Complex Mechanics ~ An Unified Mechanics

    Prof. Yang wrote a text book to introduce complex mechanics and its applications in recent years. There are three editions, and now reader can download is the latest one, which has been used as a text book in the course of engineering  quantum mechanics in department of aeronautics and astronautics in National Cheng Kung University since 2006 up to now.

Preface to the frist edition

    This book gives a thorough investigation on formulating and solving quantum mechanical problems by the complex-extended analytical mechanics that extends canonical variables to complex domain....

Preface to the second edition

       A teaching challenge: How to Teach Quantum Mechanics Fully with Engineering Mechanics....

Contents

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Chapter 1 Classical and Quantum Mechanics: A Brief Review

1.1              Principle of Least Action and Lagrange Mechanics                                                                     

1.2              Hamilton Mechanics                                                                                                                  

1.3              Canonical Transformation and Hamilton-Jacobi Equation                                                            

1.4              Separable Solution of Hamilton-Jacobi Equation                                                                       

1.5              Schrodinger Equation and Born Interpretation                                                                          

1.6              Expectation Operations                                                                                                            

1.7              Particles in One-Dimensional Box                                                                                            

1.8              Tunneling Phenomena                                                                                                               

1.9       Problems

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Chapter 2 Motion in Complex Space

2.1              Literature Survey                                                                                                                     

2.2              Motions in Complex Space                                                                                                      

2.3              Physical Laws in Complex Domain                                                                                           

2.4              Multiple-Path Behavior                                                                                                            

2.5              Comparison with Bohmian Mechanics                                                                                      

2.6              Complex Variables with Memory                                                                                             

2.7              Chapter Summary                                                                                                                    

2.8              Problems       

Chapter 3 Foundations of Complex Mechanics

3.1 Quantum Hamilton Mechanics                                                                                                         

3.2 Dynamical Representation of Quantum State                                                                                    

3.3 Complex Variables and Quantum Operators                                                                                     

3.4 Orbital and Spin Angular Momentum                                                                                               

3.5 Complex Hamiltonian and Complex Energy                                                                                      

3.6 Chapter Summary

3.7 Problems

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Chapter 4 Quantum Oscillators