23,256 research outputs found
Do the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?
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.Comment: 4 pages, LaTeX, no figur
- …