Preface

**Chapter 8 139**

**Chapter 9 161**

Applications **189**

**Chapter 10 191**

**Chapter 11 209**

**Chapter 12 245**

Nature of Temporal (t > 0) Quantum Theory: Part I

Nature of Temporal (t > 0) Quantum Theory: Part II

Analysis of Quantum Confinement and Carrier Transport

Development of Supersymmetric Background/Local Gauge Field Theory of Nucleon Based on Coupling of Electromagnetism with the Nucleon's Background Space-Time Frame: The Physics beyond

of Nano-Transistor in Quantum Mechanics *by Aynul Islam and Anika Tasnim Aynul*

Realization of the Quantum Confinement

*by Francis T.S. Yu*

*by Francis T.S. Yu*

the Standard Model *by Aghaddin Mamedov*

*by Eugen M. Sheregii*

**II**

**Section 3**

Quantum mechanics has been remarkably successful at accounting for physical phenomena at very small scales. The area of quantum mechanics has become a fundamental part of modern physics and hence a very intensive subject for research. It is applicable to physical situations where matter can be studied on very small scales from atoms and molecules to physics of the solid state and elementary particles. It has also generated new areas of physics in its wake that require quantum mechanics for their understanding, such as Bose Einstein condensation and the quantum Hall effect.

This book presents 12 solid contributions that illustrate the range and diversity of topics in quantum mechanics. Of these 12 chapters, three reference solvable models such as hyperfine structure interactions. Other chapters cover some foundational issues such as complex space forms of quantum mechanics, entropy in quantum mechanics, and equations of relativistic quantum mechanics. The final chapters examine applications of quantum mechanics to more complicated situations. As illustrated by this book, the scope, influence, and domain of applicability of quantum mechanics have become very widespread.

This book is a result of the hard work of an international group of invited authors. It is a pleasure to thank them for their efforts and scientific contributions. I am grateful to acknowledge with many thanks the assistance of Mr Mateo Pulko who was the publishing coordinator and manager throughout the production process of this book. It is also a pleasure to thank IntechOpen for the opportunity to work on this volume, which serves to further study the fascinating subject of quantum mechanics.

> **Paul Bracken** Professor, Department of Mathematics, University of Texas, USA

Section 1

Solvable Systems

**1**
