Semiclassical singularities propagation property for Schrodinger equations

• Nakamura Shu

  Graduate School of Mathematical Science, University of Tokyo

書誌事項

タイトル別名

• Semiclassical singularities propagation property for Schrödinger equations
• Semiclassical singularity propagation property for Schrödinger equations

抄録

We consider Schrödinger equations with variable coefficients, which are long-range type perturbations of the flat Laplacian on Rⁿ. We characterize the wave front set of solutions to Schrödinger equations in terms of the initial state. Then it is shown that the singularities propagates along the classical flow, and results are formulated in a semiclassical setting. Methods analogous to the long-range scattering theory, in particular a modified free propagator, are employed.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 61 (1), 177-211, 2009

  一般社団法人 日本数学会

キーワード

• propagation of singularities
• Schrödinger equations
• wave front set

詳細情報

• CRID: 1390001205114697984
• NII論文ID: 10024905566
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06110177
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 9773281
• Web Site: http://id.ndl.go.jp/bib/9773281
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9773281
• 本文言語コード: en
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