On the transfer-matrix approach to the scattering problem for the self-similar fractal potential and Cantor staircase
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Published:2010-08-06
Issue:3
Volume:2
Page:179-186
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ISSN:2070-0466
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Container-title:P-Adic Numbers, Ultrametric Analysis, and Applications
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language:en
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Short-container-title:P-Adic Num Ultrametr Anal Appl
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference9 articles.
1. K. A. Makarov and B. S. Pavlov, “Quantum scattering on a Cantor bar,” J. Math. Phys. 35, 1522–1531 (1994).
2. Ch.-A. Guerin and M. Holschneider, “Scattering on fractal measures,” J. Phys. A: Math. Gen. 29, 7651–7667 (1996).
3. N. L. Chuprikov, “The transfer matrices of the self-similar fractal potentials on the Cantor set,” J. Phys. A: Math. Gen. 33, 4293–4308 (2000); see also Corrigendum: J. Phys. A: Math. Theor. 41, 379801 (1pp) (2008).
4. N. L. Chuprikov and D. N. Zhabin, “Electron tunnelling through a self-similar fractal potential on the generalized Cantor set,” J. Phys. A: Math. Gen. 33, 4309–4316 (2000).
5. N. L. Chuprikov and O. V. Spiridonova, “A new type of solution of the Schrö dinger equation on a self-similar fractal potential,” J. Phys. A: Math. Gen. 39, L559–L562 (2006); see also Corrigendum: J. Phys. A: Math. Theor. 41, 409801 (4pp) (2008).