symmetry properties
1.The symmetry properties of the optical coherence with respect to the detuning of the light frequency from resonance show up in specific symmetries of the spectra.
2.Starting from symmetry properties of equation and considering the variable-coefficient of the equation as a new dependent variable,a new general method to solve variable-coefficient equation is proposed.The solution of variable-coefficient equation can be expressed by an arbitrary solution of the corresponding constant-coefficient equation.Taking Schridinger equation as a concrete example,the method is recommended in detail.
3.DEFORMATION PROPERTIES OF SATURATED CLAY UNDER AXIAL SYMMETRY STRESS CONDITION
4.Some properties of adjoint matrix are discussed. The properties are symmetry, antisymmetry, positive definite, positive semi-definite, orthogonal and characteristic value.
5.The symmetry group, symmetry reductions and similary reductions of new KdV equation u t=5t(u xxx +6uu x)+1/2 are given, and the Painleve properties of the reduction equations are also obtained.
6.Natural properties of mutation, growth, and symmetry are drawn parallel to global social issues of cultural hybridization and development.
7.The dynamical properties of the atomic operators in a nondegenerate two-photon Jaynes-Cummings model is discussed from the quantum statistical theory of radialion, which reveals the phenomenon of quantum revival and collopse in Rabi oscillation of the atomic population inversion and confirms that the narrowforrn, lower symmetry and short period of the wave packet of the phenomenon are the outstanding features resulting from the interaction between the atom and the radiation field with a lower degenerate multiphoton process.
