described by H = b^↑b + f^↑f, and the "charge" operators b^↑b - f^↑f we construct the supersymmetric pair coherent state. The super-lie algebra associated with the supersymmetric pair coherent state is analyzed.     

Supersymmetric Unitary Operator for Some Generalized Jaynes-Cummings Models

We introduce supersymmetric unitary operators to directly diagonalize some generalized Jaynes-Cummings (J-C) Hamiltonians; which more deeply shows that supersymmetry is a natural language to depict the J-C model.     

SYNTHESES OF AZETIDINES VIA PHOTOCYCLOADDITION OF C=C TO C=N DOUBLE BONDS

The photocycloaddition of 6-azauracil (AU) with olefins have been carried out. Four new compounds,1,2,4-triazabicyclo [4,2,0] octane and 1,2,4-triazatricyclo [4,2,0^1.6,0^7.12]dodecane derivatives,were obtained. Based on structure identificationof productsand photosensitization behavior of this syste,the regioselection and the multiplicity of thisreaction were discussed.     

Inverse of Radiation Field Operators and the Generalized Jaynes-Cummings Model

We generalize the standard Jaynes-Cummings model (JCM) to a model Hamiltonian with the radiation field operators being the inverse of a harmonic oscillator's creation and annihilation operators. Some new commutative relations about the inverse operators are derived and the generalized JCM Hamiltonian's eigenstates are derived.     

3-氯-2-烃基四氢吡喃的镁开环反应

研究了用镁对3-氯-2-烃基四氢吡喃(1)的开环反应,制得一系列5-烃基-4-戊烯-1-醇(2),上述反应产率高,立体选择性强,无论顺式或反式的(1)开环时都得到反式(2).     

[Mn(H2O)4(NCS)2](18-冠-6)的分子和晶体结构

报导了[Mn(H2O)4(NCS)2](18-冠-6)单晶的X射线结构分析.它的晶体正交晶系.锰(II)与两个硫氰酸根,四个水分子配合形成顺式八面体的配位分子,并通过其中的水分子与18-冠-6以氢键结合.     

分子光化学贮存太阳能 Ⅲ.双环[2,2,1]-2,5-庚二烯的光诱导电子转移敏化异构化反应

以N,N,N′,N′-四甲基联苯二胺、2,6-二甲氧基萘和2,7-二甲氧基萘为光敏剂,在正己烷溶液中实现了双环[2,2,1]-2,5-庚二烯到四环[2,2,1,0^2,6,0^3,5]庚烷的异构化。测定了反应的量子产率。讨论了反应机理。通过激发态的光敏剂与二烯之间的电子转移反应,形成单重态和三重态处于平衡状态的离子自由基对中间体。处于溶剂笼中的三重态离子自由基对经电子反传,产生激发三重态二烯。最后该激发态二烯经分子内[2+2]环合加成反应异构化为四环烷。     

SOME REPRESENTATIONS FOR TIME-DEPENDENT HARMONIC OSCILLATOR

In terms of the IWOP (integration within ordered product) technique, we construct squeezed state formulatiion for the time-dependent harmonic oscillator.The formulation is based on the Lewis-Riesenfeld quantum theory.Some other representations are also found with the same technique.     

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.