TY - JOUR

T1 - On the quantum analogue of Galileo's leaning tower experiment

AU - Ali, Md Manirul

AU - Majumdar, A. S.

AU - Home, Dipankar

AU - Pan, Alok Kumar

PY - 2006/11/21

Y1 - 2006/11/21

N2 - 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.

AB - 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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U2 - 10.1088/0264-9381/23/22/024

DO - 10.1088/0264-9381/23/22/024

M3 - Article

AN - SCOPUS:33846155293

SN - 0264-9381

VL - 23

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 22

M1 - 024

ER -