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Spectral properties of Schrodinger operators with trapping potentials in the semi-classical limit

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Differential Equations and Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1285))

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References

  1. Agmon, S: Lectures on exponential decay of solutions of second order elliptic operators. Princeton University Press, (1982).

    Google Scholar 

  2. Asbaugh, M. Harrell, E.: Comm. Math. Phys. 83, 151, (1982)

    Article  MathSciNet  Google Scholar 

  3. Briet, Ph., Combes, J.M., Duclos, P.: On the location of resonances in the semi-classical limit I: Preprint Marseille CPT86/P. 1829. To appear in Jour.Math.Anal.Appl.

    Google Scholar 

  4. Briet, P., Combes, J.M., Duclos, P.: On the location of resonances in the semi-classical limit II: Preprint Marseille CPT 86/P. 1884. To appear in Com. Part.Diff.Equ.

    Google Scholar 

  5. Briet, Ph., Combes, J.M., Duclos, P.: Spectral stability through tunneling. To appear.

    Google Scholar 

  6. Briet, Ph., Combes, J.M., Duclos, P., Sigal, I.: Spectral deformations, non-trapping and resonances. To appear.

    Google Scholar 

  7. Combes, J.M., Duclos, P., Seiler, R.: J. Funct. Anal. 52, 257, (1983).

    Article  MathSciNet  Google Scholar 

  8. Combes, J.M., Duclos, P., Seiler, R.: Comm. Math. Phys. 92, 229, (1983).

    Article  MathSciNet  Google Scholar 

  9. Combes, J.M., Duclos, P., Seiler, R.: Springer Lecture Notes in Physics, 211, 64, (1984).

    Article  MathSciNet  Google Scholar 

  10. Combes, J.M., Duclos, P., Klein, M., Seiler, R.: The shape resonance, Marseille Preprint CPT85 / P. 1797. To appear in Com. Math. Phys.

    Google Scholar 

  11. Claverie, P., Jona-Lasinio, G.: Preprint LPTHE 84142.

    Google Scholar 

  12. Graffi, S., Grecchi, V., Jona-Lasinio, G.: J. Phys. A17, 2935, (1984).

    MathSciNet  Google Scholar 

  13. Harrell, E.: Comm. Math. Phys. 119, 351, (1979)

    MathSciNet  Google Scholar 

  14. Harrell, E.: Ann.Phys. 75,239,(1980).

    MathSciNet  Google Scholar 

  15. Helffer, B., Sjöstrand, J.: Comm. Part.Diff.Equ. 9, 337, (1984).

    Article  Google Scholar 

  16. Helffer, B., Sjöstrand, J.: Ann. Inst.H.Poincaré 2, 127, (1985).

    Google Scholar 

  17. Helffer, B., Sjöstrand, J.: Resonances en limite semi-classique. To appear Bulletin SMF.

    Google Scholar 

  18. Hislop, P. Sigal, I.: Proceedings of this conference.

    Google Scholar 

  19. W.Hunziker: Distortion Analyticity and molecular resonance Curves. To appear in Ann.Inst.H.Poincaré.

    Google Scholar 

  20. Jona-Lasinio, G., Martinelli, F., Scoppola, E.: Comm. Math. PHys. 80, 223, (1981).

    Article  MathSciNet  Google Scholar 

  21. Jona-Lasinio, G., Martinelli, F., Scoppola, E.: Ann. Inst. H. Poincaré 43, 2,(1985).

    Google Scholar 

  22. Kato, T.: Perturbation theory for linear operators, Berlin, Heidelberg, New York, Springer 1966.

    Book  MATH  Google Scholar 

  23. Outassourt, A.: Comportement semi-classique pour l'opérateur de Schrödinger à potentiel périodique. Thèse de Jème cycle, Nates, (1985).

    Google Scholar 

  24. Simon B.: Ann. Inst.H.Poincaré 38, 295, (1983).

    Google Scholar 

  25. Simon B.: Ann. Math. 120, 89, (1984).

    Article  Google Scholar 

  26. Simon B.: Ann. Phys. 158, 415, (1984).

    Article  Google Scholar 

  27. Simon B.: Jour. Funct. Anal. 63, 123 (1985).

    Article  Google Scholar 

  28. Simon B.: Phys. Letters 71A, 211, (1979).

    Article  Google Scholar 

  29. Sjöstrand,J.: Semi classical resonances generated by non-degenerate critical points. Preprint, Lund No. 1986: 1/ISSNO347-475.

    Google Scholar 

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Author information

Author notes

  1. Ph. Briet & P. Duclos

    Present address: CPT, CNRS, Luminy Case 907, F13288, Marseille cedex 9, France

Authors and Affiliations

  1. Mathematics Department, University of California, 92717, Irvine, California, USA

    J. M. Combes

  2. Departement de Mathématiques, Université de Toulon, 83130, La Garde, France

    Ph. Briet & P. Duclos

Authors
  1. J. M. Combes
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  2. Ph. Briet
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  3. P. Duclos
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Editor information

Ian W. Knowles Yoshimi Saitō

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© 1987 Springer-Verlag

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Combes, J.M., Briet, P., Duclos, P. (1987). Spectral properties of Schrodinger operators with trapping potentials in the semi-classical limit. In: Knowles, I.W., Saitō, Y. (eds) Differential Equations and Mathematical Physics. Lecture Notes in Mathematics, vol 1285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080581

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  • DOI: https://doi.org/10.1007/BFb0080581

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18479-9

  • Online ISBN: 978-3-540-47983-3

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