For numerical solution the problem on passage of particle through potential barrier the simple visual model is used. The time evolution of wave function is calculated using discrete analog of the Klein - Gordon equation. It is shown, that use of Fourier transformation allows to obtain full energy dependence of barrier transmission coefficient in a single numerical experiment. The results are compared with known analytical solutions.
наноструктура, потенциальный барьер, квантовые эффекты, моделирование, nanostructure, potential barrier, quantum effects, modeling
1. A. I. Gusev, Nanomaterialy, nanostruktury, nanotehnologii. Fizmatlit, Moskva, 2007, 416 s.
2. S. I. Vol'fson, N. A. Ohotina, A. I. Nigmatullina, Vestnik KGTU, 4, 2013, 144.
3. I. I. Chechetkina, Vestnik KGTU, 1, 2013, 11.
4. A. Zhang, Z. Cao, Q. Shen, X. Dou, Y. Chen, I. Phys. A: Math. Gen. 33, 2000, 5449.
5. A. N. Temnikov, Vestnik KGTU, 19, 2012, 13.
6. A.A. Harkevich, Spektry i analiz. Gos. izd-vo fiz.-mat. lit-ry, Moskva, 1962. 236 s.
7. en/vikipedia.org/wiki/Rectangular_potential_barrier