- Cover
- Title Page
- Copyright Page
- About the Author
- Contents
- Introduction
- Chapter 1: Historical Review
- Chapter 2: Basic Developments
- The Schrödinger Equation
- Solving the Schrödinger Equation
- The Probability Interpretation and Normalization
- Expansion of the Wavefunction and Finding Coefficients
- The Phase of a Wavefunction
- Operators in Quantum Mechanics
- Momentum and the uncertainty Principle
- The Conservation of Probability
- Summary
- Quiz
- Chapter 3: The Time-Independent Schrödinger Equation
- Chapter 4: An Introduction to Hilbert Space
- Chapter 5: The Mathematical Structure of Quantum Mechanics I
- Chapter 6: The Mathematical Structure of Quantum Mechanics II
- Chapter 7: The Mathematical Structure of Quantum Mechanics III
- Chapter 8: The Foundations of Quantum Mechanics
- The Postulates of Quantum Mechanics
- Spectral Decomposition
- Projective Measurements
- The Completeness Relation
- Completely Specifying a State with a CSCO
- The Heisenberg versus Schrödinger Pictures
- Describing Composite Systems in Quantum Mechanics
- The Matrix Representation of a Tensor Product
- The Tensor Product of State Vectors
- The Density Operator
- The Density Operator for a Completely Mixed State
- A Brief Introduction to the Bloch Vector
- Summary
- Quiz
- Chapter 9: The Harmonic Oscillator
- Chapter 10: Angular Momentum
- Chapter 11: Spin-1/2 Systems
- The Stern-Gerlach Experiment
- The Basis States for Spin-1/2 Systems
- Using the Ladder Operators to Construct Sx, Sy
- Unitary Transformations for Spin-1/2 Systems
- The Outer Product Representation of the Spin Operators
- The Pauli Matrices
- The Time Evolution of Spin-1/2 States
- The Density Operator for Spin-1/2 Systems
- Summary
- Quiz
- Chapter 12: Quantum Mechanics in Three Dimensions
- Chapter 13: Identical Particles
- Chapter 14: Time-Independent Perturbation Theory
- Chapter 15: Applications of Perturbation Theory to the Hydrogen Atom
- Chapter 16: Time-Dependent Perturbation Theory
- Chapter 17: Scattering
- Final Exam
- Answers to Quiz and Exam Questions
- Index
Quantum Mechanics
DeMYSTiFieD®
David McMahon
Second Edition
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