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No, the Nobel Prize-winning physicist's first name was Leon (Leon N Cooper). 

The character names Leonard Hofstadter and Sheldon Cooper from the TV show The Big Bang Theory were created as a tribute by combining the names of two real people: 

Leonard, the first name of the character Leonard Hofstadter, came from actor/producer Sheldon Leonard.

Cooper, the last name of the character Sheldon Cooper, came from physicist Leon Cooper.