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UNDERSTANDING THESCHRÖDINGER EQUATIONSOME [NON]LINEAR PERSPECTIVES 3 UNDERSTANDING THESCHRÖDINGER EQUATIONSOME [NON]LINEAR PERSPECTIVES 5 CONTENTS 7 FOREWORD 9 PREFACE 11 ACKNOWLEDGMENTS 13 Chapter 1UNDERSTANDING THE SCHR ̈O DINGEREQUATION AS A KINEMATIC STATEMENT:A PROBABILITY-FIRST APPROACHTO QUANTUM 15 Abstract 15 1. INTRODUCTION 16 2. PROBABILITY THEORY 17 2.1. Measurement 19 3. KINEMATICS OF PROBABILITY DISTRIBUTIONS 20 4. QUANTUM THEORY VIA PROBABILITY 23 5. TRANSFORMATIONS OF THE QUANTUM PROBABILITY DENSITY DISTRIBUTIONS 26 6. THE SCHRODINGER EQUATION 28 7. OUTLOOK 30 REFERENCES 31 Chapter 2THE SCHR ̈O DINGER EQUATION WRITTENIN THE SECOND QUANTIZATIONFORMALISM: DERIVATION FROMFIRST PRINCIPLES 33 Abstract 33 1. INTRODUCTION 34 2. THE QUANTIZATION METHOD 36 3. QUANTIZATION OF A BOSONIC SYSTEM 38 3.1. Canonical Transformation 39 3.2. Quantization Process 41 3.3. Representations 44 4. QUANTIZATION OF A FERMIONIC SYSTEM 45 4.1. The Classical Representation of Half-Integral Spin 49 CONCLUSION 49 REFERENCES 50 Chapter 3SCHR ̈O DINGER EQUATIONAND NONLINEAR WAVES 51 Abstract 51 1. INTRODUCTION 52 2. WHY THE SCHR ̈O DINGER EQUATION BECAMEFAMOUS 52 3. WATER WAVES: GENERAL REMARKS 55 4.

Who reads Understanding the Schrödinger Equation Some [Non]Linear Perspectives?

Author

Valentino Simpao and Hunter C. Little (Editors)

Publisher

Nova Science

Published

2020

Language

EN

Category

nonfiction