## Book description

If you think projection operators work in the cinema, or learning about spin-1/2 makes your head, well, spin, Quantum Mechanics DeMYSTiFieD will energize your knowledge of this topic's fundamental concepts and theories, and allow you to learn at your own pace.

This thoroughly revised and updated guide eases you into the subject, beginning with wave mechanics then introducing you to the mathematical foundations needed to do modern quantum physics. As you progress, you will learn the fundamentals of matrix mechanics, including how to compute the trace of a matrix, find eigenvalues, and use ladder operators. You will understand the difference between time independent perturbation and time dependent perturbation theory and other oncecomplicated concepts. Detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas.

It's a no-brainer! You'll learn about:

• State Space
• Basis Vectors
• Functions of Operators
• The Postulates of Quantum Mechanics
• Angular Momentum
• Spin and the Pauli Matrices
• Scattering Theory

Simple enough for a beginner, but challenging enough for an advanced student, Quantum Mechanics DeMYSTiFieD, Second Edition is your shortcut to a working knowledge of this engaging science.

1. Cover
2. Title Page
5. Contents
6. Introduction
7. Chapter 1: Historical Review
1. Blackbody Radiation and Planck’s Formula
2. The Photoelectric Effect
3. The Bohr Theory of the Atom
4. de Broglie’s Hypothesis
5. Summary
6. Quiz
8. Chapter 2: Basic Developments
9. Chapter 3: The Time-Independent Schrödinger Equation
10. Chapter 4: An Introduction to Hilbert Space
1. Basic Definitions
2. Hilbert Space Definitions
3. Summary
4. Quiz
11. Chapter 5: The Mathematical Structure of Quantum Mechanics I
1. Linear Vector Spaces
2. Basis Vectors
3. Expanding a Vector in Terms of a Basis
4. Orthonormal Sets and the Gram-Schmidt Procedure
5. Dirac Algebra with Bras and Kets
6. Finding the Expansion Coefficients in the Representation of Bras and Kets
7. Quiz
12. Chapter 6: The Mathematical Structure of Quantum Mechanics II
1. Linear Operators
2. The Representation of an Operator
3. Eigenvalues and Eigenvectors
4. The Hermitian Conjugate of an Operator
5. The Commutator
6. Quiz
13. Chapter 7: The Mathematical Structure of Quantum Mechanics III
14. Chapter 8: The Foundations of Quantum Mechanics
1. The Postulates of Quantum Mechanics
2. Spectral Decomposition
3. Projective Measurements
4. The Completeness Relation
5. Completely Specifying a State with a CSCO
6. The Heisenberg versus Schrödinger Pictures
7. Describing Composite Systems in Quantum Mechanics
8. The Matrix Representation of a Tensor Product
9. The Tensor Product of State Vectors
10. The Density Operator
11. The Density Operator for a Completely Mixed State
12. A Brief Introduction to the Bloch Vector
13. Summary
14. Quiz
15. Chapter 9: The Harmonic Oscillator
16. Chapter 10: Angular Momentum
1. The Commutation Relations of Angular Momentum
2. The Uncertainty Relations for Angular Momentum
3. Generalized Angular Momentum and the Ladder Operators
4. Matrix Representations of Angular Momentum
5. Coordinate Representation of Orbital Angular Momentum and the Spherical Harmonics
6. Summary
7. Quiz
17. Chapter 11: Spin-1/2 Systems
18. Chapter 12: Quantum Mechanics in Three Dimensions
19. Chapter 13: Identical Particles
20. Chapter 14: Time-Independent Perturbation Theory
21. Chapter 15: Applications of Perturbation Theory to the Hydrogen Atom
22. Chapter 16: Time-Dependent Perturbation Theory
23. Chapter 17: Scattering
24. Final Exam
25. Answers to Quiz and Exam Questions
26. Index

## Product information

• Title: Quantum Mechanics Demystified, 2nd Edition, 2nd Edition
• Author(s): David McMahon
• Release date: May 2013
• Publisher(s): McGraw-Hill
• ISBN: 9780071765640