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**For all you Math / QM freaks out there...**

...check out this paper:

F. Gieres, Rep. Prog. Phys. 63 (2000), pp. 1893 - 1931,

"Mathematical surprises and Dirac's formalism in quantum mechanics"

which you can find here:

http://www.iop.org/EJ/abstract/0034-4885/63/12/201 (requires subscription)

You can download the paper for FREE here:

http://arxiv.org/abs/quant-ph/9907069 (English) or

http://arxiv.org/abs/quant-ph/9907070 (French).

The author shows that the lack of a rigorous mathematical formalism in QM leads to contradictions that are quite interesting. He illustrates problems and also gives solutions to them how to avoid them.

Have fun!