Each normalized state is a member of an orthonormal basis: A simple proof
Quantum Physics
2017-08-01 v2
Abstract
In a finite dimensional Hilbert space, each normalized vector (state) can be chosen as a member of an orthonormal basis of the space. We give a proof of this statement in a manner that seems to be more comprehensible for physics students than the formal abstract one.
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Cite
@article{arxiv.1505.06054,
title = {Each normalized state is a member of an orthonormal basis: A simple proof},
author = {Iman Sargolzahi and Ehsan Anjidani},
journal= {arXiv preprint arXiv:1505.06054},
year = {2017}
}
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11 pages