# SymbMat: Symbolic computation of quantum transition matrix elements

## Description

Abstract We have developed a set of Mathematica notebooks to compute symbolically quantum transition matrices relevant for atomic ionization processes. The utilization of a symbolic language allows us to obtain analytical expressions for the transition matrix elements required in charged-particle and laser induced ionization of atoms. Additionally, by using a few simple commands, it is possible to export these symbolic expressions to standard programming languages, such as Fortran or C, for the subseq... Title of program: SymbMat Catalogue Id: AEMI_v1_0 Nature of problem The notebooks generate analytical expressions for quantum transition matrix elements required in diverse atomic processes: ionization by ion, electron, or photon impact and ionization within the framework of strong field physics. In charged-particle collisions approaches based on perturbation theory enjoy widespread utilization. Accordingly, we have chosen the First Born Approximation and Distorted Wave theories as examples. In light-matter interactions, the main ingredient for many types of cal ... Versions of this program held in the CPC repository in Mendeley Data AEMI_v1_0; SymbMat; 10.1016/j.cpc.2012.03.020 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)