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Results tagged with quantum-mechanics
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user 65954
For questions about mathematical problems arising from quantum mechanics, a branch of physics describing the behaviour of nature at very small scales, at the level of atoms and subatomic particles.
4
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A question about unitary and anti-unitary matrices
The question is the following: Let $U:\mathbf{C}^n\to \mathbf{C}^n$ be a unitary operator; let $\tilde{U}:\mathbf{C}^n\to\mathbf{C}^n$ be an antiunitary operator.
Can one deform $U$ to $\tilde{U}$ wit …
- 327
3
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A question about unitary and anti-unitary matrices
$\newcommand\norm[1]{\lVert#1\rVert}\newcommand\abs[1]{\lvert#1\rvert}$Well, it seems that the claim is false if $n$ is even: In that case both $U$ and $\tilde{U}$ belong to $\operatorname{SO}(2n)$, w …
- 327
1
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A question about unitary and anti-unitary matrices
$\newcommand\norm[1]{\lVert#1\rVert}$Here is a simple argument showing that, with the above notations, if $U$ is a unitary operator, and $\tilde{U}$ an antiunitary operator in $\mathbf{C}^n$, one alwa …
- 327