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Results tagged with hilbert-space
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user 132956
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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Hydrogen Atom, polar equation eigenfunctions
In my textbook, Quantum Mechanics by David McIntyre on page 235, the solutions to the polar equation resulting from the separation of variables to the hydrogen atom are the eigenstates:
The book cla …
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Expectation value of Square Momentum
I am new to quantum mechanics. I tried using the identity matrix to find the expectation value of momentum square in the position basis. And here is what I got.
I started with the fact that one of th …
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Using integrals to expand a vector in continuous basis
I am new to quantum mechanics. I have been trying to understand why when we want to represent a function $$\psi(x)$$ as a ket in continuous basis |x> we us the integral:
$$\vert \psi(x)\rangle =\int …
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