ABSTRACT
This book presents an accessible treatment of non-relativistic and relativistic quantum mechanics. It is an ideal textbook for undergraduate and graduate physics students, and is also useful to researchers in theoretical physics, quantum mechanics, condensed matter, mathematical physics, quantum chemistry, and electronics.
This student-friendly and self-contained textbook covers the typical topics in a core undergraduate program, as well as more advanced, graduate-level topics with an elegant mathematical rigor, contemporary style, and rejuvenated approach. It balances theory and worked examples, which reinforces readers' understanding of fundamental concepts.
The analytical methods employed in this book describe physical situations with mathematical rigor and in-depth clarity, emphasizing the essential understanding of the subject matter without need for prior knowledge of classical mechanics, electromagnetic theory, atomic structure, or differential equations.
Key Features:
• Remains accessible but incorporates a rigorous, updated mathematical treatment
• Laid out in a student-friendly structure
• Balances theory with its application through examples
Lukong Cornelius Fai is a professor of theoretical physics at the Department of Physics, Faculty of Sciences, University of Dschang, Cameroon. He is Head of Condensed Matter and Nanomaterials as well as the Mesoscopic and Multilayer Structures Laboratory. He was formerly a senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Master of Science in Physics and Mathematics (1991) as well as a Doctor of Science in Physics and Mathematics (1997) from Moldova State University. He is the author of over 170 scientific publications and five textbooks.
TABLE OF CONTENTS
section I|380 pages
Non-Relativistic Theory
chapter 21|38 pages
Quantum Mechanics Basic Concepts
chapter 2|28 pages
Schrödinger Equation
chapter 3|44 pages
Momentum Operator
chapter 4|34 pages
Total Angular Momentum
chapter 5|16 pages
One-Dimensional Motion General Principles
chapter 6|44 pages
Schrödinger Equation
chapter 7|28 pages
Representation Theory
chapter 8|42 pages
Quantum Mechanics Approximate Methods
chapter 9|16 pages
Many-Particle System
chapter 10|6 pages
Approximate Method for the Helium Atom
chapter 11|6 pages
Approximate Method for the Hydrogen Molecule
chapter 12|50 pages
Scattering Theory
chapter 13|26 pages
Polaron Theory
section II|84 pages
Relativistic Theory
chapter 38214|16 pages
Case of an Electron
chapter 15|10 pages
Klein-Gordon Equation
chapter 16|4 pages
Dirac Equation
chapter 17|2 pages
Probability and Current Densities
chapter 18|4 pages
Electron Spin in the Dirac Theory
chapter 19|6 pages
Free Electron State with Defined Momentum-Positronium Motion
chapter 20|18 pages
Dirac Equation
chapter 21|22 pages
Motion in a Magnetic Field
section III|66 pages
Appendix: Special Functions