It's a closed, turnkey system. Not only does Bose supply the amp, it has built-in equalization optimized for this woofer and the Bose satellites. You could drive it with any number of amps, but unless you know Bose's equalization curve (which is proprietary), you'll be guessing as to how to shape the signal to the Bose speakers.
There are so many better speakers for the same or less money. You could save a lot of hassle and get a big improvement in sound with something from PSB, Paradigm, or Energy. Their subwoofers go lower and have built-in amplifiers, and you don't need some factory-secret EQ curve to mate their speakers with an amp.