Meanwhile, it was pointed out that the matrices 〈(t)xψ(t)〉 and 〈(t)pψ(t)〉 defined by the two wave functions (t)〉 and ψ(t)〉 satisfy classical equations of motion.

同时指出 ,用两个波函数(t)〉和 ψ(t)〉定义的坐标和动量的矩阵元〈(t) x ψ(t)〉和〈(t) p ψ(t)〉满足经典形式的运动方程 .

We also give the Maurer-Cartan equations based on the psu(1, 1|2) superalgebra and derive equations of motion of AdS_2× S~2 string, and the κ symmetry of AdS_2× S~2 string action is verified at the same time.

By studying the destabilization of non-lasing solution of density matrix equations of motion, we found that in the resonant case the open V system can not only produce pulsed LWI putout through the destabilization induced by the Hopf bifurcation but also produce continuous LWI putout by the destabilization induced by the Pitchfork bifurcation.

In the model, the Reynolds equations of motion are closed with algebraic transport equations for the Reynolds stresses, coupled with the k-ε two equation turbulence model.

This paper starts from the equations of motion in generalized curvilinear coordinates and the model of Head's two-dimensional entrainment theory, and derives a set of equations along surface curve on normal profile of a yawed wing for a compressible three-dimensional turbulent boundary layer.

Starting from the Мещерский equations, the higher order D'Alembert-Lagrange principle for mechanical system of variable mass is obtained, and different kinds of higher order differential equations of motion for holonomic mechanical system of variable mass are derived.

In this paper we calculate the normalization constants mp_ 0π and mp_ 0K of the twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules,instead of using the equations of motion.

Therefore, the higher-order differential equations of motion of the holonomic system are a complement to the second-order differential equations of motion, including Newtonian kinetic equations and the traditional Lagrange equations, Nielsen equations and Appell equations.

Stabilization of the trajectories of a linear discrete system closed by dynamic feedback under interval uncertainty of the equations of motion and observation is studied.

Equations of Motion of a Gas in Pipelines in the Field of Homogeneous Random Functions

A method for approximate analytical optimization of low-thrust transfers, described in [1] and based on linearization of the equations of motion, is considered.

These data covering an interval of slightly less than one orbit were jointly processed by the least squares method, by integrating the equations of motion of the station relative to its center of mass.

The outer cycle involves the numerical integration of the averaged equations of motion of the satellite center of mass.

In this paper the writer employs complex Riemannian Geometry and defines the absolute interval between two points as consisting of a real part and an imaginary part. Two postulates (I) and (II) are used: the first may be called law of gravitation and electro-magnetism; the second equation of motion. In the absence of electromagnetic phenomena the theory reduces practically to Einstein's theory.

The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble...

The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble and Humason's velocity-distance relation. The second part is a correction which amounts to 11.5% for d2x10~8 l.y. and hence lies within observational error of the present Mt. Wilson 100-inch telescope. The theory shows that both Milne's recent Newtonian theory of the expanding universe and Lemaitre's interpretation of tha velocity-distance are first order approximations and are valid only within 2xl08 l,y. from our galaxy. The calculation for the phenomsna of nebular recession beyond 2xl08 l.y. to be observed by the 200-inch telescope now under construction according to the present scheme will be presented in the near future.

This paper deals with a method of treating problems of Turbulence from a kinetic point of view. Turbulence "temperature", "pressure", and "entropy" are first defined as state functions, and then the pressure and temperature are incorporated into the equations of motion. Turbulent flows through a circular pipe and between parallel planes are considered in some detail, while the problems of turbulence decay, turbulence structure, and correlation characteristics are briefly discussed. Practically in all cases,...

This paper deals with a method of treating problems of Turbulence from a kinetic point of view. Turbulence "temperature", "pressure", and "entropy" are first defined as state functions, and then the pressure and temperature are incorporated into the equations of motion. Turbulent flows through a circular pipe and between parallel planes are considered in some detail, while the problems of turbulence decay, turbulence structure, and correlation characteristics are briefly discussed. Practically in all cases, the constancy of the turbulence temperature is found to play an important role.