Sabbatical!

Between summer research and my starting a semester sabbatical, I’ve been slow to post news or do anything on our website. Oops. I’ll try and do better. My sabbatical will be in residence, focusing on more time on research and grant writing, and hopefully avoiding being roped into any campus service work.

Factoring to solve the critically damped harmonic oscillator

When a harmonic oscillator is critically damped, life becomes more complicated because the normal solution based on generalizing the simple harmonic oscillator — that is guessing an exponential solution — only has one root and so one solution. That can’t be correct for a second-order differential equation, so another solution needs to be derived. We […]