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Schrödinger and Heisenberg are known to be two of the important founders of quantum mechanics. They both invented a mathematical formalism for quantum mechanics. Schrodinger's formalism which was based on the wave equation was the most popular one. Heisenberg's formalism was based on the notion of quantum jumps (the innate "randomness" of sub-atomic physics the very reason that the famous "Schrodinger's cat" is not alive or dead...). Heisenberg's formalism was innovative but more difficult to handle.

The difference on the formalism reflects their different views on the interpretation of quantum mechanics; Schrondinger was more a realist and he was sharing Einstein view that randomness is not desirable in the description of sub-atomic physics. Heisenberg on the other hand was more a supporter of the Copenhagen Interpretation of quantum mechanics which interprets the sub-atomic randomness as an innate characteristic of the sub-atomic world and the very heart of quantum physics theory.

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