dorsal/arxiv
View SchemaInterference and Distinguishability in Quantum Mechanics
| Authors | Jos Uffink, Jan Hilgevoord |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904003 |
| URL | https://arxiv.org/abs/quant-ph/9904003 |
| Journal | Physica B151 (1988) 309 |
Abstract
Quantitative measures are introduced for the indistinguishability $U$ of two quantum states in a given measurement and the amount of interference $I$ observable in this measurement. It is shown that these measures obey an inequality $U\geq I$ which can be seen as an exact formulation of Bohr's claim that one cannot distinguish between two possible paths of a particle while maintaining an interference phenomenon. This formulation is applied to a neutron interferometer experiment of Badurek e.a. It is shown that the formulation is stronger than an argument based on an uncertainty relation for phase and photon number considered by these authors.
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"abstract": "Quantitative measures are introduced for the indistinguishability $U$ of two\nquantum states in a given measurement and the amount of interference $I$\nobservable in this measurement. It is shown that these measures obey an\ninequality $U\\geq I$ which can be seen as an exact formulation of Bohr\u0027s claim\nthat one cannot distinguish between two possible paths of a particle while\nmaintaining an interference phenomenon. This formulation is applied to a\nneutron interferometer experiment of Badurek e.a. It is shown that the\nformulation is stronger than an argument based on an uncertainty relation for\nphase and photon number considered by these authors.",
"arxiv_id": "quant-ph/9904003",
"authors": [
"Jos Uffink",
"Jan Hilgevoord"
],
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"quant-ph"
],
"journal_ref": "Physica B151 (1988) 309",
"title": "Interference and Distinguishability in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9904003"
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