Quantum mechanics demystified

Quantum mechanics demystified

David McMahon

Book - 2006

Saved in:
Place a Hold Save to List Email this

2nd Floor Show me where

530.12/McMahon
1 / 1 copies available
Location Call Number   Status
2nd Floor 530.12/McMahon Checked In
Subjects
Quantum theory.
Mechanics.
Published
New York : McGraw-Hill 2006.
Language
English
Main Author
David McMahon (-)
Physical Description
xi, 393 pages : illustrations ; 24 cm
Bibliography
Includes bibliographical references (page 385) and index.
ISBN
9780071455466
  • Preface
  • Acknowledgments
  • Chapter 1. Historical Review
  • Blackbody Radiation and Planck's Formula
  • The Photoelectric Effect
  • The Bohr Theory of the Atom
  • de Broglie's Hypothesis
  • Quiz
  • Chapter 2. Basic Developments
  • The Schrodinger Equation
  • Solving the Schrodinger 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
  • Quiz
  • Chapter 3. The Time Independent Schrodinger Equation
  • The Free Particle
  • Bound States and 1-D Scattering
  • Parity
  • Ehrenfest Theorem
  • Quiz
  • Chapter 4. An Introduction to State Space
  • Basic Definitions
  • Hilbert Space Definitions
  • Quiz
  • Chapter 5. The Mathematical Structure of Quantum Mechanics I
  • Linear Vector Spaces
  • Basis Vectors
  • Expanding a Vector in Terms of a Basis
  • Orthonormal Sets and the Gram-Schmidt Procedure
  • Dirac Algebra with Bras and Kets
  • Finding the Expansion Coefficients in the Representation of Bras and Kets
  • Quiz
  • Chapter 6. The Mathematical Structure of Quantum Mechanics II
  • The Representation of an Operator
  • Eigenvalues and Eigenvectors
  • The Hermitian Conjugate of an Operator
  • The Commutator
  • Quiz
  • Chapter 7. The Mathematical Structure of Quantum Mechanics III
  • Change of Basis and Unitary Transformations
  • The Generalized Uncertainty Relation
  • Projection Operators
  • Functions of Operators
  • Generalization to Continuous Spaces
  • Quiz
  • 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 Schrodinger 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
  • Quiz
  • Chapter 9. The Harmonic Oscillator
  • The Solution of the Harmonic Oscillator in the Position Representation
  • The Operator Method for the Harmonic Oscillator
  • Number States of the Harmonic Oscillator
  • More on the Action of the Raising and Lowering Operators
  • Quiz
  • Chapter 10. Angular Momentum
  • The Commutation Relations of Angular Momentum
  • The Uncertainty Relations for Angular Momentum
  • Generalized Angular Momentum and the Ladder Operators
  • Matrix Representations of Angular Momentum
  • Coordinate Representation of Orbital Angular Momentum and the Spherical Harmonics
  • Quiz
  • Chapter 11. Spin-1/2 Systems
  • The Stern-Gerlach Experiment
  • The Basis States for Spin-1/2 Systems
  • Using the Ladder Operators to Construct S[subscript x], S[subscript y]
  • 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
  • Quiz
  • Chapter 12. Quantum Mechanics in Three Dimensions
  • The 2-D Square Well
  • An Overview of a Particle in a Central Potential
  • An Overview of the Hydrogen Atom
  • Quiz
  • Final Exam
  • Answers to Quiz and Exam Questions
  • References
  • Index

Similar Items