Quantum Physics: Volume 1: From Basics to Symmetries and Perturbations

This two-volume set, naturally divided into two semester parts, contains a full modern graduate course in quantum physics. The idea is to teach graduate students how to practically use quantum theory by presenting the fundamental knowledge and gradually moving on to broad applications, including atomic, nuclear, relativistic and many-body physics, as well as subfields of current interest, such as quantum chaos and quantum entanglement. The author discusses topics that are not usually covered in standard textbooks and has written the book in such a way that every subject contains varying layers of difficulty, so that the instructor can decide where to stop. Problems and solutions are integrated throughout the text.

From the contents:

• Origin of Main Quantum Concepts
• Wave Function and the Simplest Problems
• Bound States
•   Dynamical Variables
• Uncertainty Relations
• Hilbert Space and Operators
• Quantum Dynamics
• Discrete Symmetries
• One-Dimensional Motion: Continuum
• Variational Approach and Diagonalization
• Discrete Spectrum and Harmonic Oscillator
• Coherent and Squeezed States
• Introducing Magnetic Field
• Macroscopic Quantum Coherence
• Semiclassical (WKB) Approximation
• Angular Momentum and Spherical Functions
• Motion in a Central Field
• Hydrogen Atom
• Stationary Perturbations
• Spin ½
• Finite Rotations and Tensor Operators
• Angular Momentum Coupling
• Fine and Hyperfine Structure
• Atom in a Static Field