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Commutator methods and a smoothing property of the Schrödinger evolution group

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References

  1. Hunziker, W.: On the space-time behavior of Schrödinger wavefunctions. J. Math. Phys.7, 300–304 (1966)

    Google Scholar 

  2. Kato, T.: Perturbation theory for linear operators. Second Edition. Berlin-Heidelberg-New York: Springer 1976

    Google Scholar 

  3. Kon, M.: Problem #6 in Problem List, Partial Differential Operators. Notices Am. Math. Soc.31, 631–633 (1984)

    Google Scholar 

  4. Perry, P.: Propagation of states in dilation analytic potentials and asymptotic completeness. Commun. Math. Phys.81, 243–259 (1981)

    Google Scholar 

  5. Radin, C., Simon, B.: Invariant domains for the time-dependent Schrödinger equation. J. Differ. Equations29, 289–296 (1978)

    Google Scholar 

  6. Simon, B.: Schrodinger semigroups. Bull. Am. Math. Soc.7, 447–526 (1982)

    Google Scholar 

  7. Simon, B.: Schrodinger semigroups on the scale of Sobolev spaces. Pacific J. Math., to appear

  8. Wilcox, C.: Uniform asymptotic estimates for wave packets in the quantum theory of scattering. J. Math. Phys.6, 611–620 (1965)

    Google Scholar 

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Partially supported by NSF grant MDS-8401748

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Jensen, A. Commutator methods and a smoothing property of the Schrödinger evolution group. Math Z 191, 53–59 (1986). https://doi.org/10.1007/BF01163609

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