Tipping time of a quantum rod

Details Tipping time of a quantum rod Tipping time of a quantum rod

2009-10-03

arxiv.org/abs/0910.0551v3

Eur. J. Phys. 31 (2010) 317-324.

Physics

Quantum Physics

10 pages, 1 figure, To appear in Euro. J. Phys

Scientific paper

10.1088/0143-0807/31/2/009

The behaviour of a quantum rod, pivoted at its lower end on an impenetrable floor and restricted to moving in the vertical plane under the gravitational potential is studied analytically under the approximation that the rod is initially localised to a small-enough neighbourhood around the point of classical unstable equilibrium. It is shown that the rod evolves out of this neighbourhood. The time required for this to happen, i.e., the tipping time is calculated using the semi-classical path integral. It is shown that equilibrium is recovered in the classical limit, and that our calculations are consistent with the uncertainty principle.

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