For all you Math / QM freaks out there

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SUMMARY

The discussion highlights the paper "Mathematical surprises and Dirac's formalism in quantum mechanics" by F. Gieres, published in Rep. Prog. Phys. 63 (2000), pp. 1893 - 1931. It emphasizes the author's exploration of the lack of rigorous mathematical formalism in quantum mechanics (QM) and its resulting contradictions. The paper provides insights into these issues and offers solutions to avoid them. The paper is available for free on arXiv and is deemed essential reading for anyone engaged in quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with Dirac's formalism in QM
  • Basic knowledge of mathematical formalism in physics
  • Access to academic papers and research databases
NEXT STEPS
  • Read the paper "Mathematical surprises and Dirac's formalism in quantum mechanics" on arXiv
  • Explore the implications of mathematical formalism in quantum mechanics
  • Investigate other works by F. Gieres related to quantum mechanics
  • Study the relationship between mathematical rigor and physical theories
USEFUL FOR

This discussion is beneficial for physicists, mathematicians, and students specializing in quantum mechanics, as well as researchers interested in the foundational aspects of QM and its mathematical underpinnings.

Edgardo
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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!
 
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