The Bose-Einstein condensate temperature of an ideal blackbody

The oscillators of a perfect blackbody are considered as non-interacting entities. Thus, Bose-Einstein Condensation is possible for these entities. The Bose-Einstein Condensate (BEC) temperature of a perfect blackbody is calculated from the Planck’s theory of blackbody radiation and de Broggle’s wav...

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Main Author: Arijit Bag
Format: Article
Language:English
Published: AIP Publishing LLC 2018-09-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5033940
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author Arijit Bag
author_facet Arijit Bag
author_sort Arijit Bag
collection DOAJ
description The oscillators of a perfect blackbody are considered as non-interacting entities. Thus, Bose-Einstein Condensation is possible for these entities. The Bose-Einstein Condensate (BEC) temperature of a perfect blackbody is calculated from the Planck’s theory of blackbody radiation and de Broggle’s wave-particle duality relation. It is observed that the BEC temperature of an ideal blackbody is 4.0K. Thus, bellow 4.0K temperature the energy density vs wavelength plot of a blackbody would look like a delta function. In this region, a blackbody would absorb or emit radiation of unique frequency depending upon its temperature. It is also possible to calculate the rest mass and the ground state vibrational energy of the oscillators of a blackbody using present formalism.
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spelling doaj.art-14deec3c32214eec94f40dadc11102e62022-12-21T22:09:05ZengAIP Publishing LLCAIP Advances2158-32262018-09-0189095119095119-710.1063/1.5033940100809ADVThe Bose-Einstein condensate temperature of an ideal blackbodyArijit Bag0Division of Chemical Sciences, Indian Institute of Science Education and Research, Kolkata, Mohanpur, Nadia, WB 741246, IndiaThe oscillators of a perfect blackbody are considered as non-interacting entities. Thus, Bose-Einstein Condensation is possible for these entities. The Bose-Einstein Condensate (BEC) temperature of a perfect blackbody is calculated from the Planck’s theory of blackbody radiation and de Broggle’s wave-particle duality relation. It is observed that the BEC temperature of an ideal blackbody is 4.0K. Thus, bellow 4.0K temperature the energy density vs wavelength plot of a blackbody would look like a delta function. In this region, a blackbody would absorb or emit radiation of unique frequency depending upon its temperature. It is also possible to calculate the rest mass and the ground state vibrational energy of the oscillators of a blackbody using present formalism.http://dx.doi.org/10.1063/1.5033940
spellingShingle Arijit Bag
The Bose-Einstein condensate temperature of an ideal blackbody
AIP Advances
title The Bose-Einstein condensate temperature of an ideal blackbody
title_full The Bose-Einstein condensate temperature of an ideal blackbody
title_fullStr The Bose-Einstein condensate temperature of an ideal blackbody
title_full_unstemmed The Bose-Einstein condensate temperature of an ideal blackbody
title_short The Bose-Einstein condensate temperature of an ideal blackbody
title_sort bose einstein condensate temperature of an ideal blackbody
url http://dx.doi.org/10.1063/1.5033940
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