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Finite Trotter Approximation to the Averaged Mean Square Distance in the Anderson Model

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Abstract

We prove that a finite Trotter approximation to the averaged mean square distance traveled by a particle in a disordered system on a lattice ℤd exhibits at most a diffusive behavior in dimensions d≥3 as long as the Fourier transform of the single-site probability, \(\hat{\mu }\), is in L 2(ℝ).

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Authors and Affiliations

  1. Sirindhorn International Institute of Technology, Thammasat University–Rangsit Center, Pathumthani, 12121, Thailand

    S. Suwanna

  2. Department of Mathematics, University of Virginia, Charlottesville, VA, 22903, USA

    S. Suwanna

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  1. S. Suwanna
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Suwanna, S. Finite Trotter Approximation to the Averaged Mean Square Distance in the Anderson Model. J Stat Phys 136, 1131–1175 (2009). https://doi.org/10.1007/s10955-009-9817-y

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  • DOI: https://doi.org/10.1007/s10955-009-9817-y

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