dorsal/arxiv
View SchemaSchrodinger equation from an exact uncertainty principle
| Authors | Michael J. W. Hall, Marcel Reginatto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102069 |
| URL | https://arxiv.org/abs/quant-ph/0102069 |
| DOI | 10.1088/0305-4470/35/14/310 |
| Journal | J. Phys. A 35 (2002) 3289-3303 www.iop.org/EJ |
Abstract
An exact uncertainty principle, formulated as the assumption that a classical ensemble is subject to random momentum fluctuations of a strength which is determined by and scales inversely with uncertainty in position, leads from the classical equations of motion to the Schrodinger equation. Thus there is an exact formulation of the uncertainty principle which precisely captures the essence of what is "quantum" about quantum mechanics.
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"abstract": "An exact uncertainty principle, formulated as the assumption that a classical\nensemble is subject to random momentum fluctuations of a strength which is\ndetermined by and scales inversely with uncertainty in position, leads from the\nclassical equations of motion to the Schrodinger equation. Thus there is an\nexact formulation of the uncertainty principle which precisely captures the\nessence of what is \"quantum\" about quantum mechanics.",
"arxiv_id": "quant-ph/0102069",
"authors": [
"Michael J. W. Hall",
"Marcel Reginatto"
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"doi": "10.1088/0305-4470/35/14/310",
"journal_ref": "J. Phys. A 35 (2002) 3289-3303 www.iop.org/EJ",
"title": "Schrodinger equation from an exact uncertainty principle",
"url": "https://arxiv.org/abs/quant-ph/0102069"
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