Application of dynamical Lie algebraic method to atom-diatomic molecule scattering

The dynamical Lie algebraic approach developed by Alhassid and Levine combined with intermediate picture is applied to the study of translational-vibrational energy transfer in the collinear collision between an atom and an anharmonic oscillator. We find that the presence of the anharmonic terms indeed has an effect on the vibrational probabilities of the oscillator. The computed probabilities are in good agreement with those obtained using exact quantum method. It is shown that the approach of dynamical Lie algebra combining with intermediate picture is reasonable in the treating of atom-anharmonic oscillator scattering.

Display; A Lie

Two original poems

Topology synthesis of three-legged spherical parallel manipulators employing Lie group theory

Driven by the requirements of the bionic joint or tracking equipment for the spherical parallel manipulators (SPMs) with three rotational degrees-of-freedom (DoFs), this paper carries out the topology synthesis of a class of three-legged SPMs employing Lie group theory. In order to achieve the intersection of the displacement subgroups, the subgroup characteristics and operation principles are defined in this paper. Mainly drawing on the Lie group theory, the topology synthesis procedure of three-legged SPMs including four stages and two functional blocks is proposed, in which the assembly principles of three legs are defined. By introducing the circular track, a novel class of three-legged SPMs is synthesized, which is the important complement to the existing SPMs. Finally, four typical examples are given to demonstrate the finite displacements of the synthesized three-legged SPMs.

The solvable Lie group N_{6, 28}: an example of an almost C_0(\mathcal{K})-C*-algebra

Motivated by the description of the C*-algebra of the affine automorphism group N6,28 of the Siegel upper half-plane of degree 2 as an algebra of operator fields defined over the unitary dual View the MathML source of the group, we introduce a family of C*-algebras, which we call almost C0(K), and we show that the C*-algebra of the group N6,28 belongs to this class.

Le vieux caporal : drame en cinq actes. [suivi de] Diane de lys et de camélias, ou La femme du monde légère, liée à un homme bilieux qui n'entend pas la plaisanterie : grande parodie en 3 petits tableaux. Livr. 121 / par MM. Dumanoir et d'Ennery ; par MM. Delacour et Lambert Thiboust

Collection : Théâtre contemporain illustré ; 121e et 122e livraisons

Le vieux caporal : drame en cinq actes. [suivi de] Diane de lys et de camélias, ou La femme du monde légère, liée à un homme bilieux qui n'entend pas la plaisanterie : grande parodie en 3 petits tableaux. Livr. 122 / par MM. Dumanoir et d'Ennery ; par MM. Delacour et Lambert Thiboust

Collection : Théâtre contemporain illustré ; 121e et 122e livraisons