Jоhn Wilеу & Sons, 2011. - 543 p.This book demystifies difficult concepts and views the subject, and explains key concepts and phenomena in the language of non-physics majors and with simple math, assuming no prior knowledge of the topic. This book is designed as a complete course in quantum mechanics for senior undergraduates and first-year graduate students in non-physics majors, and applies to courses such as modern physics, physical chemistry and nanotechnology.The book presents comprehensive coverage of quantum theory supported by experimental results and explained through applications and examples is presented without the use of abstract and complex mathematical tools and formalisms such as bra-ket vectors, Hilbert space, matrix algebra, or group theory. This book takes advantage of the amazing story of how quantum mechanics was developed. From there, the book: - Takes the mystery out of the Schrodinger equation, the fundamental equation of quantum physics, by applying it to atoms - Shows how quantum mechanics explains the periodic table of elements - Introduces the quantum mechanical concept of spin and spin quantum number, along with Pauli's Exclusion Principle regarding the occupation of quantum states - Addresses quantum states of molecules in terms of rotation and vibration of diatomic molecules - Explores the interface between classical statistical mechanics and quantum statistical mechanics - Discusses quantum mechanics as a common thread through different fields of nanoscience and nanotechnologyThe material is also accessible to scientists, engineers, and technologists working in the fields of computer science, biology, chemistry, engineering, and nanotechnology.Acknowledgments About the Author About the Tech Editor Periodic Table of the Elements Fundamental Physical Constants Important Combinations of Physical Constants Preface: Science, Nanotechnology, and Quantum Physics: Mind the Gap First, There Was Classical Physics Introduction Physics and Classical Physics The Classical World of Particles Physical Quantities Newton’s Laws of Motion Rotational Motion Superposition and Collision of Particles Superposition Collision and Scattering Classical World of Waves Periodic Waves Defining Wave Characteristics Reflection, Refraction, and Scattering Diffraction and Interference Diffraction Interference Equation of Wave Motion Light: Particle or Wave? Understanding Electricity Understanding Magnetism Magnetic Field Magnetic Flu Understanding Electromagnetism Types of Electromagnetic and Other Waves Electromagnetic Spectrum Maxwell’s Equations Confinement, Standing Waves, and Wavegroups Confinement Standing Waves Wavegroups Particles and Waves: The Big Picture The Four Fundamental Forces of Nature Gravitational Force Electromagnetic Force Weak and Strong Nuclear Forces Four Fundamental Forces: The Big Picture Unification: A Secret to Scientific and Technological Revolutions Special Theory of Relativity Classical Approach Separation of Particles and Waves: Either It Is a Particle or a Wave Either It Is Here or There: The Certainty The World Is Continuous: Any Value Within a Range Is Possible Common Grounds Among Particles and Waves: A Red Flag Summary Additional Problems Particle Behavior of Waves Introduction The Nature of Light: The Big Picture Black-Body Radiation The Classical Collapse The Quantum Rescue The Photoelectric Effect The Photoelectric Effect: The Experiment The Classical Collapse The Quantum Rescue X-Ray Diffraction The Compton Effect Living in the Quantum World Using Black-Body Radiation Using the Photoelectric Effect Using Compton Scattering Summary Additional Problems Wave Behavior of Particles Introduction Particles and Waves: The Big Picture The de Broglie Hypothesis Measuring the Wavelength of Electrons Quantum Confinement The Uncertainty Principle Understanding Particle Waves Understanding the Uncertainty Principle Another Form of the Uncertainty Principle Wave-Particle Duality of Nature Living in the Quantum World Seeing the Nanoworld with Electron Waves Seeing Nanostructures with the Diffraction of Particle Waves Using Atomic Waves to Navigate Your Way Summary Additional Problems Anatomy of an Atom Introduction Quantum Mechanics of an Atom: The Big Picture Dalton’s Atomic Theory The Structure of an Atom The Classical Collapse of an Atom The Quantum Rescue Bohr’s Model The Bohr Model Meets the Spectral Series Limitations of the Bohr Model Quantum Mechanics of an Atomic Structure Principle Energy Levels Sublevels Electron Orbitals Classical Physics or Quantum