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- Thread starter Stephen Tashi
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I thind that it began with Heisenberg's matrix mechanics.

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heisenberg faced another problem with spectrum rays. there was an addition rule for energy but

no composition rules for the rays. the only thing that seemed real for him were the transitions (they can be observed) and he had doubts about tbe observability of something else. a matrix with its non diagonal terms describes possible transitions. he invented matrix multiplication and found the composition rule for transitions.

hilbert spaces are in the tradition of dirac and schroedinger

c* algebras, povm etc are in the tradition of Heisenberg.

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