Can I used my marriage name when I travel to Europe

Hi, everyone:
I have changed my name after marriage (my GC and driver\'s license and SSN). I also recently got new passport with Observation (just saying that my name can be spelled as my marriage name). We are traveling to Europe this Fall and going to buy plane tickets. Previously I always used my maiden name (which is the name on the passport first page), I wonder if I can use marriage name this time to book the flight. Does anyone have similar experience? Thanks!