| Presentation | 2019-03-14 An Analytical Method of Computing Electron Trajectories on Waveguides by the Superposition of Single-Mode Wave Propagation Shota Hayakawa, Hisato Fujisaka, Takeshi Kamio, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we obtain analytically behaviors of electron wave packets and probabilistic particle model of electrons on electron waveguides with stubs. A wave function on the waveguide to which a sinusoidal incident electron wave is given is obtained by the mode-matching method. From the obtained wave function, single-mode electron wave packet is analytically computed as a function of momentum. From the packet in momentum representation, time-evolving wave packet that is a function of position and its derivative are obtained analytically in the form of Fourier integral. A nonlinear stochastic ordinary differential equation is established from the wave packet and its derivative. This equation describes electrons as probabilistic particles. This paper presented examples of the time-evolving wave packets and trajectories of the particle model of electrons. By comparing the examples with those obtained by the finite difference method, it was shown that the results of the presented analytical method were reliable. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | electron waveguide / stub / mode-matching method / electron wave packet / probabilistic particle model / nonlinear stochastic ordinary differential equation |
| Paper # | NLP2018-125 |
| Date of Issue | 2019-03-07 (NLP) |
| Conference Information | |
| Committee | NLP / MSS |
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| Conference Date | 2019/3/14(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Bunkyo Camp., Univ. of Fukui |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | SICE-DES, IEICE-MSS, IEICE-NLP, Work In Progress, and etc. |
| Chair | Norikazu Takahashi(Okayama Univ.) / Morikazu Nakamura(Univ. of Ryukyus) |
| Vice Chair | Hiroaki Kurokawa(Tokyo Univ. of Tech.) / Shigemasa Takai(Osaka Univ.) |
| Secretary | Hiroaki Kurokawa(Hiroshima Inst. of Tech.) / Shigemasa Takai(Nippon Inst. of Tech.) |
| Assistant | Masayuki Kimura(Kyoto Univ.) / Yutaka Shimada(Saitama Univ.) / Hideki Kinjo(Okinawa Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Mathematical Systems Science and its applications |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Analytical Method of Computing Electron Trajectories on Waveguides by the Superposition of Single-Mode Wave Propagation |
| Sub Title (in English) | |
| Keyword(1) | electron waveguide |
| Keyword(2) | stub |
| Keyword(3) | mode-matching method |
| Keyword(4) | electron wave packet |
| Keyword(5) | probabilistic particle model |
| Keyword(6) | nonlinear stochastic ordinary differential equation |
| 1st Author's Name | Shota Hayakawa |
| 1st Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 2nd Author's Name | Hisato Fujisaka |
| 2nd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 3rd Author's Name | Takeshi Kamio |
| 3rd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| Date | 2019-03-14 |
| Paper # | NLP2018-125 |
| Volume (vol) | vol.118 |
| Number (no) | NLP-498 |
| Page | pp.pp.7-12(NLP), |
| #Pages | 6 |
| Date of Issue | 2019-03-07 (NLP) |