Table of contents for Quantum mechanics : an accessible introduction / Robert Scherrer.

Bibliographic record and links to related information available from the Library of Congress catalog.

Note: Contents data are machine generated based on pre-publication provided by the publisher. Contents may have variations from the printed book or be incomplete or contain other coding.

{chapter}{1}The Origins of Quantum Mechanics, 1
 {1.1}Introduction, 1
 {1.2}Blackbody Radiation, 2
 The Problem with Blackbody Radiation, 2
 {1.3}The Nature of Light, 10
 The Photoelectric Effect, 10
 The Compton Effect, 13
 Is it a Particle or a Wave?, 15
 {1.4}The Wave Nature of Matter, 16
 {1.5}The Bohr Atom, 17
 {1.6}Where do we Stand?, 20
{chapter}{2}Math Interlude A: Complex Numbers and Linear Operators, 23
 {2.1}Complex Numbers, 23
 {2.2}Operators, 30
 Definition of an Operator, 30
 Eigenfunctions and Eigenvalues, 31
{chapter}{3}The Schr\"odinger Equation, 35
 {3.1}Derivation of the Schr\"odinger Equation, 35
 {3.2}The Meaning of the Wave Function, 44
 {3.3}The Time-Independent Schr\"odinger Equation, 51
 {Derivation of the Time-Independent Schr\"odinger Equation, 51
 {Qualitative Solutions and the Origin of Quantization, 53
{chapter}{4}One-dimensional Time-independent Schr\"odinger Equation, 63
 {4.1}Unbound States: Scattering and Tunneling, 63
 Scattering From Step-Function Potentials, 68
 Step-function Potential With $E > V_0$, 69
 Step-function Potential With $E<V_0$, 74
 Tunneling, 76
 {4.2}Bound Systems, 79
 The Infinite Square Well, 80
 The Harmonic Oscillator Potential, 83
{chapter}{5}Math Interlude B: Linear Algebra, 95
 {5.1}Properties of Linear Operators, 95
 {5.2}Vector Spaces, 100
 Inner Products, 101
 Adjoint and Hermitian Operators, 105
 Basis Sets, 107
{chapter}{6}The Three-dimensional Time-independent Schr\"odinger Equation, 113
 {6.1}Solution in Rectangular Coordinates, 114
 {6.2}Angular Momentum, 117
 {6.3}The Schr\"odinger Equation in Spherical Coordinates, 125
 {6.4}The Hydrogen Atom, 133
{chapter}{7}Math Interlude C: Matrices, Dirac Notation, and the Dirac Delta Function, 145
 {7.1}The Matrix Formulation of Linear Operators, 145
 {7.2}Dirac Notation, 151
 {7.3}The Dirac Delta Function, 153
{chapter}{8}Spin Angular Momentum, 159
 {8.1}Spin Operators, 159
 {8.2}Evidence for Spin, 160
 {8.3}Adding Angular Momentum, 164
 {8.4}The Matrix Representation of Spin, 166
 {8.5}The Stern--Gerlach Experiment, 173
 {8.6}Spin Precession, 176
 {8.7}Spin Systems with Two Particles, 180
 Noninteracting Spins, 180
 Interacting Spins, 183
 {8.8}Measurement Theory, 186
 Hidden Variables, 188
 The Many Worlds Interpretation of Quantum Mechanics, 189
{chapter}{9}Time-Independent Perturbation Theory, 195
 {9.1}Derivation of Time-Independent Perturbation Theory, 195
 {9.2}Perturbations to the Atomic Energy Levels, 204
 Fine Structure, 205
 The Lamb Shift, 212
 {9.3}The Atom in External Electric or Magnetic Fields, 214
 The Atom in an Electric Field: The Stark Effect, 214
 The Atom in a Magnetic Field: The Zeeman Effect, 216
{chapter}{10}The Variational Principle, 225
 {10.1}Variational Principle: Theory, 225
 {10.2}Variational Principle: Application to the Helium Atom, 230
{chapter}{11}Time-dependent Perturbation Theory, 237
 {11.1}Derivation of Time-dependent Perturbation Theory, 237
 {11.2}Application: Selection Rules for Electromagnetic Radiation, 247
{chapter}{12}Scattering Theory, 257
 {12.1}Definition of the Cross Section, 257
 {12.2}The Born Approximation, 262
 {12.3}Partial Waves, 271
{chapter}{13}The Multiparticle Schr\"odinger Equation, 281
 {13.1}Wave Function for Identical Particles, 281
 {13.2}Multielectron Atoms, 293
{chapter}{14}Some Modern Applications of Quantum Mechanics, 303
 {14.1}Magnetic Resonance Imaging, 303
 {14.2}Quantum Computing, 308
{chapter}{15}What Comes Next? Relativistic Quantum Mechanics, 313
 {15.1}The Klein--Gordon Equation, 313
 Derivation of the Klein--Gordon Equation, 313
 Probability Densities and Currents, 314
 {15.2}The Dirac Equation, 317

Library of Congress Subject Headings for this publication:

Quantum theory -- Textbooks.