Letters in Mathematical Physics

, Volume 38, Issue 4, pp 343–348 | Cite as

Towards localisation by Gaussian random potentials in multi-dimensional continuous space

  • Werner Fischer
  • Hajo Leschke
  • Peter Müller


A rigorous proof is outlined to exclude the absolutely continuous spectrum at sufficiently low energies for a quantum-mechanical particle moving in multi-dimensional Euclidean space under the influence of certain Gaussian random potentials, which are homogeneous with respect to Euclidean translations.

Mathematics subject classifications(1991)

81Q10 47B80 35J10 

Key words

Random Schrödinger operators Localisation 


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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Werner Fischer
    • 1
  • Hajo Leschke
    • 1
  • Peter Müller
    • 1
  1. 1.Institut für Theoretische PhysikUniversität Erlange-NürnbergErlangenGermany

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