Physics: Which One Is the True Physics? Living in the Quantum World Free Electron Model for Pi Bonding Summary Additional Problems Principles and Formalism of Quantum Mechanics Introduction Here Comes Quantum Mechanics Wave Function: The Basic Building Block of Quantum Mechanics It Is All about Information Introducing Probability in Science Operators: The Information Extractors Predicting the Measurements Expectation Values Operators Put It All into an Equation Eigenfunctions and Eigenvalues Double Slit Experiment Revisited Double Slit Experiment for Particles Chasing the Electron The Quantum Reality Living in the Quantum World Summary Additional Problems The Anatomy and Physiology of an Equation Introduction The Schrödinger Wave Equation The Schrödinger Equation for a Free Particle Schrödinger Equation for a Particle in a Box Setting Up and Solving the Schrödinger Equation Here Comes the Energy Quantization Exploring the Solutions of the Schrödinger Equation The Uncertainty and Correspondence Principles: Revisited Quantum Mechanical Tunneling A Particle in a Three-Dimensional Box Harmonic Oscillator Understanding Harmonic Motion Harmonic Motion in Quantum Mechanics Understanding the Wave Functions of a Harmonic Oscillator Comparing Quantum Mechanical Oscillator with Classical Oscillator Living in the Quantum World Summary Additional Problems Quantum Mechanics of an Atom Introduction Applying the Schrödinger Equation to the Hydrogen Atom Solving the Schrödinger Equation for the Hydrogen Atom Separating the Variables in the Schrödinger Equation Solution of the Azimuthal Equation Solutions of the Angular Equation Solutions of the Radial Equation Solutions of the Schrödinger Equation for the Hydrogen Atom: Putting It All Together Finding the Electron Understanding the Quantum Numbers The Principal Quantum Number and Energy Radiations The Orbital Quantum Number Magnetic Quantum Number The Significance of Hydrogen Living in the Quantum World Summary Additional Problems Quantum Mechanics of Many-Electron Atoms Introduction Two Challenges to Quantum Mechanics: The Periodic Table and the Zeeman Effect The Periodic Table of Elements The Split Spectral Lines and the Zeeman Effect Introducing the Electron Spin Exclusion Principle Understanding the Atomic Structure Understanding Shells, Subshells, and Orbitals Understanding the Electron Confi guration of Atoms Understanding the Physical Basis of the Periodic Table General Trends Across Groups and Periods Alkalis and Alkaline Earths Transition Metals Inert Gases Halogens Lanthanides and Actinides Completing the Story of Angular Momentum Understanding the Zeeman Effect Living in the Quantum World Summary Additional Problems Quantum Mechanics of Molecules Introduction A System of Molecules in Motion Bond: The Atomic Bond Diatomic Molecules Rotational States of Molecules Vibrational States of Molecules Combination of Rotations and Vibrations Electronic States of Molecules Living in the Quantum World Summary Additional Problems Statistical Quantum Mechanics Introduction Statistical Distributions Maxwell–Boltzmann Distribution Molecular Systems with Quantum States Distribution of Vibrational Energies Vibrational Energy Population Probability of Vibrational States Correspondence with Classical Mechanics Distribution of Rotational Energies Rotational Energy Population Probability of Rotational States Correspondence with Classical Mechanics Distribution of Translational Energies Quantum Statistics of Distinguishable Particles: Putting It All Together Quantum Statistics of Indistinguishable Particles Planck’s Radiation Formula Absorption, Emission, and Lasers Bose–Einstein Condensation Living in the Quantum World Summary Additional Problems Quantum Mechanics: A Thread Runs through It all Introduction Nanoscience and Nanotechnology Sciences behind Nanoscience You Need to See Them before You Could Control Them Nanoscale Quantum Confi nement of Matter Buckyballs Carbon Nanotubes Nanocrystals Quantum Dots Quantum Mechanics for Nanostructures Favoring Balls and Tubes Fruits of Quantum Confi nement Quick Overview of Microelectronics Microelectronics: A Hindsight Basics of Microchips Quantum Computing Quantum Biology Four Fundamental Nanostructures of Life Central Dogma of Molecular Biology Sizes of Biological Particles Diving Deeper into the Cell with Quantum Mechanics Exploring the Interface of Classical Mechanics and Quantum Mechanics Living in the Quantum World Summary Additional Problems Bibliography Index
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