Quantum state of pendulum under exponentially increasing gravitation

J.R. Choi

Physica A: Statistical Mechanics and its Applications, 2002, vol. 310, issue 1, 109-120

Abstract: We obtained the Schrödinger solution for a pendulum under exponentially increasing gravitation using dynamical invariant operator method. The quantum mechanical energy expectation value and propagator are calculated. The uncertainty relation in coherent state is exactly same with the minimum value of that in number state. We confirmed that there exists a simple relation between Berry's phase and Hannay's angle for this system.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:310:y:2002:i:1:p:109-120

DOI: 10.1016/S0378-4371(02)00748-3

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