Introduction.- Cascade processes of high energy.- Forward (basic) equation for CP.- Backward (adjoint) equation.- Electrons and photons.- Analytical EPC theory.- EPC fluctuations theory.-Cascades in calorimeters.- SBCE method.- Monte Carlo modeling.- EAS structure.- Cherenkov radiation of EPC.- Transport in interstellar medium.- Relativistic EPC in intergalactic medium.-Conclusion: Cascade ages, similarity, universality.
Professor, Dr. of Phys. Math. Sci. Vladimir V. UCHAIKIN was born on 01.07.1941 in USSR and the head of the department of theoretical physics of Ulyanovsk State University, Russia. He is a known Russian scientist and pedagogue, an honored worker of Russian High School, a member the Council on the Complex Problem of Cosmic Rays of the Russian Academy of Sciences, and a member of the Russian Academy of Natural Sciences. He worked for Lomonossow’s Moscow State University and some other Russian universities, visited as an invited lecturer at Wrozlaw Polytechnik University (Poland), Nottingham Trent University (UK), Humboldt University, K. Weierstrass Institute, and Max Planck Institute (Germany), and served 2005–2006 асаdemic year as a visit professor in Case Western Reserve University (Ohio, USA).
This book considers the phenomena in the framework of a measurement procedure mapping random samples of Markov branching process. The statistical theory of cascade processes can be developed in three ways. The first way is connected with the further development of the classical (forward) kinetic equation system with increasing number of arguments, that is, involving many particle distribution functions along the lines of the standard approach in statistical physics (Bogoliubov, Balescu).The second way to build the theory, choosing for this book, is based on a generalization of the backward (adjoint, in the Lagrange sense) kinetic equations. This approach is borrowed from the theory of nuclear reactors with neutron multiplication (Marchuk, Lewins). The third way is dealing with global nature of the information extracted from individual cascades, such as the direction of the shower axis, position of the center of gravity, the width of the distribution, the shape of the detector pulse, and the image parameters in Cherenkov light images. In contrast to individual particles, these characteristics relate to the cascade as a whole and for this reason, it may be treated as some sort of collective variables (Bohm, Feynman).