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This tag is for questions relating to Hilbert Space, a vector space equipped with an inner product, an operation that allows defining lengths and angles, and the space is complete. It arises naturally and frequently in mathematics and physics, typically as infinite-dimensional function spaces having the property that it is complete. Applies also to pre-Hilbert spaces, rigged Hilbert spaces, and spaces with negative norm or zero-norm states.

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Why can the time evolution operator be left or right multiplied on bra or ket? [duplicate]

In the book Modern Quantum Mechanics by Sakurai, it said that: We see that the expansion coefficients of a state ket in terms of base kets are the same in both pictures: $$ \begin{aligned} & c_{a^{\ …
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