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K. M. Cheng

Publications and source records attributed to K. M. Cheng.

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The quantum mechanical geometric phase of a particle in a resonant vibrating cavity

We study the general-setting quantum geometric phase acquired by a particle in a vibrating cavity. Solving the two-level theory with the rotating-wave approximation and the SU(2) method, we obtain analytic formulae that give excellent descriptions of the geometric phase, energy, and wavefunction of the resonating system. In particular, we observe a sudden $π$-jump in the geometric phase when the system is in resonance. We found similar behaviors in the geometric phase of a spin-1/2 particle in a rotating magnetic field, for which we developed a geometrical model to help visualize its evolution.

quant-ph

The Day-night Variation of Cosmic Rays Instensity at Sea Level Under the Influence of Meteorological Fronts and Troughs

The day-night variation of cosmic rays intensity at sea level has been observed by a simple G-M counter telescope. We preform two 5 hours counting during the day and night and find that the pattern of variation is closely related to the atmospheric disturbance, especially when the observation station is being affected by meterological front or trough. Such effects may lasts for a few days until the trough or fronts weakened. The pattern of variation may be negatively correlated to the altitude of the 0 degC level of the atmosphere. This is closely related to the muon decay effect in the atmosphere. The phenomenon should be further investigation for possible application in weather forecasting.

physics.ao-ph