This volume is devoted to the use of the quantum-like description that has been successful in describing numerous physical scenarios in many branches of physics, including the dynamics of charged particle beams in accelerators and the propagation of electromagnetic wave energy in nonlinear media such as plasmas and optical fibres. The quantum-like approach seems, therefore, to form a common basis for understanding the observations in many diverse field of science. This volume is intended for use by graduate students and researchers in high energy physics and mathematical physics.