| Presentation | 2005/6/9 Difference between Random Walk and Wave Propagation by Discrete Time Analysis Nobuo NAGAI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The simplest definition of the random walk is given by discrete time and probability distribution, and presented by the binomial theorem. That is, the distribution of random walk is presented by a term for a position x. In electromagnetic theory electric and magnetic fields satisfy the same wave equation derived from Maxwell equations. The solutions for the wave equation are expressed by two moving waves, i.e. forward wave and backward wave, and two waves appear at different time for a position x. So we try to present wave propagation by discrete time representation. As a result, the forward and backward waves are presented by different geometrical progressions respectively. This means that we need coherent wave for the resonance occurring in wave function. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Random walk and binomial theorem / Discrete time presentation / Lossless Telegraphers' equations and wave equation / Discrete time presentation for wave function / Forward and backward waves and resonant phenomena |
| Paper # | SIS2005-11 |
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| Conference Information | |
| Committee | SIS |
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| Conference Date | 2005/6/9(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Smart Info-Media Systems (SIS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Difference between Random Walk and Wave Propagation by Discrete Time Analysis |
| Sub Title (in English) | |
| Keyword(1) | Random walk and binomial theorem |
| Keyword(2) | Discrete time presentation |
| Keyword(3) | Lossless Telegraphers' equations and wave equation |
| Keyword(4) | Discrete time presentation for wave function |
| Keyword(5) | Forward and backward waves and resonant phenomena |
| 1st Author's Name | Nobuo NAGAI |
| 1st Author's Affiliation | Faculty of Economics, Hokusei Gakuen University() |
| Date | 2005/6/9 |
| Paper # | SIS2005-11 |
| Volume (vol) | vol.105 |
| Number (no) | 111 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |