Theoretical Study of Atomic Excitation by Impact of Protons in the Variational Formalism

Abstract

Schwinger's variational principle is used to evaluate excitation cross-sections of hydrogen atom by proton impact in a range of energies excluding a pertubative treatment. To describe the strong coupling between the excitation and the capture channels that exists at low energies, the continuum states have been introduced in the total wave function. Our results show that these states can describe properly the projectile capture states.

Laguerre Polynomial Solutions of a Class of Delay Partial Functional Differential Equations

“…Delay partial and partial integro-differential equations play an important role in many scientific areas such as biology, physics, and engineering [1][2][3][4][5][6][7]. Furthermore, the approximation methods of these type of problems have been developed by many authors [8][9][10][11][12].…”