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Unitary equivalence of stark Hamiltonians

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References

  1. Avron, J., Herbst, I.: Spectral and scattering theory of Schrödinger operators related to the Stark effect. Commun. math. Phys. (To appear)

  2. Agmon, S.: Spectral properties of Schrödinger operators. In: Actes du Congres International des Mathematicians. (Nice 1970) Part II, pp. 679–684. Paris: Gauthier-Villars 1971

    Google Scholar 

  3. Agmon, S.: Spectral properties of Schrödinger operators and scattering theory. Ann. Sc. norm. super. Pisa, Cl. sci., IV. Ser.2, 151–218 (1975)

    Google Scholar 

  4. Kato, T.: Wave operators and similarity for some nonselfadjoint operators. Math. Ann.162, 258–279 (1966)

    Google Scholar 

  5. Kato, T.: Smooth operators and commutators. Studia math.31, 535–546 (1968)

    Google Scholar 

  6. Kato, T., Kuroda, S. T.: Theory of simple scattering and eigenfunction expansions. In: Functional Analysis and Related Fields. (Chicago 1968) pp. 99–131. Berlin-Heidelberg-New York: Springer 1970

    Google Scholar 

  7. Kuroda, S.: On the Hölder continuity of an integral involving Bessel functions. Quart. J. Math. Oxford, II. Ser.21, 71–81 (1970)

    Google Scholar 

  8. Lavine: Commutators and scattering theory II. A class of one body problems. Indiana Univ. Math. J.21, 643–656 (1972). Correction:22, 401 (1972)

    Google Scholar 

  9. Reed, M., Simon, B.: Methods of Modern Mathematical Physics. Vol. 3. New York-London: Academic Press (To appear)

  10. Abramowitz, M., Stegun, I.: Airy Functions and Numerical Methods. In: Handbook of Mathematical Functions. pp. 446–455. New York: Dover 1965

    Google Scholar 

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  1. Joseph Henry Laboratories of Physics, Princeton University, 08540, Princeton, New Jersey, USA

    Ira W. Herbst

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  1. Ira W. Herbst
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Supported in part by a National Science Foundation grant

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Herbst, I.W. Unitary equivalence of stark Hamiltonians. Math Z 155, 55–70 (1977). https://doi.org/10.1007/BF01322607

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