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| related topics |
| {energy, gaussian, time} |
| {let, theorem, proof} |
| {group, space, representation} |
| {operator, operators, space} |
| {phase, path, phys} |
| {vol, operators, histories} |
| {bell, inequality, local} |
| {state, states, entangled} |
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| {field, particle, equation} |
|
Remarks on the Fact that the Uncertainty Principle Does Not Determine
the Quantum State
Maurice de Gosson, Franz Luef
abstract: We discuss the relation between density matrices and the uncertainty
principle; this allows us to justify and explain a recent statement by Man'ko
et al. We thereafter use Hardy's uncertainty principle to prove a new result
for Wigner distributions dominated by a Gaussian and we relate this result to
the coarse-graining of phase-space by "quantum blobs".
- oai_identifier:
- oai:arXiv.org:quant-ph/0703061
- categories:
- quant-ph
- comments:
- To appaer in Phys. Lett. A
- arxiv_id:
- quant-ph/0703061
- created:
- 2007-03-07
Full article ▸
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