Introduction to Quantum Mechanics

Höfundar: David J. Griffiths; Darrell F. Schroeter (Útgáfa: 3)
Introduction to Quantum Mechanics

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Útgefandi
Cambridge University Press
ISBN
9781108103145
Print ISBN
9781107189638
Format
Page Fidelity (PDF)
Útgáfa
3
Höfundar
David J. Griffiths; Darrell F. Schroeter
Tungumál
English
Útgefið
2018-08-16
Prent takmörkun á líftíma
10

Kaflar

  • Half-Title page
  • Title page
  • Imprints page
  • Contents
  • Preface
  • Part I Theory
  • 1 The Wave Function
  • 1.1 The Schrödinger Equation
  • 1.2 The Statistical Interpretation
  • 1.3 Probability
  • 1.3.1 Discrete Variables
  • 1.3.2 Continuous Variables
  • 1.4 Normalization
  • 1.5 Momentum
  • 1.6 The Uncertainty Principle
  • Further Problems on Chapter 1
  • 2 Time-Independent Schrödinger Equation
  • 2.1 Stationary States
  • 2.2 The Infinite Square Well
  • 2.3 The Harmonic Oscillator
  • 2.3.1 Algebraic Method
  • 2.3.2 Analytic Method
  • 2.4 The Free Particle
  • 2.5 The Delta-Function Potential
  • 2.5.1 Bound States and Scattering States
  • 2.5.2 The Delta-Function Well
  • 2.6 The Finite Square Well
  • Further Problems on Chapter 2
  • 3 Formalism
  • 3.1 Hilbert Space
  • 3.2 Observables
  • 3.2.1 Hermitian Operators
  • 3.2.2 Determinate States
  • 3.3 Eigenfunctions of a Hermitian Operator
  • 3.3.1 Discrete Spectra
  • 3.3.2 Continuous Spectra
  • 3.4 Generalized Statistical Interpretation
  • 3.5 The Uncertainty Principle
  • 3.5.1 Proof of the Generalized Uncertainty Principle
  • 3.5.2 The Minimum-Uncertainty Wave Packet
  • 3.5.3 The Energy-Time Uncertainty Principle
  • 3.6 Vectors and Operators
  • 3.6.1 Bases in Hilbert Space
  • 3.6.2 Dirac Notation
  • 3.6.3 Changing Bases in Dirac Notation
  • Further Problems on Chapter 3
  • 4 Quantum Mechanics in Three Dimensions
  • 4.1 The Schrödinger Equation
  • 4.1.1 Spherical Coordinates
  • 4.1.2 The Angular Equation
  • 4.1.3 The Radial Equation
  • 4.2 The Hydrogen Atom
  • 4.2.1 The Radial Wave Function
  • 4.2.2 The Spectrum of Hydrogen
  • 4.3 Angular Momentum
  • 4.3.1 Eigenvalues
  • 4.3.2 Eigenfunctions
  • 4.4 Spin
  • 4.4.1 Spin 1/2
  • 4.4.2 Electron in a Magnetic Field
  • 4.4.3 Addition of Angular Momenta
  • 4.5 Electromagnetic Interactions
  • 4.5.1 Minimal Coupling
  • 4.5.2 The Aharonov–Bohm Effect
  • Further Problems on Chapter 4
  • 5 Identical Particles
  • 5.1 Two-Particle Systems
  • 5.1.1 Bosons and Fermions
  • 5.1.2 Exchange Forces
  • 5.1.3 Spin
  • 5.1.4 Generalized Symmetrization Principle
  • 5.2 Atoms
  • 5.2.1 Helium
  • 5.2.2 The Periodic Table
  • 5.3 Solids
  • 5.3.1 The Free Electron Gas
  • 5.3.2 Band Structure
  • Further Problems on Chapter 5
  • 6 Symmetries & Conservation Laws
  • 6.1 Introduction
  • 6.1.1 Transformations in Space
  • 6.2 The Translation Operator
  • 6.2.1 How Operators Transform
  • 6.2.2 Translational Symmetry
  • 6.3 Conservation Laws
