Introduction to Quantum Mechanics

Introduction to Quantum Mechanics - David J. Griffiths, Darrell F. Schroeter - Cambridge University Press (2018).pdf
	Book Cover
	3rd edition Info
	Title Page
	Info page
	Contents
	1 THEORY
	1 The Wave Function
		1.1 The Schrodinger 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 Schrodinger 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 Schrodinger 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 Schrodinger 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 Schrodinger'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
Introduction to Quantum Mechanics, 3rf edition (2018).pdf