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Quantum Mechanics Demystified

by: McMahon, David

Quantum Mechanics Demystified

by: McMahon, David

ISBN 13:
9780071455466
ISBN 10:
0071455469
Edition: 1st
Format: Paperback
Copyright: 11/22/2005
Publisher: McGraw-Hill Professional
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Summary

Now anyone can master the basics of quantum mechanics-without formal training, unlimited time, or a genius IQ. In Quantum Mechanics Demystified, physicist (and student-savvy author) David McMahon provides an effective and illuminating way to learn the essentials of quantum mechanics.

Preface

Acknowledgments

Historical Review

(12)

Blackbody Radiation and Planck's Formula

(5)

The Photoelectric Effect

(1)

The Bohr Theory of the Atom

(3)

de Broglie's Hypothesis

(1)

Quiz

(2)

Basic Developments

(52)

The Schrodinger Equation

(5)

Solving the Schrodinger Equation

(6)

The Probability Interpretation and Normalization

(11)

Expansion of the Wavefunction and Finding Coefficients

(9)

The Phase of a Wavefunction

(2)

Operators in Quantum Mechanics

(8)

Momentum and the Uncertainty Principle

(5)

The Conservation of Probability

(4)

Quiz

(2)

The Time Independent Schrodinger Equation

(34)

The Free Particle

(8)

Bound States and 1-D Scattering

(14)

Parity

(7)

Ehrenfest Theorem

(1)

Quiz

(3)

An Introduction to State Space

(12)

Basic Definitions

(1)

Hilbert Space Definitions

100

(10)

Quiz

110

(1)

The Mathematical Structure of Quantum Mechanics I

111

(20)

Linear Vector Spaces

111

(11)

Basis Vectors

122

(2)

Expanding a Vector in Terms of a Basis

124

(1)

Orthonormal Sets and the Gram-Schmidt Procedure

124

(1)

Dirac Algebra with Bras and Kets

125

(2)

Finding the Expansion Coefficients in the Representation of Bras and Kets

127

(2)

Quiz

129

(2)

The Mathematical Structure of Quantum Mechanics II

131

(44)

The Representation of an Operator

133

(9)

Eigenvalues and Eigenvectors

142

(10)

The Hermitian Conjugate of an Operator

152

(15)

The Commutator

167

(5)

Quiz

172

(3)

The Mathematical Structure of Quantum Mechanics III

175

(30)

Change of Basis and Unitary Transformations

175

(10)

The Generalized Uncertainty Relation

185

(3)

Projection Operators

188

(5)

Functions of Operators

193

(1)

Generalization to Continuous Spaces

194

(9)

Quiz

203

(2)

The Foundations of Quantum Mechanics

205

(36)

The Postulates of Quantum Mechanics

205

(4)

Spectral Decomposition

209

(2)

Projective Measurements

211

(1)

The Completeness Relation

212

(8)

Completely Specifying a State with a CSCO

220

(1)

The Heisenberg versus Schrodinger Pictures

221

(1)

Describing Composite Systems in Quantum Mechanics

222

(1)

The Matrix Representation of a Tensor Product

223

(1)

The Tensor Product of State Vectors

224

(2)

The Density Operator

226

(3)

The Density Operator for a Completely Mixed State

229

(8)

A Brief Introduction to the Bloch Vector

237

(2)

Quiz

239

(2)

The Harmonic Oscillator

241

(18)

The Solution of the Harmonic Oscillator in the Position Representation

241

(9)

The Operator Method for the Harmonic Oscillator

250

(3)

Number States of the Harmonic Oscillator

253

(3)

More on the Action of the Raising and Lowering Operators

256

(2)

Quiz

258

(1)

Angular Momentum

259

(36)

The Commutation Relations of Angular Momentum

260

(2)

The Uncertainty Relations for Angular Momentum

262

(1)

Generalized Angular Momentum and the Ladder Operators

262

(10)

Matrix Representations of Angular Momentum

272

(11)

Coordinate Representation of Orbital Angular Momentum and the Spherical Harmonics

283

(10)

Quiz

293

(2)

Spin-1/2 Systems

295

(36)

The Stern-Gerlach Experiment

296

(2)

The Basis States for Spin-1/2 Systems

298

(2)

Using the Ladder Operators to Construct Sx, Sy

300

(8)

Unitary Transformations for Spin-1/2 Systems

308

(2)

The Outer Product Representation of the Spin Operators

310

(2)

The Pauli Matrices

312

(5)

The Time Evolution of Spin-1/2 States

317

(11)

The Density Operator for Spin-1/2 Systems

328

(1)

Quiz

329

(2)

Quantum Mechanics in Three Dimensions

331

(26)

The 2-D Square Well

332

(9)

An Overview of a Particle in a Central Potential

341

(1)

An Overview of the Hydrogen Atom

342

(14)

Quiz

356

(1)

Final Exam

357

(6)

Answers to Quiz and Exam Questions

363

(22)

References

385

(2)

Index

387

Amazon no longer offers textbook rentals. We do!

Quantum Mechanics Demystified

Quantum Mechanics Demystified

9780071455466

0071455469

Summary

Author Biography

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Quantum Mechanics Demystified

Quantum Mechanics Demystified

9780071455466

0071455469

Summary

Author Biography

Table of Contents

Supplemental Materials

Write a Review

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