I'd really appreciate it if someone could tell me where to obtain the solutions manual for Bransden and Joachin QM as I've been having a go at the problems.
I'm sorry, but the only official way to get a solution manual, if it exists at all which is usually not the case, is to contact the editor or a bookstore and see if you can get one. All other sources are either on the brink of legality or papers of unknown origin. Neither can be recommended on PF.