1st Edition
Quantum Mechanics Non-Relativistic and Relativistic Theory
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.
Chapter 1
Non-Relativistic Theory
Chapter 2
Schrodinger Equation
Chapter 3
Momentum Operator
Chapter 4
Total Angular Momentum
Chapter 5
One-Dimensional Motion General Principles
Chapter 6
Schrodinger 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
Relativistic Theory
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
Biography
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