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Results tagged with sp.spectral-theory
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user 12081
Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices
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votes
Accepted
Sum of two essentially self-adjoint operators
One can show that $P+cQ$ is unitarily equivalent to $P$ for every $c\in\mathbb R.$ This solves your problem.
Let $P=\frac{1}{i}\frac{d}{dx}$ and $Q=x$ be defined on the Schwartz space $S(\mathbb{R})$ …
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