Dr. Carter Burke is played by actor Michael Dorn.
A NYPD Psychiatrist that Beckett is required to see to pass her psych evalution. He appears in the final minutes of Rise when Beckett returns to his office explaining that she lied before about the shooting. She confesses that she remembers everything.
Beckett returns to Dr. Burke's office again in Eye of the Beholder, clearly upset that Castle seems to have taken an interest in insurance investigator Serena Kaye, stating that Castle is supposed to be her partner and he's supposed to be on her team. That he's not supposed to be all smitten. Beckett admits to Dr. Burke that her relationship with Castle is complicated. Dr. Burke asks Beckett what she's really scared of - that Castle won't wait for her or that he will.
Beckett finds herself returning to Dr. Burke's office again in Killshot after experiencing increasing episodes of PTSD and asking for a way to make it stop. Dr. Burke advices Beckett that he can help her with the PTSD episodes with both time and treatment. Beckett states that people are dying out there and she doesn't have time to get all weepy about a couple scars. He gently suggests that she walk away from this case. She says she's fine and thanks him as she walks out of his office.
Beckett returns to his office at the end of the episode. She had hoped that taking down the sniper would resolve things but she realizes that it hasn't. Beckett explains that it's always been there, even before the shooting. She's let her mother's murder define and drive her. But, she realizes she wants to be more than who she is and she's not sure how to do that without letting her mother down. Dr. Burke says she needs to make peace with her mother death and with the scars from the shooting. He tells her that he can help her but that she has to be ready to let go. She says that she is ready to let go.
In Sleeper, Dr. Burke meets with Castle on at least two occasions to help Castle sort out the images he's seeing in his dreams.