A novel approach to Bohmian mechanics using an uncompressed particle method
| Autor: | Hiroki Sugisawa, Motohiro Mizuno, Tomonori Ida, Yuta Hori |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
De Broglie–Bohm theory 010304 chemical physics Gaussian Quantum potential Probability density function 010402 general chemistry Condensed Matter Physics 01 natural sciences Atomic and Molecular Physics and Optics 0104 chemical sciences Electronic Optical and Magnetic Materials Uncompressed video symbols.namesake 0103 physical sciences symbols Particle Node (circuits) Statistical physics Harmonic oscillator |
| Zdroj: | Physica E: Low-dimensional Systems and Nanostructures. 104:320-326 |
| ISSN: | 1386-9477 |
| Popis: | We propose extending Bohmian mechanics (BM) with the moving particle semi-implicit method, a particle method for uncompressed fluids. The application of this method prevents the node of the Bohm quantum potential from breaking numerical calculations while maintaining a low calculation cost. We validated our extended method by comparing our results with those from the conventional method for a one-dimensional harmonic oscillator, Gaussian barrier and rectangular barrier. The proposed method was found to simulate the temporal changes in the probability density for a rectangular barrier. In addition, the relational equation obtained by this method reveals an interesting correspondence between the pressure of a classical fluid and the Bohm quantum potential. |
| Databáze: | OpenAIRE |
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