Introduction to Quantum Mechanics
in Chemistry, Materials Science, and Biology
- 1st Edition - June 7, 2004
- Author: Sy M. Blinder
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 1 0 6 0 5 1 - 0
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 4 8 9 2 8 - 5
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… Read more
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.
- 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
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.
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
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
- Edition: 1
- Published: June 7, 2004
- Language: English
SB
Sy M. 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, USARead Introduction to Quantum Mechanics on ScienceDirect