Quantization of the electromagnetic field, entropy of an ideal monoatomic gas, and the birth of Bose-Einstein statistics
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909566585798656 |
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| author | Mansuripur, Masud |
| author_facet | Mansuripur, Masud |
| contents | In 1924, Einstein received a short manuscript in the mail from the Indian physicist S.N. Bose. He quickly translated Bose's manuscript to German and submitted it to Zeitschrift für Physik. Within a few weeks, Einstein presented his own findings (using a generalization of Bose's counting method) to a session of the Prussian Academy of Sciences. Whereas Bose had suggested a new counting method for the quanta of the electromagnetic field -- one that yielded Planck's blackbody radiation formula -- Einstein applied Bose's method to an ideal monoatomic gas. Shortly afterward, Einstein presented to the Academy a follow-up paper in which he described the Bose-Einstein condensation for the first time. The present paper describes some of the fascinating issues that Einstein struggled with as he attempted to unify the quantum-statistical properties of matter with those of the electromagnetic field. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_03689 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantization of the electromagnetic field, entropy of an ideal monoatomic gas, and the birth of Bose-Einstein statistics Mansuripur, Masud History and Philosophy of Physics Optics Quantum Physics In 1924, Einstein received a short manuscript in the mail from the Indian physicist S.N. Bose. He quickly translated Bose's manuscript to German and submitted it to Zeitschrift für Physik. Within a few weeks, Einstein presented his own findings (using a generalization of Bose's counting method) to a session of the Prussian Academy of Sciences. Whereas Bose had suggested a new counting method for the quanta of the electromagnetic field -- one that yielded Planck's blackbody radiation formula -- Einstein applied Bose's method to an ideal monoatomic gas. Shortly afterward, Einstein presented to the Academy a follow-up paper in which he described the Bose-Einstein condensation for the first time. The present paper describes some of the fascinating issues that Einstein struggled with as he attempted to unify the quantum-statistical properties of matter with those of the electromagnetic field. |
| title | Quantization of the electromagnetic field, entropy of an ideal monoatomic gas, and the birth of Bose-Einstein statistics |
| topic | History and Philosophy of Physics Optics Quantum Physics |
| url | https://arxiv.org/abs/2504.03689 |