dorsal/arxiv
View SchemaEinstein's fluctuation formula. A historical overview
| Authors | Sandor Varro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611023 |
| URL | https://arxiv.org/abs/quant-ph/0611023 |
| DOI | 10.1142/S0219477506003379 |
| Journal | Fluctuation and Noise Letters, Vol. 6, No. 3 (2006) R11-R46 |
Abstract
A historical overview is given on the basic results which appeared by the year 1926 concerning Einstein's fluctuation formula of black-body radiation, in the context of light-quanta and wave-particle duality. On the basis of the original publications (from Planck's derivation of the black-body spectrum and Einstein's introduction of the photons up to the results of Born, Heisenberg and Jordan on the quantization of a continuum) a comparative study is presented on the first line of thoughts that led to the concept of quanta. The nature of the particle-like fluctuations and the wave-like fluctuations are analysed by using several approaches. With the help of the classical probability theory, it is shown that the infinite divisibility of the Bose distribution leads to the new concept of classical poissonian photo-multiplets or to the binary photo-multiplets of fermionic character. As an application, Einstein's fluctuation formula is derived as a sum of fermion type fluctuations of the binary photo-multiplets.
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"abstract": "A historical overview is given on the basic results which appeared by the\nyear 1926 concerning Einstein\u0027s fluctuation formula of black-body radiation, in\nthe context of light-quanta and wave-particle duality. On the basis of the\noriginal publications (from Planck\u0027s derivation of the black-body spectrum and\nEinstein\u0027s introduction of the photons up to the results of Born, Heisenberg\nand Jordan on the quantization of a continuum) a comparative study is presented\non the first line of thoughts that led to the concept of quanta. The nature of\nthe particle-like fluctuations and the wave-like fluctuations are analysed by\nusing several approaches. With the help of the classical probability theory, it\nis shown that the infinite divisibility of the Bose distribution leads to the\nnew concept of classical poissonian photo-multiplets or to the binary\nphoto-multiplets of fermionic character. As an application, Einstein\u0027s\nfluctuation formula is derived as a sum of fermion type fluctuations of the\nbinary photo-multiplets.",
"arxiv_id": "quant-ph/0611023",
"authors": [
"Sandor Varro"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0219477506003379",
"journal_ref": "Fluctuation and Noise Letters, Vol. 6, No. 3 (2006) R11-R46",
"title": "Einstein\u0027s fluctuation formula. A historical overview",
"url": "https://arxiv.org/abs/quant-ph/0611023"
},
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