Jax RCFB Copyright © 1988-2010 Jack J. Woehr
Some other books which Internet acquaintance Albert Martinez (albertem@bellatlantic.net) recommends:
It has introductory material on quantum mechanics, and
computer science.
It has a linear algebra review which uses the Dirac notation. I
recomend
the following books as supplementary material for it. They are
cheap but
written better than anything I had to buy for college. Dover
publishing is
the king of cheap REAL math and science books. Cambrige press
is good, but
a little more expensive. Schuams and REA have cheap($20US) and
cheerful
solved problem books. Why should anybody spend $100 on some
dumbed down,
i..e. "university", text book?
**************************
These are all by:
Dover Publications, Inc. Mineola, New York
http://store.doverpublications.com
Published in Canada by General Publishing Company LTD., 30
Lesmill Road, Don
Mills, Toronto, Ontario.
Quantum Mechanics
Albert Messiah
ISBN: 0 486 40924 4
$29.95US
Very well written, really good explanation of the Dirac
notation and other
math needed for this subject.
Linear Algebra
Georgi E. Shilov
1977
ISBN:0 486 63518 X
$11.95US
No dirac notation.
Probability, Elements of the Mathematical Theory
C. R. Heathcote
2000
ISBN: 0 486 41149 4
$8.95US
Oh, hell, I'm on a roll:
Matrix Theory
Joel N. Franklin
2000
ISBN: 0 486 41179 6
$9.95US
Modern Algebra
Seth Warner
1990
ISBN: 0 486 66341 8
$22.95US
Set Theory and Logic
Robert Stoll
1979
ISBN: 0 486 63829 4
$14.95US
One more for the road, this time, by cambridge:
Foundations of Cryptography
Oded Goldreich
Cambridge University Press, 2001
www.cambridge.org
ISBN: 0 521 79172 3
~$50US
Number of apparati | Emitted | Observed between split and recombine? | View of all exposed plates superimposed |
1 | Continuous stream of photons | No | Interference |
1 | Continuous stream of photons | Yes | No interference |
1 | One photon per second | No | Interference |
1 | One photon per second | Yes | No interference |
Many | Continuous stream of photons | No | Interference |
Many | Continuous stream of photons | Yes | No interference |
Many | One photon per emitter once | No | Interference |
Many | One photon per emitter once | Yes | No interference |
[T]he mystery of quantum mechanics is of a very different kind from the mystery of, say, why the fine structure constant is 1/137. The QM mystery is not just "why are the equations that way and not some other way" --- but rather --- what do the equations mean? What is a measurement? What does consciousness have to do with measurement? Why do we measure anything at all?There is a big fuzzy hole at the center of QM, and the fundamental question of why we observe collapse to the particular set of observables we observe (and not, for example, a set of superpositions of those observables) --- that's a really big question. NOTHING in the mathematics makes this clear whatsoever.
Presumably, quantum mechanics is describing physical systems, and presumably we, the physicists, are also physical systems. So what is the relationship between us and these systems that we observe? What is so special about an "observer" that they have the power to "observe" and thereby force a "collapse" of a quantum system?
Or, to put it another way, how is it that we can make the observations necessary to even determine the fine structure constant is 1/137?