Difference between revisions of "Can a Matter-Wave Interferometer Detect Translational Speed?"
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==Abstract== | ==Abstract== | ||
| − | Based only on the Galilean addition of velocities and the de Broglie relation, it is deduced that in a matter-wave interferometer with slow-speed particles, a moving segment of deltaL with a velocity V contributes deltaPhi = (2Pi/vlamda)VdotdeltaL to the total phase difference of the interferometer, where v is the speed of the particles and lamda is the wavelength.. This expression is exactly the same as the generalized Sagnac effect for light waves found by experiments except that v is replaced by c. For a rotational motion, it leads to the Sagnac effect. Additionally, the scientific value of this relationship is also to explore the possibility of detecting translation speeds by a matter-wave interferometer. Two configurations of the experimental setup have been indicated and the key element is that the paths of the interfering beams constitute a loop with an opening. If the possibility is confirmed by experiments, the conclusions will be that there is a preferred reference frame for matter waves and a speedometer with a very high sensitivity is possible. | + | Based only on the Galilean addition of velocities and the de Broglie relation, it is deduced that in a matter-wave interferometer with slow-speed particles, a moving segment of deltaL with a velocity V contributes deltaPhi = (2Pi/vlamda)VdotdeltaL to the total phase difference of the interferometer, where v is the speed of the particles and lamda is the wavelength.. This expression is exactly the same as the generalized Sagnac effect for light waves found by experiments except that v is replaced by c. For a rotational motion, it leads to the Sagnac effect. Additionally, the scientific value of this relationship is also to explore the possibility of detecting translation speeds by a matter-wave interferometer. Two configurations of the experimental setup have been indicated and the key element is that the paths of the interfering beams constitute a loop with an opening. If the possibility is confirmed by experiments, the conclusions will be that there is a preferred reference frame for matter waves and a speedometer with a very high sensitivity is possible. |
| − | [[Category:Relativity]] | + | [[Category:Scientific Paper|matter-wave interferometer detect translational speed]] |
| + | |||
| + | [[Category:Relativity|matter-wave interferometer detect translational speed]] | ||
Latest revision as of 19:22, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | Can a Matter-Wave Interferometer Detect Translational Speed? |
| Author(s) | Ruyong Wang |
| Keywords | {{{keywords}}} |
| Published | 2008 |
| Journal | ArXiv |
| Volume | arXiv:0808.3135 |
| No. of pages | 5 |
Abstract
Based only on the Galilean addition of velocities and the de Broglie relation, it is deduced that in a matter-wave interferometer with slow-speed particles, a moving segment of deltaL with a velocity V contributes deltaPhi = (2Pi/vlamda)VdotdeltaL to the total phase difference of the interferometer, where v is the speed of the particles and lamda is the wavelength.. This expression is exactly the same as the generalized Sagnac effect for light waves found by experiments except that v is replaced by c. For a rotational motion, it leads to the Sagnac effect. Additionally, the scientific value of this relationship is also to explore the possibility of detecting translation speeds by a matter-wave interferometer. Two configurations of the experimental setup have been indicated and the key element is that the paths of the interfering beams constitute a loop with an opening. If the possibility is confirmed by experiments, the conclusions will be that there is a preferred reference frame for matter waves and a speedometer with a very high sensitivity is possible.
