I want to thank you very much for your comment. Right now my husband is back at home. He moved back one week ago. I give him one more chance. I guess my "plan" is to show him how good life at home is. If he does for some reason not appreciate it enough to stay with us, I know we have no chance at all. It is nice to have him around, I admit, however, it also gives me anxiety because I don't know for how long he will be happy or satisfied at home. He has been on meds now for about 5-6 weeks and is seeing his psychiatrist and a therapist for I think you call it cognitive therapy on a weekly basis. What bothers me is that I think he wants to resolve all the issues with his past girlfriend, i.e. getting her out of the apartment he has still until end of october, not changing his phone number which lets me assume he is still in contact with her "helping" her find a place as she supposedly has nowhere to go, and other stuff by himself. I feel left out and that again gives me anxiety because I don't feel safe he will stay. Your comment helped, thank you very much. If my husband can't commit to us, I need to move on before his behaviour destroys me.

I totally agree.  You might ask to be included in helping with her so you don't feel left out and to see what kind of dynamics there still are between them.  I'm sure that you'll easily feel it out whether he is just being nice to this woman or whether he still has feelings for her.  And I would sit down calmly to talk about him changing his phone number, etc. and how it would help you feel so much better and learn to trust him again.  Personally I would be crazy jealous about this and ask that he let her figure her own life out, she is an adult that should be able to take care of herself.  If he's willing to cut off contact with this woman, I would feel a lot more comfortable if I were you, but that is just my opinion.  You have to do what feels right for you.  I wish you luck.