1st Edition

Quantum Mechanics Non-Relativistic and Relativistic Theory

By Lukong Cornelius Fai Copyright 2022
    552 Pages 37 B/W Illustrations
    by CRC Press

    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