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Article type: Research Article
Authors: Benedetto, D.; | Esposito, R.; | Pulvirenti, M.
Affiliations: Dipartimento di Matematica Università di Roma ‘La Sapienza’, P.le A. Moro, 5, 00185 Roma, Italy | Centro Linceo Interdisciplinare “Beniamino Segre”, Via della Lungara 10, 00165 Roma, Italy | Dipartimento di Matematica Pura ed Applicata, Università di L'Aquila, Coppito, 67100 L'Aquila, Italy
Note: [] Corresponding author.
Abstract: We consider a quantum particle scattered by an obstacle localized around the origin. We look at the time evolution in a large space‐time scale, O(ε−1), assuming as initial datum a suitable WKB state with an amplitude varying on scale ε−1. We study asymptotic behavior of the solution when ε vanishes. Our analysis is complementary to the one performed by Nier (Transport Theory Statist. Phys. 24(4–5) (1995), 591–629; Ann. Sci. École Norm. Sup. (4) 29 (1996), 149–183) who studied the same problem directly in terms of the Wigner formalism.
Journal: Asymptotic Analysis, vol. 40, no. 2, pp. 163-187, 2004
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