Introduction to Quantum Mechanics

Introduction to Quantum Mechanics

in Chemistry, Materials Science, and Biology

1st Edition - June 7, 2004

Write a review

  • Author: Sy Blinder
  • eBook ISBN: 9780080489285
  • Paperback ISBN: 9780121060510

Purchase options

Purchase options
DRM-free (PDF)
Available
Sales tax will be calculated at check-out

Institutional Subscription

Free Global Shipping
No minimum order

Description

Introduction to Quantum Mechanics provides a lucid, up-to-date introduction to the principles of quantum mechanics at the level of undergraduates and first-year graduate students in chemistry, materials science, biology and related fields. It shows how the fundamental concepts of quantum theory arose from classic experiments in physics and chemistry, and presents the quantum-mechanical foundations of modern techniques including molecular spectroscopy, lasers and NMR. Blinder also discusses recent conceptual developments in quantum theory, including Schrödinger's Cat, the Einstein-Podolsky-Rosen experiment, Bell's theorem and quantum computing.

Key Features

  • Clearly presents the basics of quantum mechanics and modern developments in the field
  • Explains applications to molecular spectroscopy, lasers, NMR, and MRI
  • Introduces new concepts such as Schrödinger's Cat, Bell's Theorem, and quantum computing
  • Includes full-color illustrations, proven pedagogical features, and links to online materials

Readership

Appropriate introduction to Quantum Mechanics for students in Physical Chemistry, Materials Science, Engineering, and biological sciences. Will be of interest to students, faculty, and lay readers who want a concise but correct discussion of the general concepts of QM.

