Hello, some operators seem to "add up" and give real eigenvalues only if they are applied on the imaginary position, ix, rather than the normal position operator, x, in the integral :(adsbygoogle = window.adsbygoogle || []).push({});

\begin{equation}

\langle Bx, x\rangle

\end{equation}

when replaced by:

\begin{equation}

\langle Bix, ix\rangle

\end{equation}

or

\begin{equation}

\langle Bix, x\rangle

\end{equation}

So using (2) or even (3) I get real (but negative) eigenvalues, instead of complex eigenvalues. I have not found any literature on such an absurd thing, as the imaginary position, however, being the only answer to these operators, I am wondering if anyone can point to some further literature on complex operators and complex eigenvalues in QM and whether (2) and (3) make any sense at all

Thanks

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# A Imaginary position operator

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