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Quantum mechanics, also known as quantum physics, was an advanced physical theory, defining atoms and objects on the quantum level. Specialized quantum mechanics labs were utilized on both Galaxy- and Intrepid-class starships. (TNG: "Lessons"; VOY: "The 37's")
Doctor Phlox, an expert in medicine and psychiatry, was not specialized in quantum physics. This fact made it difficult to give Trip Tucker a proper prognosis after his arm was apparently cloaked. (ENT: "The Communicator")
Kathryn Janeway preferred studying quantum mechanics over camping as a child. (VOY: "Resolutions") Seven of Nine considered quantum mechanics to be one of her interests when searching for a compatible date. (VOY: "Someone to Watch Over Me")