If you want to know both national and international train timetables, you can consult and purchase your tickets at www.renfe.es
There is a tramway –TRAM- that connects Alicante with the north of Alicante and the province of Alicante. There are several lines depending on destination. The ride is very nice for views that are contemplated in the Alicante bay.
Click the belowed image to enlarge the Tram Lines Map :
Check timetables at www.tramalicante.es