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Results tagged with hilbert-spaces
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user 76904
A Hilbert space $H$ is a real or complex vector space endowed with an inner product such that $H$ is a complete metric space when endowed with the norm induced by this inner product.
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votes
Accepted
Selfadjointness of hamiltonian with 1/x potential
The answer is classical and negative. It is a particular instance of Thm X.11 of Reed-Simon here.
Let $V(x)$ be a continous potential on $(0,+\infty)$. If
\begin{equation}
V(x) \geq \frac{3}{4x^2}
\e …
- 86