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3. (3pt.) A state of a physical system is just a description of the system at an instant in time in terms of its

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3. (3pt.) A state of a physical system is just a description of the system at an instant in time in terms of its properties. In classical mechanics, states are represented by points (in phase space). In quantum mechanics, states are represented by vectors (in a vector space). The motivation for the latter is that quantum systems can be in states in superpositions. What is it mathematically about vectors that lets us represent such states in superpositions? Why do you think states in superpositions can't be represented in classical mechanics?

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