Nonlinear Quantum Mechanics and its Applications


Pang Xiao Feng
Institute of Life Science and Technology, University of Electronic Science and Technology of China, Sichuan, China

Series: Classical and Quantum Mechanics
BISAC: SCI057000

This book describes complete nonlinear quantum mechanics, in which the fundamental and necessity theoretical principle and wave-corpuscle duality of microscopic particles were the foundation of this principle and its experimental evidences, the mechanisms of generation of the nonlinear interactions and its effects, as well as the methods solving nonlinear quantum mechanical problems, its distinctions with linear quantum mechanics and early nonlinear quantum mechanical idea and models, the completeness and correctness and universality of new theory as well as its applications in different systems containing polymers, physical and biological systems, which are exhibited in this book.

Plenty of interesting results of these systems and a large number of novel properties of microscopic particles including the electron, proton, phonon, photon, exciton, polaron, magnon and Boson involving their localizations and classical features are stated in detail. This book is intended for researchers, teachers, graduate students, and upper level undergraduate students.
(Imprint: Nova)



Table of Contents


Chapter 1 – The Wave-Corpuscle Duality of Microscopic Particles and Difficulties of Quantum Mechanics (pp. 1-28)

Chapter 2 – Proposal and Build of Different Nonlinear Quantum Mechanical Models and Theories (pp. 29-88)

Chapter 3 – The Wave-Corpuscle Duality of Microscopic Particles in Nonlinear Quantum Mechanics and Its Experimental Evidences (pp. 89-164)

Chapter 4 – The Differences of Nonlinear Quantum Mechanics from Linear Quantum Mechanics As Well As the Effects and Mechanism of Generation of Nonlinear Interaction (pp. 165-232)

Chapter 5 – The Nonlinear Quantum Properties of the Exciton and Its Experimental Confirmation in Molecular Crystals (pp. 233-282)

Chapter 6 – The Nonlinear Quantum Mechanical Features of Boson-Einstein Condensed States (pp. 283-328)

Chapter 7 – Nonlinear Quantum Dynamic Properties of Electrons and Polarons in Atoms and Condensed-State Systems (pp. 329-406)

Chapter 8 – Nonlinear Quantum-Mechanical Properties of the Magnons in the Spin-Spin Interaction Systems (pp. 407-454)


This book is good text-book, teaching book, reference book and scientific literature for the researchers, teachers, engineers, graduate students as well as upper-level undergraduates.

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