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Quantum Physics for Dummies by Holzner Steven

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Quantum Physics for Dummies written by Holzner Steven Quantum Physics For Dummies, Revised Edition helps make quantum physics understandable and accessible. From what quantum physics can do for the world to understanding hydrogen atoms, readers will get Read more.

Quantum Physics for Dummies written by Holzner Steven cover the following topics.

  • Introduction
    About This Book
    Conventions Used in This Book
    Foolish Assumptions
    How This Book Is Organized

  • Part I: Small World, Huh? Essential Quantum Physics

  • 1: Discoveries and Essential Quantum Physics
    Being Discrete: The Trouble with Black-Body Radiation
    First attempt: Wien’s Formula
    Second attempt: Rayleigh-Jeans Law
    An intuitive (quantum) leap: Max Planck’s spectrum
    The First Pieces: Seeing Light as Particles
    Solving the photoelectric effect
    Scattering light off electrons: The Compton effect
    Proof positron? Dirac and pair production
    A Dual Identity: Looking at Particles as Waves
    You Can’t Know Everything (But You Can Figure the Odds)
    The Heisenberg uncertainty principle
    Rolling the dice: Quantum physics and probability

  • 2: Entering the Matrix: Welcome to State Vectors
    Creating Your Own Vectors in Hilbert Space
    Making Life Easier with Dirac Notation
    Abbreviating state vectors as kets
    Writing the Hermitian conjugate as a bra
    Multiplying bras and kets: A probability of 1
    Covering all your bases: Bras and kets as basis-less
    state vectors
    Understanding some relationships using kets
    Grooving with Operators
    Hello, operator: How operators work
    I expected that: Finding expectation values Looking at linear operators
    Going Hermitian with Hermitian Operators and Adjoints
    Forward and Backward: Finding the Commutator Commuting
    Finding anti-Hermitian operators
    Starting from Scratch and Ending Up with Heisenberg
    Eigenvectors and Eigenvalues: They’re Naturally Eigentastic!
    Understanding how they work
    Finding eigenvectors And Eigenvalues
    Preparing for the Inversion: Simplifying with Unitary Operators
    Comparing Matrix and Continuous Representations
    Going continuous with calculus
    Doing the wave

  • Part II: Bound and Undetermined: Handling Particles in Bound States

  • 3: Getting Stuck in Energy Wells
    Looking into a Square Well
    Trapping Particles in Potential Wells
    Binding particles in potential wells
    Escaping from potential wells
    Trapping Particles in Infinite Square Potential Wells
    Finding a wave-function equation
    Determining the energy levels
    Normalizing the wave function
    Adding time dependence to wave functions
    Shifting to symmetric square well potentials
    Limited Potential: Taking a Look at Particles and Potential Steps
    Assuming the particle has plenty of energy
    Assuming the particle doesn’t have enough energy
    Hitting the Wall: Particles and Potential Barriers
    Getting through potential barriers when E > V0
    Getting through potential barriers, even when E < V0
    Particles Unbound: Solving the Schrödinger Equation for Free Particles
    Getting a physical particle with a wave packet
    Going through a Gaussian example

  • 4: Back and Forth with Harmonic Oscillators
    Grappling with the Harmonic Oscillator Hamiltonians
    Going classical with harmonic oscillation
    Understanding total energy in quantum oscillation
    Creation and Annihilation: Introducing the Harmonic Oscillator Operators
    Mind your p’s and q’s: Getting the energy state equations
    Finding the Eigenstates
    Using a and a† directly
    Finding the harmonic oscillator energy eigenstates
    Putting in some numbers
    Looking at Harmonic Oscillator Operators as Matrices
    A Jolt of Java: Using Code to Solve the Schrödinger Equation Numerically
    Making your approximations
    Building the actual code
    Running the code

  • Part III: Turning to Angular Momentum and Spin

  • 5: Working with Angular Momentum on the Quantum Level
    Ringing the Operators: Round and Round with Angular Momentum
    Finding Commutators of Lx, Ly, and Lz
    Creating the Angular Momentum Eigenstates
    Finding the Angular Momentum Eigenvalues
    Deriving eigenstate equations with ßmax and ßmin
    Getting rotational energy of a diatomic molecule
    Finding the Eigenvalues of the Raising and Lowering Operators
    Interpreting Angular Momentum with Matrices
    Rounding It Out: Switching to the Spherical Coordinate System
    The eigenfunctions of Lz in spherical coordinates
    The eigenfunctions of L2 in spherical coordinates
    Chapter 6: Getting Dizzy with Spin 157
    The Stern-Gerlach Experiment and the Case of the Missing Spot
    Getting Down and Dirty with Spin and Eigenstates
    Halves and Integers: Saying Hello to Fermions and Bosons
    Spin Operators: Running Around with Angular Momentum
    Working with Spin 1/2 and Pauli Matrices
    Spin 1/2 matrices
    Pauli matrices
    xii Quantum Physics For Dummies, Revised Edition

