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Communications in Mathematical Physics

, Volume 134, Issue 1, pp 209–212 | Cite as

Absence of ballistic motion

  • Barry Simon
Article

Abstract

For large classes of Schrödinger operators and Jacobi matrices we prove that ifh has only one point spectrum then for φ0 of compact support
$$\mathop {\lim }\limits_{t \to \infty } t^{ - 2} \left\| {xe^{ - ith} \phi _0 } \right\|^2 = 0.$$

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Large Classis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Cycon, H., Froese, R., Kirsch, W., Simon, B.: Schrödinger Operators. Berlin, Heidelberg, New York: Springer 1987Google Scholar
  2. 2.
    Radin, C., Simon, B.: Invariant domains for the time-dependent Schrödinger equation. J. Diff. Eq.29, 289–296 (1978)Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Barry Simon
    • 1
  1. 1.Division of Physics, Mathematics, and AstronomyCalifornia Institute of TechnologyPasadenaUSA

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