Planckの遷移確率の導出とEinsteinの輻射の量子論

• 今野 宏之

書誌事項

タイトル別名

• Planck's Derivation of Transition Probabilities and Einstein's Quantum Theory of Radiation
• Planck ノ センイ カクリツ ノ ドウシュツ ト Einstein ノ フクシャ ノ リョウシロン

抄録

In 1916 Einstein considered a thermal equilibrium between blackbody radiation and gas molecules in a cavity. On this occasion he introduced probability coefficients A and B of spontaneous and induced transitions, respectively. Then, he derived the ratio A/B (Eq. (4) in the text). With respect to this, Planck, in the fourth edition of his book (1921), Lectures on the Heat Radiation, derived the individual equation of A (Eq. (13)). Furthermore, it is quite interesting that in the course of derivation Planck introduced the substitution of a difference quotient (Eq. (11)) for a differential one (Eq. (9)). Thus, it should be noted that Planck employed this mathematical manipulation earlier than Kramers. This paper also argues that Planck's idea of difference quotient stems from the energy fluctuation based on the Fokker equation (7).

収録刊行物

• 科学史研究

  科学史研究 48 (252), 204-213, 2009

  日本科学史学会

キーワード

• Einsteinの遷移確率
• Planckの微分-差分
• エネルギーのゆらぎ

詳細情報

• CRID: 1390288912169654016
• NII論文ID: 110007539783
• NII書誌ID: AN10104688
• ISSN: 00227692
• ISSN: 24350524
• ISSN: 21887535
• DOI: 10.34336/jhsj.48.252_204
• NDL書誌ID: 10561865
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10561865
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可