User:Acharya.tifr

This is the user page for Asheshanand Acharya, a student of Physics from India. I will be making a page on Coulomb Scattering States, the plan of which, is as follows: Introduction section In the introduction section of the page I will write briefly about the properties: A long range potential field. Distortion of the radial wave function at infinity Total scattering cross-section comes out to be infinite Its analogy with other spherically symmetric potential Detailed explanations In the first step I will show that in presence of coulomb potential the state takes the form ℵ≈e^(i(kz+γ ln(2kr Sin^2 (θ/2))))+f_c (θ)e^(i(kz-γ ln(2kr)))/r With r-dependent, logarithmic phases both in the incoming wave in the outgoing spherical wave, and calculate the scattering amplitude f_c (θ) for pure Coulomb Potential. Its analogy with scattering experiment of alpha particles on nuclei, proving that nuclei are practically point like as compared to typical radii of atoms. I will also explain in brief, that this amplitude can be obtained by using directly the amplitude obtained in case of Yukawa Potential. I will also try to elaborate spherically symmetric potentials which deviate from the 1/r form in the inner region but decrease like 1/r in the outer region. In this case it would be sufficient to calculate their relative phase with pure Coulomb Potential, and not relative to the force free state. I will also write it’s relation with Born Series, Born Approximation and Form Factor. Though I am not sure about it, but I will be reading on it. I will then be writing in separate section about the Inelastic scattering process and then will be showing the elastic final state will be “depopulated” in favor of new, inelastic channels. Whether such channels are“open”, and, if so, how many there are, depending on the dynamics of the scattering process and of the energy of the incoming state. I will also be writing in brief about the total scattering cross-section to be equal to sum of elastic and non-elastic cross-sections. Then, their relation with inelasticity for case one and zero. References: Quantum Mechanics Volume II, Cohen-Tannoudji. Quantum Physics, Scheck, F. 2013,XVI, 741p. 103 illus. Bound States and Scattering, Nicholson, A. F., Australian Journal of Physics, vol. 15, p.174 Bibliographic Code: 1962AuJPh..15..174N I will also try to include as many figures and illustrations as possible.