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At the level of the elementary operations on the state vector, there is a Heisenberg picture for all quantum mechanics. This is the best understood picture, at least for the case of a one-dimensional vector. The Heisenberg picture is the one that is best suited to pedagogical treatments of the subject. It is also the one used in most of the quantum textbooks, and in all the majority of the quantum physics sources of the last 30 years.
A standard technique in linear algebra and quantum mechanics is the introduction of a Hilbert space to model the state of a system. The space consists of vectors in a vector space, with an inner product that is a bilinear, symmetric form; two vectors are said to be orthogonal if they are perpendicular with respect to the inner product. The inner product can be taken to correspond to the physical concept of an expectation value: the inner product of a state vector with an observable yields the expectation value, and the inner product of two state vectors gives the probability of being in one or another one of them. The inner product of a state vector with another state vector is the inner product of two expectations, and the inner product of two observables is the inner product of their respective eigenvector/eigenvalue pairs. The Hilbert space is then the set of all state vectors and observables (or in a more general sense, the set of all operators on a Hilbert space).
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Next week we'll be revealing a new set of mods for Destiny 2 which are yet to be announced. It's time to cover off the most exciting part of any Destiny 2 update, the Mod World Update.
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