dorsal/arxiv
View SchemaThe certainty principle
| Authors | D. A. Arbatsky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506165 |
| URL | https://arxiv.org/abs/quant-ph/0506165 |
Abstract
The notion of the quantum angle is introduced. The quantum angle turns out to be a metric on the set of physical states of a quantum system. Its kinematics and dynamics is studied. The certainty principle for quantum systems is formulated and proved. It turns out that the certainty principle is closely connected with the Heisenberg uncertainty principle (it presents, in some sense, an opposite point of view). But at the same time the certainty principle allows to give rigorous formulations for wider class of problems (it allows to rigorously interpret and ground the analogous inequalities for the pairs of quantities like time - energy, angle - angular momentum etc.)
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"abstract": "The notion of the quantum angle is introduced. The quantum angle turns out to\nbe a metric on the set of physical states of a quantum system. Its kinematics\nand dynamics is studied. The certainty principle for quantum systems is\nformulated and proved. It turns out that the certainty principle is closely\nconnected with the Heisenberg uncertainty principle (it presents, in some\nsense, an opposite point of view). But at the same time the certainty principle\nallows to give rigorous formulations for wider class of problems (it allows to\nrigorously interpret and ground the analogous inequalities for the pairs of\nquantities like time - energy, angle - angular momentum etc.)",
"arxiv_id": "quant-ph/0506165",
"authors": [
"D. A. Arbatsky"
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"title": "The certainty principle",
"url": "https://arxiv.org/abs/quant-ph/0506165"
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