| "page_text": "Publications\nReprint Server\nModern Map Methods in Particle Beam Physics\nAbstract\nThis book provides a general introduction to the single particle dynamics of beams. \nIt is based on lectures given at Michigan State University, including the Virtual University Program \nin Beam Physics, as well as the US Particle Accelerator School and the CERN Academic Training Programme. \nIt is rounded out by providing as much as possible of the necessary physics and mathematics background, \nand as such is rather self-contained. In an educational curriculum for beam physics, it represents an \nintermediate level following an introduction of general concepts of beam physics, although much of it \ncan also be mastered independently of such previous knowledge. Its level of treatment should be \nsuitable for graduate students, and much of it can also be mastered by upper division undergraduate \nstudents.\nThe expose is based on map theory for the description of the motion, and extensive use is made of the \nframework of the differential algebraic approach developed by the author, which is the only method that\nallows computations of nonlinearities of the maps to arbitrary order. Furthermore, it lends itself to a \nparticularly transparent presentation and analysis of all relevant nonlinear effects. The tools and \nalgorithms presented here are available directly in the code COSY INFINITY. Many tools from the theory \nof dynamical systems and electrodynamics are included; in particular, we provide a modern and rigorous \naccount of Hamiltonian theory.\nErrata\nThe following items have been confirmed as mistakes in the first edition \nof the book, and are corrected in the downloadable pdf on this page.\nPlease contact\nMartin Berz\nif you feel like you have identified other typographical errors.\nPage 98:\nIn the first line of Equation 2.72, the last argument \"a\" of the \n operator O should be a \"b\"\nPage 111:\nIn the first line of the equation for V, the second term in the\n right hand side misses \"b_2\", i.e.\n \\int_y 1/b_2 { ( b_2 \\partial V / \\partial y )|_{y=0}\nPage 190:\nIn the second term inside the curly brackets of Equation 5.55,\n proportional to ( \\vec p * \\vec B ) \\vec p,\n \"m\" in the denominator should be squared and read \"m^2\".\nPage 283:\nThe first and second pictures in Figure 7.16 are incorrect, they merely\n repeat the third and fourth pictures from page 284.\nPage 294:\nThe text refers to two different tracking pictures in Figure 7.23. \n In fact, the figure shows only one tracking picture.\nM. Berz,\nAcademic Press\n, 1999, ISBN 0-12-014750-5\nDownload\nClick on the icon to download the corresponding file.\nDownload Adobe PDF version (2711271 Bytes).\nGo Back\nto the reprint server.\nGo Back\nto the home page.\nThis page is maintained by\nKyoko Makino\n. Please contact her if there are any problems with it." |
