Dimension of eigenspaces of Schrödinger operators - Local Birman- Schwinger bound

DOI10.1016/0034-4877(85)90039-4zbMath0587.47025OpenAlexW2054338137MaRDI QIDQ1072083

Heinz Siedentop

Publication date: 1985

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(85)90039-4

zbMATH Keywords

Birman-Schwinger boundbound on the dimension of eigenspaces of the Schrödinger operatorsRollnik class

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (3)

Modification of Müller's variational principle for Schrödinger operators with spherical symmetric potential ⋮ On a generalization of Rouché's theorem for trace ideals with applications for resonances of Schrödinger operators ⋮ The generalized Birman–Schwinger principle

Cites Work

• Lower bounds to eigenvalues using operator decompositions of the form \(B*B\)
• Truncations in the method of intermediate problems for lower bounds to eigenvalues
• A variational principle for eigenvalue bounds
• Modified Ritz Method
• The spectrum of singular boundary problems
• Lower Bounds for Eigenvalues of Schrödinger's Equation
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