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Wave operators for dilation-analytic three - body hamiltonians

Part of the Lecture Notes in Mathematics book series (LNM,volume 1218)

Keywords

  • Essential Spectrum
  • Positive Eigenvalue
  • Wave Operator
  • Spectral Projection
  • Dilate Operator

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References

  1. E. Balslev, Analytic scattering theory of quantum-mechanical three-body Systems, Ann. Inst. H. Poincaré XXXII, 2 (1980), 125–160.

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  2. Aarhus University, Preprint 1978/79 No. 26.

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  3. E. Balslev, Wave operators for dilation-analytic three-body Hamiltonians, Aarhus University, Preprint 1986.

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  4. E. Balslev and E. Skibsted, Boundedness of two-and three-body resonances, Ann. Inst. H. Poincaré 43, 4 (1985), 369–397.

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  5. J. Ginibre and M. Moulin, Hilbert space approach to the quantum-mechanical three-body problem, Ann. Inst. H. Poincaré XXI, 2 (1974), 97–145.

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  6. K. Hoffmann, Banach Spaces of Analytic Functions, London 1962.

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  7. T. Kato, Wave operators and similarity for some none-self-adjoint operators, Math. Ann. 162 (1966), 258–279.

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  8. C. van Winter, The resolvent of a dilation-analytic three-particle system, J. Math. Anal. Appl. 101 (1984), No. 1, 195–267.

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  9. K. Yajima, An abstract stationary approach to three-body scattering, J. Fac. Sci. Univ. Tokyo, Sect. IA 25 (1978), 109–132.

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© 1986 Springer-Verlag

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Balslev, E. (1986). Wave operators for dilation-analytic three - body hamiltonians. In: Balslev, E. (eds) Schrödinger Operators, Aarhus 1985. Lecture Notes in Mathematics, vol 1218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073043

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  • DOI: https://doi.org/10.1007/BFb0073043

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  • Print ISBN: 978-3-540-16826-3

  • Online ISBN: 978-3-540-47119-6

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