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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/889

Title: On the quantum analogue of Galileo’s leaning tower experiment
Authors: Ali, Md Manirul
Majumdar, A S
Home, Dipankar
Pan, Alok Kumar
Issue Date: 2006
Publisher: Class. Quantum Grav.
Citation: Md Manirul Ali, A S Majumdar, Dipankar Home and Alok Kumar Pan, On the quantum analogue of Galileo's leaning tower experiment, Class. Quantum Grav. 23 6493 (2006).
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.
URI: http://hdl.handle.net/123456789/889
Appears in Collections:2006

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