Unless I misunderstand what you're asking, you cannot do this with a single iPad. As has been said already, an iPad is not a multiple user device. While it is possible to have apps or other content purchased from more than one iTunes Store account, all such content will be available on the iPad to everyone using it. There is no way for each user to have his or her own set of apps on the iPad unless you're willing to completely re-sync the iPad every time you want to change users.
If, however, what you mean is that you want your wife to be able to have her own iTunes Store account within your single iTunes library so she can purchase apps without needing your iTunes Store password, then you just set her up a new account the same way you did yours; make sure you're signed out of your account, then click "Sign In" and then "New Account". She can then purchase apps on her own, but they'll all be in a single iTunes library and all the apps from both account will have to be on the iPad for either of you to use them.
Regards.