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This Seminar has been organized in Erice, in the frame of the Eloisatron project activities, with the special purpose of bringing together an interdisciplinary group of distinguished physicists with prominent interest in the development of the accelerators. Listening to the invited lectures, examining the new topics and reviewing ideas for the acceleration of particles to energies beyond those attainable in machines whose construction is under way or is now contemplated are all important moments of this Seminar that will offer to the Italian Physicists a very important opening over the scenario of the accelerators. In connection with the Eloisatron project developments future Workshop-Seminars are now envisioned, each one aimed to a very specific topic in the field of the particle accelerators. The Editors v CONTENTS Overview of Linear Collider Studies ...*...K. Johnsen Principles of Beat-Wave Accelerators ...15 U. de Angelis, R. Fedele and V. G. Vaccaro Wake Field Acceleration...29 W. Bialowons, H. D. Bremer, F. -J. Decker, M. v. Hartrott, H. C. Lewin, G. -A. Voss, T. Weiland, P. Wilhelm, Xiao Chengde and K. Yokoya Energy Efficiency and Choice of Parameters for Linear Colliders ...4 5 J. Clauss A Two-Stage RF Linear Colliders using a Superconducting Drive Linac ...*...*...*...** 67 \~. Schne 11 The Micro Lasertron. An Efficient Switched-Power Source of mm Wave 1 ength Radi at ion **. *. . *...*. *...*...*. 89 R. B. Palmer Collider Scaling and Cost Estimation ...** 105 R. B.