Do the Robertson-SCHRÖDINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?

Details Do the Robertson-SCHRÖDINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ? Do the Robertson-SCHRÖDINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?

2002-12-27

arxiv.org/abs/quant-ph/0212145v1

Physics

Quantum Physics

4 pages, LaTeX, no figure

Scientific paper

It is explicitly shown that there exist physical states (normalized to 1) in which the Robertson- Schr\"{o}dinger and Heisenberg uncertainty relations are invalid, namely, the mean values of the physical operators are infinite. Consequently, these relations cannot imply a general physical principle. The explanation by the theory of functional analysis is given : for these states even the definition of the uncertainty notion through the dispersion notion in the probability theory is irrelevant.

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