Is it normal to think of him every waking moment

My boyfriend moved to the states and I moved to Japan about a month later after he left.I ended things whilst we were still in the same country because I felt it was too hard to see these through to the end because he was leaving me. I only decided to move after he left. Fast forward 3 months after this supposed break up, we still communicate all day everyday and we video call and everything. The love is still there. I think of him every waking moment, I am in a new city, new life but every thought always trails back to him. It is a mutual thing, he calls me at 6am in the morning just to talk. Is it normal that we are still in each other's lives like this and are obsessed with each other after all this time.