dorsal/arxiv
View SchemaDisappearance of the Measurement Paradox in a Metaplectic Extension of Quantum Dynamics
| Authors | Daniel I. Fivel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311145 |
| URL | https://arxiv.org/abs/quant-ph/0311145 |
Abstract
It is shown that Schrodinger dynamics can be embedded in a larger dynamical theory which extends its symmetry group from the unitary group to the full metaplectic group, i.e. the group of linear canonical transformations. Among the newly admitted non-unitary processes are analogues of the classical measurement process which makes it possible to treat the wave-function as an objective property of the quantum mechanical system on the same footing as the phase-space coordinates of a classical system. The notion of "observables" that in general have values only when measured can then be dispensed with, and the measurement paradox disappears.
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"abstract": "It is shown that Schrodinger dynamics can be embedded in a larger dynamical\ntheory which extends its symmetry group from the unitary group to the full\nmetaplectic group, i.e. the group of linear canonical transformations. Among\nthe newly admitted non-unitary processes are analogues of the classical\nmeasurement process which makes it possible to treat the wave-function as an\nobjective property of the quantum mechanical system on the same footing as the\nphase-space coordinates of a classical system. The notion of \"observables\" that\nin general have values only when measured can then be dispensed with, and the\nmeasurement paradox disappears.",
"arxiv_id": "quant-ph/0311145",
"authors": [
"Daniel I. Fivel"
],
"categories": [
"quant-ph"
],
"title": "Disappearance of the Measurement Paradox in a Metaplectic Extension of Quantum Dynamics",
"url": "https://arxiv.org/abs/quant-ph/0311145"
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