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Just curious: is matrix picture of quantum mechnaics further used in QFT and superstring theories? It seems like not....

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Related: – Qmechanic Sep 29 '12 at 7:15
Is not matrix theory the ultimate generalization of the matrix picture of quantum mechanics as described for example here and here ...? – Dilaton Sep 29 '12 at 8:22
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Yes, "matrix mechanics" – known as "operator formalism" or "Heisenberg picture of quantum mechanics" – is used in all quantum mechanical theories. QFTs and string theory aren't exceptions. In all these cases, all the matrices are infinitely large, of course, because the Hilbert space is infinite-dimensional. However, that was true already for the quantum mechanics describing one particle on a line – for the simplest quantum mechanical models with at least one continuous degree of freedom. So QFT and string theory change nothing conceptual about these matters.

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