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The spectrum of defect periodic point interactions

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Publication:793956
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DOI10.1007/BF00400437zbMath0539.47003OpenAlexW2077268678MaRDI QIDQ793956

Fabio Martinelli, Helge Holden, Raphael J. Høegh-Krohn

Publication date: 1983

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00400437


zbMATH Keywords

resolventHamiltonianintegral kernelnegative part of the spectrumthree-dimensional Schrödinger operator


Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Quantum equilibrium statistical mechanics (general) (82B10)


Related Items (5)

Schrödinger operators with point interactions and short range expansions ⋮ On energy gaps in a new type of analytically solvable model in quantum mechanics ⋮ Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions ⋮ Unnamed Item ⋮ Transition matrix of point interactions as the scaling limit of integrable potentials on the real line



Cites Work

  • Unnamed Item
  • The spectrum of the three-dimensional Kronig-Penney model with random point defects


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