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On Spectral Estimates for the Schrodinger Operators in Global Dimension 2

Grigori Rozenblioum (Institutionen för matematiska vetenskaper, matematik) ; M. Solomyak
St Petersburg Mathematical Journal (1061-0022). Vol. 25 (2014), 3, p. 495-505.
[Artikel, refereegranskad vetenskaplig]

The problem of finding eigenvalue estimates for the Schrodinger operator turns out to be most complicated for the dimension 2. Some important results for this case have been obtained recently. In the paper, these results are discussed, and their counterparts are established for the operator on the combinatorial and metric graphs corresponding to the lattice Z(2).

Nyckelord: Eigenvalue estimates, Schrodinger operator, metric graphs, local dimension

Art. no: PII S1061-0022(2014)01301-5

Denna post skapades 2014-11-18. Senast ändrad 2014-12-15.
CPL Pubid: 205948


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