Jax RCFB Copyright © 1988-2010 Jack J. Woehr
Some other books which Internet acquaintance Albert Martinez (firstname.lastname@example.org) recommends:
It has introductory material on quantum mechanics, and
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
Published in Canada by General Publishing Company LTD., 30 Lesmill Road, Don
Mills, Toronto, Ontario.
ISBN: 0 486 40924 4
Very well written, really good explanation of the Dirac notation and other
math needed for this subject.
Georgi E. Shilov
ISBN:0 486 63518 X
No dirac notation.
Probability, Elements of the Mathematical Theory
C. R. Heathcote
ISBN: 0 486 41149 4
Oh, hell, I'm on a roll:
Joel N. Franklin
ISBN: 0 486 41179 6
ISBN: 0 486 66341 8
Set Theory and Logic
ISBN: 0 486 63829 4
One more for the road, this time, by cambridge:
Foundations of Cryptography
Cambridge University Press, 2001
ISBN: 0 521 79172 3
|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?
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