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Fai L. Quantum Mechanics. Non-Relativistic...Relat...Theory 2022
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Textbook in PDF format

This bookpresents 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
Non-Relativistic Theory
Quantum Mechanics Basic Concepts
Schrödinger Equation
Momentum Operator
Total Angular Momentum
One-Dimensional Motion General Principles
Schrödinger Equation
Representation Theory
Quantum Mechanics Approximate Methods
Many-Particle System
Approximate Method for the Helium Atom
Approximate Method for the Hydrogen Molecule
Scattering Theory
Polaron Theory
Relativistic Theory
Case of an Electron
Klein-Gordon Equation
Dirac Equation
Probability and Current Densities
Electron Spin in the Dirac Theory
Free Electron State with Defined Momentum-Positronium Motion
Motion in a Magnetic Field
Appendix: Special Functions
Gamma Functions
Confluent Hypergeometric Functions
Cylindrical Functions
Orthogonal Polynomials

Fai L. Quantum Mechanics. Non-Relativistic...Relat...Theory 2022.pdf24.63 MiB