# Questions tagged [hilbert-space]

Applies also to pre-Hilbert spaces, rigged Hilbert spaces, and spaces with negative norm or zero-norm states.

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### Why Dirac delta function is considered as wave function?

I have read in my textbook that dirac delta function is regarded as wave function. But isn't it violating the condition required for a wave function ie . It becomes infinite $δ(x-x_0)$ at $x=x_0$ ...
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### Probability Measurement in Quantum Mechanics

In Sakurai's book it is given that, The state ket for an arbitrary physical state can be expanded in terms of $|x'\rangle$ In practice, the best the detector can do is to locate the ...
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### What constitutes a quantum mechanical state? [duplicate]

In quantum mechanics, what exactly is the "state" of a quantum system and what constitutes the "state" of a quantum system? i will appreciate an intuitive and as well a mathematical answer.
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### How to determine initial quantum state? [closed]

A particle in an infinite square well has its initial wave function an even mixture of the first two stationary states: $$\psi(x,0)=A(\psi_1(x)+\psi_2(x))$$ As you may know, for $\psi(x,t)$ we ...
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