Communications in Mathematical Physics

, Volume 136, Issue 1, pp 35–41 | Cite as

Exponential decay of Green's functions for a class of long range Hamiltonians

  • Wei-Min Wang


We consider a class of long range Hamiltonians with diagonal disorder onl2 (Z). For anyergodic potentialV with non-empty essential range, we prove the exponential decay of the Green's functions for energies in the essential range. IfV is independent identically distributed, we obtain the exponential decay of the Green's functions for all coupling constant λ>0. Moreover the Hamiltonian has only pure point spectrum.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Long Range 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Wei-Min Wang
    • 1
  1. 1.Department of PhysicsPrinceton UniversityPrincetonUSA

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