dorsal/arxiv
View SchemaOn the quantum analogue of Galileo's leaning tower experiment
| Authors | Md. Manirul Ali, A. S. Majumdar, Dipankar Home, Alok Kumar Pan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606183 |
| URL | https://arxiv.org/abs/quant-ph/0606183 |
| DOI | 10.1088/0264-9381/23/22/024 |
| Journal | Class.Quant.Grav. 23 (2006) 6493-6502 |
Abstract
The quantum analogue of Galileo's leaning tower experiment is revisited using wave packets evolving under the gravitational potential. We first calculate the position detection probabilities for particles projected upwards against gravity around the classical turning point and also around the point of initial projection, which exhibit mass dependence at both these points. We then compute the mean arrival time of freely falling particles using the quantum probability current, which also turns out to be mass dependent. The mass dependence of both the position detection probabilities and the mean arrival time vanish in the limit of large mass. Thus, compatibility between the weak equivalence principle and quantum mechanics is recovered in the macroscopic limit of the latter.
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"abstract": "The quantum analogue of Galileo\u0027s leaning tower experiment is revisited using\nwave packets evolving under the gravitational potential. We first calculate the\nposition detection probabilities for particles projected upwards against\ngravity around the classical turning point and also around the point of initial\nprojection, which exhibit mass dependence at both these points. We then compute\nthe mean arrival time of freely falling particles using the quantum probability\ncurrent, which also turns out to be mass dependent. The mass dependence of both\nthe position detection probabilities and the mean arrival time vanish in the\nlimit of large mass. Thus, compatibility between the weak equivalence principle\nand quantum mechanics is recovered in the macroscopic limit of the latter.",
"arxiv_id": "quant-ph/0606183",
"authors": [
"Md. Manirul Ali",
"A. S. Majumdar",
"Dipankar Home",
"Alok Kumar Pan"
],
"categories": [
"quant-ph",
"gr-qc",
"physics.class-ph"
],
"doi": "10.1088/0264-9381/23/22/024",
"journal_ref": "Class.Quant.Grav. 23 (2006) 6493-6502",
"title": "On the quantum analogue of Galileo\u0027s leaning tower experiment",
"url": "https://arxiv.org/abs/quant-ph/0606183"
},
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