<p>Satyendranath Bose was one of the founding fathers of quantum mechanics, and his pioneering work on the derivation of Planck’s law of blackbody radiation completed 100 years in July 2024. In honor of his scientific contributions, this article revisits Bose’s work on Planck’s law. For completeness, a brief history of the origin of Planck’s radiation formula is presented here. First, we take a look at Planck’s hypothesis regarding blackbody radiation, followed by Einstein’s hypotheses on the emission and absorption of radiation by molecules in the context of the origin of Planck’s law. Finally, we present Bose’s derivation of Planck’s law and its far-reaching consequences. The standard presentation of Bose-Einstein statistics is based on the ideas from Bose’s work, which are usually presented as assumptions in most textbooks. The author believes that a presentation of Bose’s work in the context of its connection with the prerequisites for Bose-Einstein statistics would be of interest to undergraduate students.</p>

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Derivation of Planck’s Law of Radiation by Satyendranath Bose

  • Subha Samanta

摘要

Satyendranath Bose was one of the founding fathers of quantum mechanics, and his pioneering work on the derivation of Planck’s law of blackbody radiation completed 100 years in July 2024. In honor of his scientific contributions, this article revisits Bose’s work on Planck’s law. For completeness, a brief history of the origin of Planck’s radiation formula is presented here. First, we take a look at Planck’s hypothesis regarding blackbody radiation, followed by Einstein’s hypotheses on the emission and absorption of radiation by molecules in the context of the origin of Planck’s law. Finally, we present Bose’s derivation of Planck’s law and its far-reaching consequences. The standard presentation of Bose-Einstein statistics is based on the ideas from Bose’s work, which are usually presented as assumptions in most textbooks. The author believes that a presentation of Bose’s work in the context of its connection with the prerequisites for Bose-Einstein statistics would be of interest to undergraduate students.