dorsal/arxiv
View SchemaPreparation and measurement: two independent sources of uncertainty in quantum mechanics
| Authors | Willem M. de Muynck |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9901010 |
| URL | https://arxiv.org/abs/quant-ph/9901010 |
| Journal | Found.Phys. 30 (2000) 205-225 |
Abstract
In the Copenhagen interpretation the Heisenberg uncertainty relation is interpreted as the mathematical expression of the concept of complementarity, quantifying the mutual disturbance necessarily taking place in a simultaneous or joint measurement of incompatible observables. This interpretation has already been criticized by Ballentine a long time ago, and has recently been challenged in an experimental way. These criticisms can be substantiated by using the generalized formalism of positive operator-valued measures, from which a new inequality can be derived, precisely illustrating the Copenhagen concept of complementarity. The different roles of preparation and measurement in creating uncertainty in quantum mechanics are discussed.
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"abstract": "In the Copenhagen interpretation the Heisenberg uncertainty relation is\ninterpreted as the mathematical expression of the concept of complementarity,\nquantifying the mutual disturbance necessarily taking place in a simultaneous\nor joint measurement of incompatible observables. This interpretation has\nalready been criticized by Ballentine a long time ago, and has recently been\nchallenged in an experimental way. These criticisms can be substantiated by\nusing the generalized formalism of positive operator-valued measures, from\nwhich a new inequality can be derived, precisely illustrating the Copenhagen\nconcept of complementarity. The different roles of preparation and measurement\nin creating uncertainty in quantum mechanics are discussed.",
"arxiv_id": "quant-ph/9901010",
"authors": [
"Willem M. de Muynck"
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"quant-ph"
],
"journal_ref": "Found.Phys. 30 (2000) 205-225",
"title": "Preparation and measurement: two independent sources of uncertainty in quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9901010"
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