  • Part IV: Multiple Dimensions: Going 3D with Quantum Physics

  • 7: Rectangular Coordinates: Solving Problems
    in Three Dimensions
    The Schrödinger Equation: Now in 3D!
    Solving Three-Dimensional Free Particle Problems
    The x, y, and z equations
    Finding the total energy equation
    Adding time dependence and getting a physical solution
    Getting Squared Away with 3D Rectangular Potentials
    Determining the energy levels
    Normalizing the wave function
    Using a cubic potential
    Springing into 3D Harmonic Oscillators

  • 8: Solving Problems in Three Dimensions: Spherical Coordinates
    A New Angle: Choosing Spherical Coordinates Instead of Rectangular
    Taking a Good Look at Central Potentials in 3D
    Breaking down the Schrödinger equation
    The angular part of ?(r, ?, ?)
    The radial part of ?(r, ?, ?)
    Handling Free Particles in 3D with Spherical Coordinates
    The spherical Bessel and Neumann functions
    The limits for small and large ?
    Handling the Spherical Square Well Potential
    Inside the square well: 0 < r < a
    Outside the square well: r > a
    Getting the Goods on Isotropic Harmonic Oscillators

  • 9: Understanding Hydrogen Atoms
    Coming to Terms: The Schrödinger Equation for the Hydrogen Atom
    Simplifying and Splitting the Schrödinger Equation for Hydrogen
    Solving for ?(R)
    Solving for ?(r)
    Solving the radial Schrödinger equation for small r
    Solving the radial Schrödinger equation for large r
    You got the power: Putting together the solution for the radial equation
    Fixing f(r) to keep it finite
    Finding the allowed energies of the hydrogen atom
    Getting the form of the radial solution of the Schrödinger equation
    Some hydrogen wave functions
    Calculating the Energy Degeneracy of the Hydrogen Atom
    Quantum states: Adding a little spin
    On the lines: Getting the orbitals
    Hunting the Elusive Electron

  • 10: Handling Many Identical Particles
    Many-Particle Systems, Generally Speaking
    Considering wave functions and Hamiltonians
    A Nobel opportunity: Considering multi-electron atoms
    A Super-Powerful Tool: Interchange Symmetry
    Order matters: Swapping particles with the exchange operator
    Classifying symmetric and antisymmetric wave functions
    Floating Cars: Tackling Systems of Many Distinguishable Particles
    Juggling Many Identical Particles
    Losing identity
    Symmetry and antisymmetry
    Exchange degeneracy: The steady Hamiltonian
    Name that composite: Grooving with the symmetrization postulate
    Building Symmetric and Antisymmetric Wave Functions
    Working with Identical Noninteracting Particles
    Wave functions of two-particle systems
    Wave functions of three-or-more-particle systems
    It’s Not Come One, Come All: The Pauli Exclusion Principle
    Figuring out the Periodic Table

  • Part V: Group Dynamics: Introducing Multiple Particles

  • Chapter 11: Giving Systems a Push: Perturbation Theory
    Introducing Time-Independent Perturbation Theory
    Working with Perturbations to Nondegenerate Hamiltonians
    A little expansion: Perturbing the equations
    Matching the coefficients of ? and simplifying
    Finding the first-order corrections
    Finding the second-order corrections
    Perturbation Theory to the Test: Harmonic Oscillators in Electric Fields
    Finding exact solutions
    Applying perturbation theory
    Working with Perturbations to Degenerate Hamiltonians
    Testing Degenerate Perturbation Theory: Hydrogen in Electric Fields

  • 12: Wham-Blam! Scattering Theory
    Introducing Particle Scattering and Cross Sections
    xiv Quantum Physics For Dummies, Revised Edition
    Translating between the Center-of-Mass and Lab Frames
    Framing the scattering discussion
    Relating the scattering angles between frames
    Translating cross sections between the frames
    Trying a lab-frame example with particles of equal mass
    Tracking the Scattering Amplitude of Spinless Particles
    The incident wave function
    The scattered wave function
    Relating the scattering amplitude and differential cross section
    Finding the scattering amplitude
    The Born Approximation: Rescuing the Wave Equation
    Exploring the far limits of the wave function
    Using the first Born approximation
    Putting the Born approximation to work

  • Part VI: The Part of Tens

  • 13: Ten Quantum Physics Tutorials
    An Introduction to Quantum Mechanics
    Quantum Mechanics Tutorial
    Grains of Mystique: Quantum Physics for the Layman
    Quantum Physics Online Version 2.0
    Todd K. Timberlake’s Tutorial
    Physics 24/7’s Tutorial
    Stan Zochowski’s PDF Tutorials
    Quantum Atom Tutorial .297
    College of St. Benedict’s Tutorial
    A Web-Based Quantum Mechanics Course

  • 14: Ten Quantum Physics Triumphs
    Wave-Particle Duality
    The Photoelectric Effect
    Postulating Spin
    Differences between Newton’s Laws and Quantum Physics
    Heisenberg Uncertainty Principle
    Quantum Tunneling
    Discrete Spectra of Atoms
    Harmonic Oscillator
    Square Wells
    Schrödinger’s Cat

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