Power-napping is not just for cats (as those people lucky enough to support a cat can attest to). Da Vinci did it. Edison did it. Churchill did it. Millions of less-stressed-than-you people do it and managed to keep their lives running smoothly, you can too.
See, it’s not really the difficulty of taking a nap in the middle of your work day as it is getting over the intense urge to Do Something More Productive, and the guilt that comes with laying this urge aside.
Circadian rhythms govern our resting and active periods. Modern life lets us control this (somewhat) with various drugs of choice, the most common of which is caffeine. Napping can bring you back to the rhythms of your body, leading to better performance.
Remember nap-time when you were very young?
Children needed time-outs from the frenetic activity their enormous energy levels could give them, so, boom, nap-time. Adults usually get to control their energy slumps with quick-fixes like coffee, but why not try implementing a small nap in your daily cycle to re-charge yourself?