Research Interests of Dr. Michael Goggin

My research interests span nonlinear dynamics, quantum chaos, quantum optics, lasers, foundations of quantum mechanics and the classical-quantum transition.
 

Quantum Optics

I am currently devoting the majority of my time and energy supervising a student project on laser cooling and trapping of atoms.

I am also interested in doing some calculations of the interaction of light with simple atoms.

Nonlinear Dynamics

I am also interested in calculating distributions of "short-time Lyapunov exponents." Yes, this is an oxymoron, but it is the most succinct way of describing the short-time exponential divergence of trajectories. By adjusting the time over which a "Lyapunov exponent" is calculated, we gain more detailed information about the sensitivity of the system on different time scales.
 

Classical - Quantum Transition

I am trying to finish a project that involves a calculation of level curves of the Wigner distribution function for the square barrier potential. This should give some insight to semiclassical tunneling.
 

Interested?

If any of this sounds interesting, and you are a student at Truman State, stop by my office sometime and we can discuss your interests.

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