Abstract
This paper is devoted to one of the methods of symbolic computation, which based on perturbation theory and constructed in the framework of matrix formalism. This method can be used for solving optimization problems and preliminary modeling in accelerator physics. There are presented the main theoretical positions and demonstration the result of this method on example of one of classical problems.
Highlights
The main instruments of high-energy physics are accelerators, the effective work of which depends both on the mathematical models and the corresponding software
The MaryLie package, does not support the Lego-ideology, and requires new calculations for the entire system when replacing any of its elements
We propose to use a matrix approach [4] to modeling of nonlinear dynamical systems
Summary
The main instruments of high-energy physics are accelerators, the effective work of which depends both on the mathematical models and the corresponding software. The MaryLie package, does not support the Lego-ideology, and requires new calculations for the entire system when replacing any of its elements. We propose to use a matrix approach [4] to modeling of nonlinear dynamical systems. It allows the use of symbolic calculations, such that cumbersome calculations are performed just once to yield final formulas which can be stored and used later. The matrix approach allows us consider trajectories beam as a single object. Particular this allows us to move from coordinates and impulses to quantities that can be measured experimentally
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
