How to integrate with the jQuery Mobile framework?
There are currently people working on an integration of jQuery Mobile and Drupal.

Take a look at the jQuery Mobile module and the jQM Theme.  They are both currently only in dev, but I don't think there is much else out there yet.  If you prefer you could always do the integration yourself and use the basic Mobile theme.

The creators of this module and theme also have a video from Drupalcon Chicago that was very interesting: Drupal on the go with jQuery Mobile