Abstract
The universal expression for the amplitude square |u_f M u_i|^2 for any matrix of interaction M is derived. It has obvious covariant form. It allows the avoidance of calculation of products of the Dirac's matrices traces and allows easy calculation of cross-sections of any different processes with polarized and unpolarized particles.
Highlights
Amplitude square u f Mui calculations are necessary in order to find probability transactions for any processes in quantum electrodynamics
The interaction matrix M is the combination of the Dirac matrices and their products
There are many papers devoted to calculation of u f Mui for a particular process
Summary
Amplitude square u f Mui calculations are necessary in order to find probability transactions for any processes in quantum electrodynamics. That expression was almost impossible to use for practical purposes because it was expressed in terms of vector parametrization of Lorentz’s group Such expression was discussed in [3] but u f Mui was expressed through the three-dimensional quantities in laboratory reference frame. Expression (13)-(27) determines the amplitude square u f Mui for any quantum electrodynamics process with polarized particles. This expression helps to get rid of the time-consuming necessity of trace matrices products calculations for different processes. Results of such calculations are already included into (13)-(27). As an example of such simplification let us use (13)-(27) for calculation of u f Mui for an electron-muon collision
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.
