Final answer:
The hallucinatory drug referred to in the question is Soma, a fictional substance from Aldous Huxley's novel 'Brave New World'. In reality, drugs like LSD and peyote are known hallucinogens that alter perception and thought.
Step-by-step explanation:
The name of the hallucinatory drug administered to each person by the state, as presented in the student's question, is Soma. This term is not associated with a real drug but originates from Aldous Huxley’s dystopian novel “Brave New World,” where Soma is used to keep society peaceful and happy. The actual hallucinogenic drugs known to cause alterations in perception, mood, and thought include substances such as LSD, peyote, and psilocybin. For example, LSD is synthesized from lysergic acid found in a rye fungus, and it's known to be one of the most potent mind-altering substances. Peyote, containing the hallucinogen mescaline, is used in religious ceremonies by Native Americans, reflecting its long-standing cultural significance.