논문KCI 등재
Quantum graph of Sierpinski gasket type in electric field
대한수학회 (The Korean Mathematical Society)|2016.04|대한수학회논문집 (Communications of the KMS)|제31권 제2호|pp. 263-275
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Quantum graph of Sierpinski gasket type with attached leads in an electric field is considered. We study the dependence of the transmission coefficient via the wave number of the quantum particle. It has strongly resonance character. The influence of the amplitude and the orientation of the electric field on the coefficient is investigated.
Abstract
Quantum graph of Sierpinski gasket type with attached leads in an electric field is considered. We study the dependence of the transmission coefficient via the wave number of the quantum particle. It has strongly resonance character. The influence of the amplitude and the orientation of the electric field on the coefficient is investigated.
참고문헌 (15)
- O. Ben-Bassat, "What is not in the domain of the Laplacian on Sierpinski gasket type fractals", J. Funct. Anal, 166(2), pp.197~217 (1999)
- I. V. Blinova, "Quantum graph of Sierpinski gasket type: computational experiment", Russ. J. Math. Phys, 14(4), pp.338~396 (2007)
- A. N. Bondarenko, "Spectral surgery of quantum graphs", Sib. Xh. Ind. Mat, 7(4), pp.16~28 (2004)
- P. Exner, "Leaky quantum graphs: a review, Analysis on graphs and its applications", Proc. Sympos. Pure Math, 77, pp.523~564 (2008), Amer. Math. Soc
- Y. Higuchi, "The spectrum of magnetic Schrodinger operators on a graph with periodic structure", J. Funct. Anal, 169(2), pp.456~480 (1999)
- J. Kigami, "A harmonic calculus on the Sierpinski spaces", Japan J. Indust. Appl. Math, 6(2), pp.259~290 (1989)
- J. Kigami, "Harmonic calculus on p.c.f. self-similar sets", Trans. Amer. Math. Soc, 335(2), pp.721~755 (1993)
- J. Kigami, "Analysis on Fractals" (2001), Cambridge University Press
- Kyoto, 1985), "Probabilistic methods in mathematical physics (Katata", pp.1987, A. Kusuoka
- L. D. Landau, "Quantum Mechanics (non-relativistic theory)" (1989)
- I. S. Lobanov, "Scattering by a junction of zig-zag and armchair nan-otubes", Nanosystems: Physics, Chemistry, Mathematics, 3(2), pp.6~28 (2012)
- B. B. Mandelbrot, "The Fractal Geometry of Nature" (1982), W. H. Freeman and Company
- I. Yu. Popov, "On the mesoscopic gate", Acta Phys. Polonica A, 88(6), pp.1113~1117 (1995)
- G. Tanner, "The autocorrelation function for spectral determinants of quantum graphs", J. Phys. A, 35(29), pp.5985~5995 (2002)
- A. Teplyaev, "Spectral Analysis on Infinite Sierpinski Gaskets", J. Funct. Anal, 159(2), pp.537~567 (1998)
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