  • 6.4 Parity
  • 6.4.1 Parity in One Dimension
  • 6.4.2 Parity in Three Dimensions
  • 6.4.3 Parity Selection Rules
  • 6.5 Rotational Symmetry
  • 6.5.1 Rotations About the z Axis
  • 6.5.2 Rotations in Three Dimensions
  • 6.6 Degeneracy
  • 6.7 Rotational Selection Rules
  • 6.7.1 Selection Rules for Scalar Operators
  • 6.7.2 Selection Rules for Vector Operators
  • 6.8 Translations in Time
  • 6.8.1 The Heisenberg Picture
  • 6.8.2 Time-Translation Invariance
  • Further Problems on Chapter 6
  • Part II Applications
  • 7 Time-Independent Perturbation Theory
  • 7.1 Nondegenerate Perturbation Theory
  • 7.1.1 General Formulation
  • 7.1.2 First-Order Theory
  • 7.1.3 Second-Order Energies
  • 7.2 Degenerate Perturbation Theory
  • 7.2.1 Two-Fold Degeneracy
  • 7.2.2 “Good” States
  • 7.2.3 Higher-Order Degeneracy
  • 7.3 The Fine Structure of Hydrogen
  • 7.3.1 The Relativistic Correction
  • 7.3.2 Spin-Orbit Coupling
  • 7.4 The Zeeman Effect
  • 7.4.1 Weak-Field Zeeman Effect
  • 7.4.2 Strong-Field Zeeman Effect
  • 7.4.3 Intermediate-Field Zeeman Effect
  • 7.5 Hyperfine Splitting in Hydrogen
  • Further Problems on Chapter 7
  • 8 The Variational Principle
  • 8.1 Theory
  • 8.2 The Ground State of Helium
  • 8.3 The Hydrogen Molecule Ion
  • 8.4 The Hydrogen Molecule
  • Further Problems on Chapter 8
  • 9 The WKB Approximation
  • 9.1 The ``Classical'' Region
  • 9.2 Tunneling
  • 9.3 The Connection Formulas
  • Further Problems on Chapter 9
  • 10 Scattering
  • 10.1 Introduction
  • 10.1.1 Classical Scattering Theory
  • 10.1.2 Quantum Scattering Theory
  • 10.2 Partial Wave Analysis
  • 10.2.1 Formalism
  • 10.2.2 Strategy
  • 10.3 Phase Shifts
  • 10.4 The Born Approximation
  • 10.4.1 Integral Form of the Schrödinger Equation
  • 10.4.2 The First Born Approximation
  • 10.4.3 The Born Series
  • Further Problems on Chapter 10
  • 11 Quantum Dynamics
  • 11.1 Two-Level Systems
  • 11.1.1 The Perturbed System
  • 11.1.2 Time-Dependent Perturbation Theory
  • 11.1.3 Sinusoidal Perturbations
  • 11.2 Emission and Absorption of Radiation
  • 11.2.1 Electromagnetic Waves
  • 11.2.2 Absorption, Stimulated Emission, and Spontaneous Emission
  • 11.2.3 Incoherent Perturbations
  • 11.3 Spontaneous Emission
  • 11.3.1 Einstein's A and B Coefficients
  • 11.3.2 The Lifetime of an Excited State
  • 11.3.3 Selection Rules
  • 11.4 Fermi's Golden Rule
  • 11.5 The Adiabatic Approximation
  • 11.5.1 Adiabatic Processes
  • 11.5.2 The Adiabatic Theorem
  • Further Problems on Chapter 11
  • 12 Afterword
  • 12.1 The EPR Paradox
  • 12.2 Bell's Theorem
  • 12.3 Mixed States and the Density Matrix
  • 12.3.1 Pure States
  • 12.3.2 Mixed States
  • 12.3.3 Subsystems
  • 12.4 The No-Clone Theorem
  • 12.5 Schrödinger's Cat
  • Appendix Linear Algebra
  • A.1 Vectors
  • A.2 Inner Products
  • A.3 Matrices
  • A.4 Changing Bases
  • A.5 Eigenvectors and Eigenvalues
  • A.6 Hermitian Transformations
  • Index