8 papers
A new method for calculation of traces of Dirac -matrices in Minkowski space
Alexander L. Bondarev
This paper presents some relations for orthonormal bases in the Minkowski space and isotropic tetrads constructed from the vectors of these bases. As an example of an application o…
Construction of Orthonormal Bases from the Vectors of the Problem in Minkowski Space
Alexander L. Bondarev
We propose to use the modified Gram -- Schmidt orthonormalization process in Minkowski space for construction of orthonormal bases from the vectors of the problem.
Methods of Minimization of Calculations in High Energy Physics: 2. Minimization of number of vectors in problem
Alexander L. Bondarev
The various ways to reduce number of vectors describing condition of particles for high energy physics problems are presented. In particular decomposition of any vector with respec…
Methods of Minimization of Calculations in High Energy Physics: 1. A Covariant Method of the Calculation of Amplitudes of Processes Involving Polarized Dirac Particles
Alexander L. Bondarev
The article deals with a number of the existings variants of direct calculation of amplitudes of processes with polarized Dirac particles. It is shown, that all of them are special…
A Covariant Method for Calculating Amplitudes of Processes Involving Polarized Spin 1/2 Particles. Calculation of the Interference Terms in their Cross Sections
Alexander L. Bondarev
A covariant method is proposed for calculating the amplitudes of processes involving polarized spin 1/2 particles. It is suitable for calculating the interference terms in the cros…
Some Methods of Minimization of Calculations in High Energy Physics
Alexander L. Bondarev
Two approaches to calculations' minimization in High Energy Physics are considered. The first one is the method of covariant calculations for the amplitudes of processes with polar…