dorsal/arxiv
View SchemaDo the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?
| Authors | Vinh Quang N |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212145 |
| URL | https://arxiv.org/abs/quant-ph/0212145 |
Abstract
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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"abstract": "It is explicitly shown that there exist physical states (normalized to 1) in\nwhich the Robertson- Schr\\\"{o}dinger and Heisenberg uncertainty relations are\ninvalid, namely, the mean values of the physical operators are infinite.\nConsequently, these relations cannot imply a general physical principle. The\nexplanation by the theory of functional analysis is given : for these states\neven the definition of the uncertainty notion through the dispersion notion in\nthe probability theory is irrelevant.",
"arxiv_id": "quant-ph/0212145",
"authors": [
"Vinh Quang N"
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"categories": [
"quant-ph"
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"title": "Do the Robertson-SCHR\\\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?",
"url": "https://arxiv.org/abs/quant-ph/0212145"
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