Quantization of Kramers′ Rate Theory

• Ishioka Shunya

  The Research Institute for Iron, Steel and Other Metals, Tohoku University

書誌事項

タイトル別名

• Quantization of Kramers’ Rate Theory

抄録

With use of the Wigner representation, the Kramers equation for a Brownian particle in a potential field of external force is extended to the quantum mechanical case. As a simple application of the equation, the rate of jump over a potential barrier is estimated to the lowest order approximation in h. The rate increases due to the quantum mechanical effect by the factor 1+(βhω)²ω²⁄6(η²+ω²), where ω, η and β are the angular frequency of the particle in the potential well, viscosity and the inverse of temperature, respectively.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 48 (2), 367-376, 1980

  一般社団法人 日本物理学会

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1390282679161658752
• NII論文ID: 110001964747
• NII論文ID: 130003896262
• NII論文ID: 210000088627
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.48.367
• BIBCODE: 1980JPSJ...48..367I
• COI: 1:CAS:528:DyaL3cXhsFensLY%3D
• ISSN: 13474073
• ISSN: 00319015
• MRID: 563568
• NDL書誌ID: 2168716
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I2168716
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.48.367
• 本文言語コード: en
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