Positive perturbations of self-adjoint Schrödinger operators. (English) Zbl 0571.35021
Given a Schrödinger operator \(T_ 0=-\Delta +q_ 0\) which is bounded from below and essentially selfadjoint on \(C_ 0^{\infty}\), it is shown that \(T=T_ 0+q\) for \(q\geq 0\) is also essentially selfadjoint, if T is relatively bounded. The result is applied to approximations of positive elements in the domain of T.
Reviewer: H.Siedentop
MSC:
35J10 | Schrödinger operator, Schrödinger equation |
47B25 | Linear symmetric and selfadjoint operators (unbounded) |
81Q10 | Selfadjoint operator theory in quantum theory, including spectral analysis |
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