tern.jqueryapi provides a tern plugin for jQuery Mobile.

After installing and converting your project as Tern Project (see Tern-Eclipse-IDE), open After installing and converting your project as Tern Project, go at Tern project property, click on Tern / Modules item and select the jQuery Mobile tern plugin (ECMAScript, Browser, jQuery and jQueryUI tern plugin must be selected too) :

Completion

After that you can benefit with jQuery Mobile completion :

Completion for options properties is available too :

Web Browser

You can play with online demo which uses CodeMirror (inside Web Browser).