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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.
List of contents
Chapter 1. Quantum Mechanics Basic Concepts.
Chapter 2. Schrödinger Equation.
Chapter 3. Momentum Operator. Chapter 4. Total Angular Momentum.
Chapter 5. One-Dimensional Motion General Principles.
Chapter 6. Schrödinger Equation.
Chapter 7. Representation Theory.
Chapter 8. Quantum Mechanics Approximate Methods.
Chapter 9. Many-Particle System.
Chapter 10. Approximate Method for the Helium Atom.
Chapter 11. Approximate Method for the Hydrogen Molecule.
Chapter 12. Scattering Theory.
Chapter 13. Polaron Theory.
Chapter 14. Case of an Electron.
Chapter 15. Klein-Gordon Equation.
Chapter 16. Dirac Equation.
Chapter 17. Probability and Current Densities.
Chapter 18. Electron Spin in the Dirac Theory.
Chapter 19. Free Electron State with Defined Momentum-Positronium Motion.
Chapter 20. Dirac Equation.
Chapter 21. Motion in a Magnetic Field.
Chapter 22. Gamma Functions.
Chapter 23. Confluent Hypergeometric Functions.
Chapter 24. Cylindrical Functions.
Chapter 25. Orthogonal Polynomials
About the author
Lukong Cornelius Fai is professor of theoretical physics at the Department of Physics, Faculty of Sciences, University of Dschang. He is Head of Condensed Matter and Nanomaterials as well as 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 Masters of Science in Physics and Mathematics (June 1991) as well as a Doctor of Science in Physics and Mathematics (February 1997) from Moldova State University. He is an author of over a hundred and seventy scientific publications and five textbooks
Summary
This book provides an accessible treatment of non-relativistic and relativistic quantum mechanics.
