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Bounds on exponential decay of eigenfunctions of Schrödinger operators

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Schrödinger Operators

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1159))

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References

  1. S. Agmon, Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations, Princeton University Press, 1982.

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  2. S. Agmon, Lectures on Elliptic Boundary Value Problems, Van Nostrand, Princeton, 1965.

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  3. R. Carmona and B. Simon, Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, V: Lower bounds and path integrals, Comm. Math. Phys. 80(1981), 59–98.

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  4. D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin and New York, 1977.

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  5. A. Persson, Bounds for the discrete part of the spectrum of a semi-bounded Schrödinger operator, Math. Scand. 8(1960), 143–153.

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  6. M. Reed and B. Simon, Methods of Modern Mathematical Physics, IV, Analysis of Operators, Academic Press, New York, 1978.

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  7. G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier 15 (1965), 189–258.

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Author information

Authors and Affiliations

  1. The Hebrew University, Jerusalem

    Shmuel Agmon

Authors
  1. Shmuel Agmon
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica,, Università di Bologna, 40127, Bologna, Italy

    Sandro Graffi

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© 1985 Springer-Verlag Berlin Heidelberg

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Agmon, S. (1985). Bounds on exponential decay of eigenfunctions of Schrödinger operators. In: Graffi, S. (eds) Schrödinger Operators. Lecture Notes in Mathematics, vol 1159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080331

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  • DOI: https://doi.org/10.1007/BFb0080331

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16035-9

  • Online ISBN: 978-3-540-39706-9

  • eBook Packages: Springer Book Archive

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