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Functional-Analytic Methods for Partial Differential Equations pp 173–186Cite as

Existence of bound states for double well potentials and the Efimov effect

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References

  1. Efimov, V.: Energy levels arising from resonant two-body forces in a three-body system, Phys. Lett., B 33 (1970), 563–564.

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  2. Jensen, A. and Kato, T.: Spectral properties of Schrödinger operators and time-decay of the wave functions, Duke J. Math., 46 (1979), 583–611.

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  3. Klaus, M. and Simon, B.: Binding of Schrödinger particles through conspiracy of potential wells, Ann. Inst. H. Poincaré, Sect. A 30 (1979), 83–87.

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  4. Murata, M.: Asymptotic expansion in time for solutions of Schrödinger-type equations, J. Func. Anal., 49 (1982), 10–56.

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  5. Newton, R. G.: Scattering Theory of Waves and Particles, 2-nd edition, Springer-Verlag, 1982.

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  6. Ovchinnikov, Yu. N. and Sigal, I. M.: Number of bound states of three-body systems and Efimov's effect, Ann. of Phys., 123 (1979), 274–295.

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  7. Tamura, H.: The Efimov effect of three-body Schrödinger operators, Preprint, 1989, Ibaraki University (to be published in Func. Anal.).

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Authors and Affiliations

  1. Department of Mathematics, Ibaraki University, 310, Mito, Ibaraki, Japan

    Hideo Tamura

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  1. Hideo Tamura
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Hiroshi Fujita Teruo Ikebe Shige Toshi Kuroda

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© 1990 Springer-Verlag

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Tamura, H. (1990). Existence of bound states for double well potentials and the Efimov effect. In: Fujita, H., Ikebe, T., Kuroda, S.T. (eds) Functional-Analytic Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 1450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084905

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  • DOI: https://doi.org/10.1007/BFb0084905

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53393-1

  • Online ISBN: 978-3-540-46818-9

  • eBook Packages: Springer Book Archive

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