Rajasekar S., Velusamy R. Quantum Mechanics I: The Fundamentals

CRC Press, 2015. — 586 p.Quantum Mechanics I: The Fundamentals provides a graduate-level account of the behavior of matter and energy at the molecular, atomic, nuclear, and sub-nuclear levels. It covers basic concepts, mathematical formalism, and applications to physically important systems. A collection of problems at the end of each chapter develops students’ understanding of both basic concepts and the application of theory to various physically important systems. This book, along with the authors’ follow-up Quantum Mechanics II: Advanced Topics, provides students with a broad, up-to-date introduction to quantum mechanics.Why Was Quantum Mechanics Developed?
Schrödinger Equation and Wave Function.
Operators, Eigenvalues, and Eigenfunctions.
Exactly Solvable Systems I: Bound States.
Exactly Solvable Systems II: Scattering States.
Matrix Mechanics.
Various Pictures and Density Matrix.
Heisenberg Uncertainty Principle.
Momentum Representation.
Wave Packet.
Theory of Angular Momentum.
Hydrogen Atom.
Approximation Methods I: Time-Independent Perturbation Theory.
Approximation Methods II: Time-Dependent Perturbation Theory.
Approximation Methods III: WKB and Asymptotic Methods.
Approximation Methods IV: Variational Approach.
Scattering Theory.
Identical Particles.
Relativistic Quantum Theory.
Mysteries in Quantum Mechanics.
Numerical Methods for Quantum Mechanics.