English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The aim of this paper is to review and compare the spectral properties of(the closed extension of) --$\Delta$ + U (V $\ge$ 0) and --$\Delta$ + iV in L 2(R^d) for C $\infty$ real potentials U or V with polynomial behavior. The casewith magnetic field will be also considered. More precisely, we would like topresent the existing criteria for: $\bullet$ essential selfadjointness ormaximal accretivity $\bullet$ Compactness of the resolvent. $\bullet$ Maximalinequalities, i.e. the existence of C > 0 such that, $\forall$u $\in$C^$\infty$\_0 (R ^d), ||u||^2 \_{H^2 (R^d)} + ||U u||^2 \_{L^2 (R^d)}$\le$ C||(--$\Delta$ + U)u||^2\_{L^2 (R^d)} + ||u||^2\_{L^2 (R^d)}or similar estimatesfor $-\Delta + i V$.

On the domain of a magnetic Schr\"odinger operator with complex electric potential