Also, you'll have to add the field to the product class definition. Overriding the class is the best way, I suppose. But I did it directly in the product.php file in the classes directory.
You have to add a property, and later the field in the definition array.
Doing this allows all the other units to find your field automatically. Beware that it will be an automatic feature in all "blanket" accesses to the DB, So, you may break things that don't know it is there. Make sure to run through the back end to see where you have to add the field to make things right.