dorsal/arxiv
View SchemaEntropic uncertainty relation for power-law wave packets
| Authors | Sumiyoshi Abe, S. Martinez, F. Pennini, A. Plastino |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007011 |
| URL | https://arxiv.org/abs/quant-ph/0007011 |
| DOI | 10.1016/S0375-9601(02)00150-0 |
| Journal | Physics Letters A 295, 74 (2002) |
Abstract
For the power-law quantum wave packet in configuration space, the variance of the position observable may be divergent. Accordingly, the information-entropic formulation of the uncertainty principle becomes more appropriate than the Heisenberg-type formulation, since it involves only the finite quantities. It is found that the total amount of entropic uncertainty converges to its lower bound in the limit of a large value of the exponent.
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"abstract": "For the power-law quantum wave packet in configuration space, the variance of\nthe position observable may be divergent. Accordingly, the information-entropic\nformulation of the uncertainty principle becomes more appropriate than the\nHeisenberg-type formulation, since it involves only the finite quantities. It\nis found that the total amount of entropic uncertainty converges to its lower\nbound in the limit of a large value of the exponent.",
"arxiv_id": "quant-ph/0007011",
"authors": [
"Sumiyoshi Abe",
"S. Martinez",
"F. Pennini",
"A. Plastino"
],
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"quant-ph"
],
"doi": "10.1016/S0375-9601(02)00150-0",
"journal_ref": "Physics Letters A 295, 74 (2002)",
"title": "Entropic uncertainty relation for power-law wave packets",
"url": "https://arxiv.org/abs/quant-ph/0007011"
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