References
Hunziker, W.: On the space-time behavior of Schrödinger wavefunctions. J. Math. Phys.7, 300–304 (1966)
Kato, T.: Perturbation theory for linear operators. Second Edition. Berlin-Heidelberg-New York: Springer 1976
Kon, M.: Problem #6 in Problem List, Partial Differential Operators. Notices Am. Math. Soc.31, 631–633 (1984)
Perry, P.: Propagation of states in dilation analytic potentials and asymptotic completeness. Commun. Math. Phys.81, 243–259 (1981)
Radin, C., Simon, B.: Invariant domains for the time-dependent Schrödinger equation. J. Differ. Equations29, 289–296 (1978)
Simon, B.: Schrodinger semigroups. Bull. Am. Math. Soc.7, 447–526 (1982)
Simon, B.: Schrodinger semigroups on the scale of Sobolev spaces. Pacific J. Math., to appear
Wilcox, C.: Uniform asymptotic estimates for wave packets in the quantum theory of scattering. J. Math. Phys.6, 611–620 (1965)
Author information
Authors and Affiliations
Additional information
Partially supported by NSF grant MDS-8401748
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01163609