Analytical Description of Classical Trajectories and Deflection Function in Scattering
نویسندگان
چکیده
Analytical expressions are derived for classical trajectories in repulsive Coulomb plus multi-step attractive potentials. Thereafter the closed form expressions are obtained for the classical deflection functions. The expressions are expected to be of use in heavy ion interactions in nuclear physics.
منابع مشابه
Cantor set structures in the singularities of classical potential scattering
A classical mechanical system is analysed which exhibits complicated scattering behaviour. In the set of all incoming asymptotes there is a fractal subset on which the scattering angle is singular. Though in the complement of this Cantor set the deflection function is regular, one can choose impact parameter intervals leading to arbitrarily complicated trajectories. We show how the complicated ...
متن کاملNONLINEAR POST-BUCKLING ANALYSIS OF ISOTROPIC PLATES BY USING FINITE STRIP METHODS
ABSTRACT This paper presents the theoretical developments of two finite strip methods (i.e. semi-analytical and full-analytical) for the post-buckling analysis of isotropic plates. In the semi-analytical finite strip approach, all the displacements are postulated by the appropriate shape functions while in the development process of the full-analytical approach, the Von-Karman’s equilibrium equ...
متن کاملAsymptotic Behavior of Bohmian Trajectories in Scattering Situations
We study the asymptotic behavior of Bohmian trajectories in a scattering situation with short range potential V and for wave functions Ψ = Ψ + Ψ ∈ L(R) with a scattering and a bound part. It is shown that the set of possible trajectories splits into trajectories whose long time behavior is governed by the scattering part Ψ of the wave function (scattering trajectories) and trajectories whose lo...
متن کاملVibration, Buckling and Deflection Analysis of Cracked Thin Magneto Electro Elastic Plate Under Thermal Environment
The Magneto-Electro-Elastic (MEE) material exhibits pyroelectric and pyromagnetic effects under thermal environment. The effects of such pyroelectric and pyromagnetic behavior on vibration, buckling and deflection analysis of partially cracked thin MEE plate is presented and discussed in this paper. The aim of the study is to develop an analytical model for the vibration and geometrically linea...
متن کاملDeflection of a hyperbolic shear deformable microbeam under a concentrated load
Deflection analysis of a simply supported microbeam subjected to a concentrated load at the middle is investigated on the basis of a shear deformable beam theory and non-classical theory. Effects of shear deformation and small size are taken into consideration by hyperbolic shear deformable beam theory and modified strain gradient theory, respectively. The governing differential equations and c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004