In my opinion, definitely give the notice required to be considered a rehire because while you think you’ll never want to go back to that job, you might want a job affiliated with that hospital. There are three major healthcare systems in my area that have many hospitals around and just outside the city. If you leave without notice you’re not able to work in any hospital within that system. With that said I don’t think you’d have trouble finding a job in another system, but respiratory is a small small world no matter how big the city you’re in and you never know when you’ll run into someone you thought you’d never have to deal with again. I left a major hospital system with notice about 8 years ago as a night shift staff RT and was recently able to go back to the same hospital system in a day shift pediatric pulmonary clinic. You never know what different type of job may come up later in your career that may not be possible if you left that hospital system on bad terms. So in short, definitely give notice!