I am going to want to take the train from Ljubljana to Vienna. Is that possible?
Yes, there is one direct train daily and another with an easy change in Maribor. See the following link for details: http://www.slo-zeleznice.si/en/passenger-transport/travelling-abroad/austria/vienna
There is one direct train daily from Ljublana to Vienna - train #EC 150, taking aobut 6 hours. It departs Ljublana at 4 p.m. and arrives in Vienna at 10:00 p.m. There are other options involving a train change in Villach, Pragersko or Maribor. See www.bahn.com for schedules. You can buy tickets at the train station in Ljublana a few days ahead. A standard ticket is €68.80 per person, but there are some limted SparSchiene tickets available for as low as €29.
Thank you both, that is great information.
you're welcome, enjoy!