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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Absolute continuity of Hamiltonians with von Neumann-Wigner potentials
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by Horst Behncke PDF
Proc. Amer. Math. Soc. 111 (1991), 373-384 Request permission

Abstract:

For separated Dirac and Schrödinger operators whose potentials have oscillatory decaying terms the asymptotics of the eigenfunctions is determined. From this the absolute continuity of the spectrum off a finite resonance set and a limiting absorption principle is derived.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 373-384
  • MSC: Primary 34L40; Secondary 34B20, 47E05, 81Q10
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1036983-3
  • MathSciNet review: 1036983