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Random media and quasi-classical limit of Schrödinger operator

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Publication:1058057
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DOI10.3792/pjaa.60.43zbMath0564.35025OpenAlexW2095074222MaRDI QIDQ1058057

Shin Ozawa

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.43


zbMATH Keywords

Schrödinger operatorrandom mediaDirichlet conditionquasi-classical limit


Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) PDEs with randomness, stochastic partial differential equations (35R60)


Related Items (1)

Spectral properties of random media



Cites Work

  • On an elaboration of M. Kac's theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles
  • A shape of eigenfunction of the Laplacian under singular variation of domains
  • Potential and scattering theory on wildly perturbed domains
  • Probabilistic methods in some problems of scattering theory
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