Table of Contents

  • Preface
    1. ATOMS AND PHOTONS
    1.1 Atomic and Subatomic Particles
    1.2 Electromagnetic Waves
    1.3 Three Failures of Classical Physics
    1.4 Blackbody Radiation
    1.5 The Photoelectric Effect
    1.6 Line Spectra
    1A. Maxwell's Equations
    1B. Planck Radiation Law
    2. WAVES AND PARTICLES
    2.1 Double-Slit Experiment
    2.2 Wave-Particle Duality
    2.3 The Schrƒodinger Equation
    2.4 Operators and Eigenvalues
    2.5 The Wavefunction Exercises
    3 SIMPLE SYSTEMS
    3.1 Free Particle
    3.2 Particle in a Box
    3.3 Free-Electron Model
    3.4 Three-Dimensional Box
    Exercises
    4. PRINCIPLES OF QUANTUM MECHANICS
    4.1 Hermitian Operators
    4.2 Eigenvalues and Eigenfunctions
    4.3 Expectation Values
    4.4 More on Operators
    4.5 Postulates of Quantum Mechanics
    4.6 Dirac Notation
    4.7 Variational Principle
    4.8 Spectroscopic Transitions
    4A. Radiative Transitions Exercises
    5. HARMONIC OSCILLATOR
    5.1 Classical Oscillator
    5.2 Quantum Harmonic Oscillator
    5.3 Eigenfunctions and Eigenvalues
    5.4 Operator Formulation
    5.5 Quantum Theory of Radiation
    5A. Gaussian Integrals
    5B. Hermite Polynomials
    Exercises
    6. ANGULAR MOMENTUM
    6.1 Particle in a Ring
    6.2 Free Electron Model
    6.3 Spherical Polar Coordinates
    6.4 Rotation in Three Dimensions
    6.5 Theory of Angular Momentum
    6.6 Electron Spin
    6.7 Addition of Angular Momenta
    6A. Curvilinear Coordinates
    6B. Spherical Harmonics
    6C. Pauli Spin Algebra
    7. HYDROGEN ATOM
    7.1 Atomic Spectra
    7.2 The Bohr Atom
    7.3 Hydrogenlike Atoms
    7.4 Ground State
    7.5 Atomic Orbitals
    7.6 p- and d-Orbitals
    7.7 Summary on Atomic Orbitals
    7.8 Reduced Mass
    7A. Laguerre Polynomials
    Exercises
    8. HELIUM ATOM
    8.1 Experimental Energies
    8.2 Variational Calculations
    8.3 Spinorbitals and the Exclusion Principle
    8.4 Excited States of Helium
    Exercises
    9. ATOMIC STRUCTURE
    9.1 Slater Determinants
    9.2 Aufbau Principles
    9.3 Atomic Configurations and Term Symbols
    9.4 Periodicity of Atomic Properties
    9.5 Relativistic Effects
    9.6 Spiral Periodic Table
    9.7 Self-Consistent Field
    Exercises
    10. THE CHEMICAL BOND
    10.1 The Hydrogen Molecule
    10.2 Valence Bond Theory
    10.3 Molecular Geometry
    10.4 Hypervalent Compounds
    10.5 Valence-Shell Model
    10.6 Transition Metal Complexes
    10.7 The Hydrogen Bond
    10.8 Critique of Valence-Bond Theory
    Exercises
    11. DIATOMIC MOLECULE ORBITALS
    11.1 Hydrogen Molecule-Ion
    11.2 LCAO Approximation
    11.3 Homonuclear Diatomics
    11.4 Variational Computations
    11.5 Heteronuclear Molecules
    11.6 Electronegativity Exercises
    12. POLYATOMIC MOLECULES
    12.1 Hƒuckel MO's
    12.2 Woodward-HoÆmann
    12.3 Metals and Semiconductors
    12.4 Computational Chemistry
    12.5 Density Functional Theory
    Exercises
    13. MOLECULAR SYMMETRY
    13.1 The Ammonia Molecule
    13.2 Group Theory
    13.3 Quantum Mechanics
    13.4 Molecular Orbitals for Ammonia
    13.5 Selection Rules
    13.6 The Water Molecule
    13.7 Walsh Diagrams
    13.8 Molecular Symmetry Groups
    13.9 Dipole Moments and Optical Activity
    13.10 Character tables Exercises
    14. MOLECULAR SPECTROSCOPY
    14.1 Vibration of Diatomic Molecules
    14.2 Vibration of Polyatomic Molecules
    14.3 Rotation of Diatomic Molecules
    14.4 Rotation-Vibration Spectra
    14.5 Molecular Parameters from Spectroscopy
    14.6 Rotation of Polyatomic Molecules
    14.7 Electronic Excitations
    14.8 Lasers
    14.9 Raman Spectroscopy
    Exercises
    15. NUCLEAR MAGNETIC RESONANCE
    15.1 Magnetic Properties of Nuclei
    15.2 Nuclear Magnetic Resonance
    15.3 The Chemical Shift
    15.4 Spin-Spin Coupling
    15.5 Mechanism for Spin-Spin Interactions
    15.6 Magnetization and Relaxation Processes
    15.7 Pulse Techniques and Fourier Transforms
    15.8 Two-Dimensional NMR
    15.9 Magnetic Resonance Imaging
    Exercises
    16. WONDERS OF THE QUANTUM WORLD
    16.1 The Copenhagen Interpretation
    16.2 Superposition
    16.3 Schrƒodinger's Cat
    16.4 Einstein-Podolsky-Rosen Experiment
    16.5 Bell's Theorem
    16.6 Aspect's Experiment
    16.7 Multiple Photon Entanglement
    16.8 Quantum Computers
    Exercises
    Suggested References
    Answers to Exercises

Product details

  • No. of pages: 319
  • Language: English
  • Copyright: © Academic Press 2004
  • Published: June 7, 2004
  • Imprint: Academic Press
  • eBook ISBN: 9780080489285
  • Paperback ISBN: 9780121060510

About the Author

Sy Blinder

Professor Blinder is Professor Emeritus of Chemistry and Physics at the University of Michigan, Ann Arbor and a senior scientist with Wolfram Research Inc., Champaign, IL.. After receiving his A.B. in Physics and Chemistry from Cornell University, he went on to receive an A. M in Physics, and a Ph. D. in Chemical Physics from Harvard University under Professors W. E. Moffitt and J. H. Van Vleck. He has held positions at Johns Hopkins University, Carnegie-Mellon University, Harvard University, University College London, Centre de Méchanique Ondulatoire Appliquée in Paris, the Mathematical Institute in Oxford, and the University of Michigan. Prof Blinder has won multiple awards for his work, published 4 books, and over 100 journal articles. His research interests include Theoretical Chemistry, Mathematical Physics, applications of quantum mechanics to atomic and molecular structure, theory and applications of Coulomb Propagators, structure and self-energy of the electron, supersymmetric quantum field theory, connections between general relativity and quantum mechanics.

Affiliations and Expertise

Professor Emeritus of Chemistry and Physics at the University of Michigan, USA, and Senior Scientist with Wolfram Research, Illinois, USA

Ratings and Reviews

Write a review

There are currently no reviews for "Introduction to Quantum Mechanics"