Quantum Mechanics Demystified / Edition 1
  • Quantum Mechanics Demystified / Edition 1
  • Quantum Mechanics Demystified / Edition 1
  • Quantum Mechanics Demystified / Edition 1
<Previous >Next

Quantum Mechanics Demystified / Edition 1

3.9 11
by David McMahon
     
 

  • Fun FORMAT makes this complex subject EASY to GRASP
  • SOLUTIONS to typical problems are EXPLAINED in full DETAIL
  • Perfect for SELF-STUDY or CLASS supplement
  • Great for quick REVIEW or help PREPARE for the Physics Qualifying EXAM

LEARN QUANTUM MECHANICS AT WARP SPEED!

Now anyone can master the basics of quantum mechanics — without formal

See more details below

Overview

  • Fun FORMAT makes this complex subject EASY to GRASP
  • SOLUTIONS to typical problems are EXPLAINED in full DETAIL
  • Perfect for SELF-STUDY or CLASS supplement
  • Great for quick REVIEW or help PREPARE for the Physics Qualifying EXAM

LEARN QUANTUM MECHANICS AT WARP SPEED!

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.

With Quantum Mechanics Demystified, you master the subject one step at a time — at your own speed. This unique self-teaching guide is filled with solved examples throughout, and offers problems to try at the end of each chapter to pinpoint weaknesses. A final exam serves to reinforce concepts covered in the entire book.

This fast and entertaining self-teaching course makes it much easier to —

  • Master serious quantum mechanics in easy-to-follow steps
  • Cut through the jargon and learn how to do quantum mechanics using worked examples
  • Reinforce learning and pinpoint weaknesses with questions at the end of each chapter and a comprehensive final exam
  • Learn about Schrodinger's equation, one dimensional scattering, Hilbert space, and the density operator
  • Find extensive explanations of spin and angular momentum, vector spaces, matrix mechanics, the harmonic oscillator, and the hydrogen atom
  • Perform better on qualifying or placement exams
  • Take a "final exam" and grade it yourself!

Clear enough for beginners but challenging enough for those who already know something about advanced physics, Quantum Mechanics Demystified is the best self-teaching tool you can find!

Read More

Product Details

ISBN-13:
9780071455466
Publisher:
McGraw-Hill Professional Publishing
Publication date:
11/22/2005
Series:
Demystified Series
Pages:
393
Product dimensions:
7.40(w) x 9.30(h) x 0.75(d)

Related Subjects

Table of Contents

Prefaceix
Acknowledgmentsxi
Chapter 1Historical Review1
Blackbody Radiation and Planck's Formula1
The Photoelectric Effect6
The Bohr Theory of the Atom7
de Broglie's Hypothesis10
Quiz11
Chapter 2Basic Developments13
The Schrodinger Equation13
Solving the Schrodinger Equation18
The Probability Interpretation and Normalization24
Expansion of the Wavefunction and Finding Coefficients35
The Phase of a Wavefunction44
Operators in Quantum Mechanics46
Momentum and the Uncertainty Principle54
The Conservation of Probability59
Quiz63
Chapter 3The Time Independent Schrodinger Equation65
The Free Particle66
Bound States and 1-D Scattering74
Parity88
Ehrenfest Theorem95
Quiz96
Chapter 4An Introduction to State Space99
Basic Definitions99
Hilbert Space Definitions100
Quiz110
Chapter 5The Mathematical Structure of Quantum Mechanics I111
Linear Vector Spaces111
Basis Vectors122
Expanding a Vector in Terms of a Basis124
Orthonormal Sets and the Gram-Schmidt Procedure124
Dirac Algebra with Bras and Kets125
Finding the Expansion Coefficients in the Representation of Bras and Kets127
Quiz129
Chapter 6The Mathematical Structure of Quantum Mechanics II131
The Representation of an Operator133
Eigenvalues and Eigenvectors142
The Hermitian Conjugate of an Operator152
The Commutator167
Quiz172
Chapter 7The Mathematical Structure of Quantum Mechanics III175
Change of Basis and Unitary Transformations175
The Generalized Uncertainty Relation185
Projection Operators188
Functions of Operators193
Generalization to Continuous Spaces194
Quiz203
Chapter 8The Foundations of Quantum Mechanics205
The Postulates of Quantum Mechanics205
Spectral Decomposition209
Projective Measurements211
The Completeness Relation212
Completely Specifying a State with a CSCO220
The Heisenberg versus Schrodinger Pictures221
Describing Composite Systems in Quantum Mechanics222
The Matrix Representation of a Tensor Product223
The Tensor Product of State Vectors224
The Density Operator226
The Density Operator for a Completely Mixed State229
A Brief Introduction to the Bloch Vector237
Quiz239
Chapter 9The Harmonic Oscillator241
The Solution of the Harmonic Oscillator in the Position Representation241
The Operator Method for the Harmonic Oscillator250
Number States of the Harmonic Oscillator253
More on the Action of the Raising and Lowering Operators256
Quiz258
Chapter 10Angular Momentum259
The Commutation Relations of Angular Momentum260
The Uncertainty Relations for Angular Momentum262
Generalized Angular Momentum and the Ladder Operators262
Matrix Representations of Angular Momentum272
Coordinate Representation of Orbital Angular Momentum and the Spherical Harmonics283
Quiz293
Chapter 11Spin-1/2 Systems295
The Stern-Gerlach Experiment296
The Basis States for Spin-1/2 Systems298
Using the Ladder Operators to Construct S[subscript x], S[subscript y]300
Unitary Transformations for Spin-1/2 Systems308
The Outer Product Representation of the Spin Operators310
The Pauli Matrices312
The Time Evolution of Spin-1/2 States317
The Density Operator for Spin-1/2 Systems328
Quiz329
Chapter 12Quantum Mechanics in Three Dimensions331
The 2-D Square Well332
An Overview of a Particle in a Central Potential341
An Overview of the Hydrogen Atom342
Quiz356
Final Exam357
Answers to Quiz and Exam Questions363
References385
Index387

Read More

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >