dorsal/arxiv
View SchemaBremsstrahlung from Charged Bose-Einstein Condensates
| Authors | Mark P. Davidson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406084 |
| URL | https://arxiv.org/abs/quant-ph/0406084 |
Abstract
Low energy bremsstrahlung formulae are derived for a particle beam of charged bosons forming a Bose-Einsten condensate. The expression for energy radiated consists of two terms in this case. One of them, the larger one in the limit of large numbers of Bosons in the state, is proportional to the number of bosons squared and has the same form as one obtains in a hydrodynamic model of quantum wave mechanics. This term is sensitive to the size and shape of the wave packet especially when the force field causing acceleration is localized in extent. The second term, identical to the single particle scattering formula, is less sensitive to the wave packet size and shape and is proportional to the number of bosons in the condensate. The conclusion is that for a Bose-Einstein condensate the radiated bremsstrahlung is a sensitive function of the wave packet shape which is quite different than for a beam of incoherent particles which do not show very much dependence on the wave packet. Only lowest order radiation is calculated. It is also found that to lowest order there does not exist any situation in which the radiation loss from a coherent state of bosons vanishes completely, so that there is no analog of superconductivity in a particle beam of this type at least within the net of assumptions made in this paper. The amount of radiation can be greatly suppressed however, as it is a sensitive function of the form of the wave function.
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"abstract": "Low energy bremsstrahlung formulae are derived for a particle beam of charged\nbosons forming a Bose-Einsten condensate. The expression for energy radiated\nconsists of two terms in this case. One of them, the larger one in the limit of\nlarge numbers of Bosons in the state, is proportional to the number of bosons\nsquared and has the same form as one obtains in a hydrodynamic model of quantum\nwave mechanics. This term is sensitive to the size and shape of the wave packet\nespecially when the force field causing acceleration is localized in extent.\nThe second term, identical to the single particle scattering formula, is less\nsensitive to the wave packet size and shape and is proportional to the number\nof bosons in the condensate. The conclusion is that for a Bose-Einstein\ncondensate the radiated bremsstrahlung is a sensitive function of the wave\npacket shape which is quite different than for a beam of incoherent particles\nwhich do not show very much dependence on the wave packet. Only lowest order\nradiation is calculated. It is also found that to lowest order there does not\nexist any situation in which the radiation loss from a coherent state of bosons\nvanishes completely, so that there is no analog of superconductivity in a\nparticle beam of this type at least within the net of assumptions made in this\npaper. The amount of radiation can be greatly suppressed however, as it is a\nsensitive function of the form of the wave function.",
"arxiv_id": "quant-ph/0406084",
"authors": [
"Mark P. Davidson"
],
"categories": [
"quant-ph"
],
"title": "Bremsstrahlung from Charged Bose-Einstein Condensates",
"url": "https://arxiv.org/abs/quant-ph/0406084"
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