Abstract
We discuss perturbations in the random potential as well as in the deterministic part of the Hamilton operator describing a tight binding model. Special attention is given to the Borel summability of the perturbation series in the power of the random potential with applications to the instanton singularity. Some other results concerning the region of low disorder are mentioned.
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Constantinescu, F., Scharffenberger, U. (1990). Perturbation Theory for Random Disordered Systems. In: Albeverio, S., Streit, L., Blanchard, P. (eds) Stochastic Processes and their Applications. Mathematics and Its Applications (Soviet Series), vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2117-7_7
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DOI: https://doi.org/10.1007/978-94-009-2117-7_7
Publisher Name: Springer, Dordrecht
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