Quantum Mechanics in Simple Matrix Form

by Thomas F. Jordan

Overview

This elementary text introduces basic quantum mechanics to undergraduates with no background in mathematics beyond algebra. Containing more than 100 problems, it provides an easy way to learn part of the quantum language and apply it to problems.
Emphasizing the matrices representing physical quantities, it describes states simply by mean values of physical quantities or by probabilities for possible values. This approach requires using the algebra of matrices and complex numbers together with probabilities and mean values, a technique introduced at the outset and used repeatedly. Students discover the essential simplicity of quantum mechanics by focusing on basics and working only with key elements of the mathematical structure--an original point of view that offers a refreshing alternative for students new to quantum mechanics.

Product Details

ISBN-13:	9780486137063
Publisher:	Dover Publications
Publication date:	04/25/2012
Series:	Dover Books on Physics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	288
File size:	9 MB

Table of Contents

1. A Strange Equation
2. Imaginary Numbers
3. Matrices
4. Pauli Matrices
5. Vectors
6. Probability
7. Basic Rules
8. Spin and Magnetic Moment
9. Sunrise and First View
10. All Quantities Made from Spin
11. Non-negative Quantities
12. What Can Be Measured
13. General Rules
14. Two Spins
15. Einstein’s Instincts
16. Bell’s Inequalities
17. Heisenberg’s Uncertainty Relations
18. Quantized Oscillator Energy
19. Bohr’s Model
20. Angular Momentum
21. Rotational Energy
22. The Hydrogen Atom
23. Spin Rotations
24. Small Rotations
25. Changes in Space Location
26. Changes in Time
27. Changes in Velocity
28. Invariance and What It Implies
Index