In the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems.The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the second part. In the final part, extensive applications of this theory in physics, biology and polymer are introduced. The whole volume forms a complete system of nonlinear quantum mechanics.The book is intended for researchers, graduate students as well as upper-level undergraduates.Contents:Linear Quantum Mechanics: Its Successes and ProblemsMacroscopic Quantum Effects and Motions of Quasi-ParticlesThe Fundamental Principles and Theories of Nonlinear Quantum MechanicsWave-Corpuscle Duality of Microscopic Particles in Nonlinear Quantum MechanicsNonlinear Interaction and Localization of ParticlesNonlinear versus Linear Quantum MechanicsProblem Solving in Nonlinear Quantum MechanicsMicroscopic Particles in Different Nonlinear SystemsNonlinear Quantum-Mechanical Properties of Excitons and PhononsProperties of Nonlinear Excitations and Motions of Protons, Polarons and Magnons in Different SystemsReadership: Graduates and researchers in the fields of nonlinear science, quantum, theoretical and condensed matter physics.