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Absence of ballistic motion


For large classes of Schrödinger operators and Jacobi matrices we prove that ifh has only one point spectrum then for φ0 of compact support

$$\mathop {\lim }\limits_{t \to \infty } t^{ - 2} \left\| {xe^{ - ith} \phi _0 } \right\|^2 = 0.$$

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Research partially supported by NSF grant number DMS-8801918

Communicated by T. Spencer

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Simon, B. Absence of ballistic motion. Commun.Math. Phys. 134, 209–212 (1990).

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  • Neural Network
  • Statistical Physic
  • Complex System
  • Nonlinear Dynamics
  • Large Classis